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SPIRES-BOOKS: FIND KEYWORD FUNCTIONAL EQUATIONS *END*INIT* use /tmp/qspiwww.webspi1/8028.166 QRY 131.225.70.96 . find keyword functional equations ( in books using www Cover
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Call number:9789811031809:ONLINE Show nearby items on shelf
Title:Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
Author(s): Marat Akhmet
Date:2017
Size:1 online resource (XI, 166 p. 31 illus., 26 illus. in color p.)
Contents:Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork
Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type
ISBN:9789811031809
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Control engineering , Mathematics , Dynamical Systems and Ergodic Theory , Control , Applications of Nonlinear Dynamics and Chaos Theory , Difference and Functional Equations , Ordinary Differential Equations
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Call number:9783319516585:ONLINE Show nearby items on shelf
Title:Inverse Problems for Partial Differential Equations
Author(s): Victor Isakov
Date:2017
Edition:3rd ed. 2017
Size:1 online resource (XV, 406 p. 4 illus p.)
Contents:Inverse Problems -- Ill-Posed Problems and Regularization -- Uniqueness and Stability in the Cauchy Problem -- Elliptic Equations: Single Boundary Measurements -- Elliptic Equations: Many Boundary Measurements -- Scattering Problems
and Stationary Waves -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse Parabolic Problems -- Some Numerical Methods -- Appendix: Functional Spaces
ISBN:9783319516585
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Remote sensing , Partial differential equations , Computer mathematics , Physics , Mathematics , Partial Differential Equations , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics , Remote Sensing/Photogrammetry
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Call number:9783319509303:ONLINE Show nearby items on shelf
Title:Random Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
Author(s): Guy Fayolle
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 248 p. 17 illus p.)
Contents:Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled
Processor Model. - References
ISBN:9783319509303
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Mathematical statistics , Difference equations , Functional equations , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Difference and Functional Equations
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Call number:9783319428130:ONLINE Show nearby items on shelf
Title:Positive Operator Semigroups From Finite to Infinite Dimensions
Author(s): András Bátkai
Date:2017
Size:1 online resource (XVIII, 364 p p.)
Contents:1 An Invitation to Positive Matrices -- 2 Functional Calculus -- 3 Powers of Matrices -- 4 Matrix Exponential Function -- 5 Positive Matrices -- 6 Applications of Positive Matrices -- 7 Positive Matrix Semigroups and Applications -- 8
Positive Linear Systems -- 9 Banach Lattices -- 10 Positive Operators -- 11 Operator Semigroups -- 12 Generation Properties -- 13 Spectral Theory for Positive Semigroups I -- 14 Spectral Theory for Positive Semigroups II -- 15 An
application to linear transport equations -- Appendices -- Index
ISBN:9783319428130
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Matrix theory , Algebra , Operator theory , Mathematics , Operator Theory , Linear and Multilinear Algebras, Matrix Theory
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Call number:1119189470:ONLINE Show nearby items on shelf
Title:Functional Differential Equations: Advances and Applications
Author(s): Corduneanu
Date:2016
Publisher:Wiley
Size:1 online resource (369 p.)
ISBN:9781119189473
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:SPRINGER-2016-9789811005190:ONLINE Show nearby items on shelf
Title:Recent Advances in Mathematical Sciences Selected Papers from ICREM7 2015
Author(s):
Date:2016
Size:1 online resource (109 p.)
Note:10.1007/978-981-10-0519-0
Contents:Chapter 1: Counting Trees and Rooted Trees with Applications -- Chapter 2: Boundedness and Stability of Leslie-Gower Model with Sokol-Howell Functional Response -- Chapter 3: Fifth order Four Stage Explicit Trigonometrically-fitted Runge–Kutta– Nystrӧm Methods -- Chapter 4: Modified Homotopy Perturbation Method For Fredholm-Volterra Integro-Differential Equation -- Chapter 5: Simultaneous Effects of Soret and Dufour on the Unsteady Stagnation Point Flow of Micropolar Fluid towards a Permeable S tretching Sheet -- Chapter 6: One-Step Implicit Hybrid Method for Solving Semi-Explicit Index-1 Differential Algebraic Equations -- Chapter 7: An Artificial Intelligence Strategy for the Prediction of Wind Speed and Direction in Sarawak for Wind Energy Ma pping -- Chapter 8: Stability Analysis of Dengue Disease Using Host – Vector Model -- Chapter 9: Simple Motion Evasion Differential Game of One Pursuer and One Evader.
ISBN:9789811005190
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Mathematical analysis , Analysis (Mathematics) , Game theory , Geometry , Operations research , Management science , Mathematical physics , Mathematics , Analysis , Mathematical Physics , Algebra , Geometry , Operations Research, Management Science , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-2016-9783662475003:ONLINE Show nearby items on shelf
Title:Replication of Chaos in Neural Networks, Economics and Physics
Author(s): Marat Akhmet
Date:2016
Edition:1st ed. 2016
Size:1 online resource (133 p.)
Note:10.1007/978-3-662-47500-3
Contents:Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time
Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems
ISBN:9783662475003
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Difference equations , Functional equations , Biomathematics , Statistical physics , Mechanics , Mechanics, Applied , Economic theory , Physics , Nonlinear Dynamics , Difference and Functional Equations , Theoretical and Applied Mechanics , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology
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Call number:SPRINGER-2016-9783319342191:ONLINE Show nearby items on shelf
Title:Entropy Methods for Diffusive Partial Differential Equations
Author(s): Ansgar Jüngel
Date:2016
Size:1 online resource (139 p.)
Note:10.1007/978-3-319-34219-1
Contents:1 Introduction -- 2 Fokker–Planck equations -- 3 Systematic Integration by Parts -- 4 Cross-Diffusion Systems -- 5 Towards Discrete Entropy Methods -- 6 Appendix A: Technical Tools
ISBN:9783319342191
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Difference equations , Functional equations , Functional analysis , Partial differential equations , Mathematics , Partial Differential Equations , Functional Analysis , Difference and Functional Equations
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Call number:SPRINGER-2016-9783319338774:ONLINE Show nearby items on shelf
Title:Spectral Theory of Infinite-Area Hyperbolic Surfaces
Author(s): David Borthwick
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (37 p.)
Note:10.1007/978-3-319-33877-4
Contents:Introduction -- Hyperbolic Surfaces -- Selberg Theory for Finite-Area Hyperbolic Surfaces -- Spectral Theory for the Hyperbolic Plane -- Model Resolvents for Cylinders -- The Resolvent -- Spectral and Scattering Theory -- Resonances and Scattering Poles -- Growth Estimates and Resonance Bounds -- Selberg Zeta Function -- Wave Trace and Poisson Formula -- Resonance Asymptotics -- Inverse Spectral Geometry -- Patterson-Sullivan Theory -- Dynamical Approach to the Zeta Function -- Numerical Computatio ns -- Appendix -- References -- Notation Guide -- Index
ISBN:9783319338774
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 318
Keywords: Mathematics , Functional analysis , Functions of complex variables , Partial differential equations , Hyperbolic geometry , Physics , Mathematics , Functional Analysis , Partial Differential Equations , Functions of a Complex Variable , Hyperbolic Geometry , Mathematical Methods in Physics
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Call number:SPRINGER-2016-9783319321448:ONLINE Show nearby items on shelf
Title:From Particle Systems to Partial Differential Equations III Particle Systems and PDEs III, Braga, Portugal, December 2014
Author(s):
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-319-32144-8
Contents:Convergence of Diffusion-Drift Many Particle Systems in Probability under a Sobolev Norm -- Global asymptotic stability of a general nonautonomous Cohen-Grossberg model with unbounded amplification functions -- Modelling of systems with a dispersed phase: “measuring” small sets in the presence of elliptic operators -- From market data to agent-based models and stochastic differential equations -- Entropy dissipation estimates for the Landau equation: General cross sections -- Phase transitions and coarse-graining for a system of particles in the continuum -- Sub–shock formation in reacting gas mixtures -- The gradient flow approach to hydrodynamic limits for the simple exclusion process -- The gradient flow approach to hydrodynamic limits f or the simple exclusion process -- Hydrodynamic limit of quantum random walks -- Derivation of the Boltzmann equation: hard spheres, short-range potentials and beyond -- Duality relations for the periodic ASEP conditioned on a low current --
Asymptotics for FBSDES with Jumps and Connections with Partial Integral Differential Equations -- The Boltzmann Equation over RD: Dispersion vs Dissipation
ISBN:9783319321448
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 162
Keywords: Mathematics , Functional analysis , Partial differential equations , Applied mathematics , Engineering mathematics , Probabilities , Physics , Mathematics , Functional Analysis , Partial Differential Equations , Applications of Mathematics , Probability Theory and Stochastic Processes , Numerical and Computational Physics
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Call number:SPRINGER-2016-9783319313382:ONLINE Show nearby items on shelf
Title:Essays in Mathematics and its Applications In Honor of Vladimir Arnold
Author(s):
Date:2016
Size:1 online resource (22 p.)
Note:10.1007/978-3-319-31338-2
Contents:A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender) -- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti) -- Manifolds which are complex and symplectic bu t not Kahler (G. Bazzoni, V. Munoz) -- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja) -- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wi ggins) -- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler) -- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu) -- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth) -- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak) -- On the fixed points of a Hamiltonian diffeomorphism in presence of
fundamental group (K. Ono, A. Pajitnov) -- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas) -- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias) -- The Maslov Ind ex in PDEs Geometry (A. Prastaro) -- On the infimum of certain functionals (B. Ricceri) -- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran) -- Mild continuity properties of relations and relators in rela tor spaces (A. Szaz, A. Zakaria) -- Contraction Maps in Pseudometric Structures (M. Turinici) -- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar)
ISBN:9783319313382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Algebraic topology , Complex manifolds , Mathematics , Dynamical Systems and Ergodic Theory , Algebraic Topology , Manifolds and Cell Complexes (incl. Diff.Topology) , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319312811:ONLINE Show nearby items on shelf
Title:Mathematical Analysis, Approximation Theory and Their Applications
Author(s):
Date:2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-31281-1
Contents:A brief history of the Favard operator and its variants -- Bivariate extension of linear positive operators -- Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives -- The retraction-displacement condition in the theo ry of fixed point equation with a convergent iterative algorithm -- An adaptive finite element method for solving a free boundary problem with periodic boundary conditions in lubrication theory -- Evolution solutions of equilibrium problems - a computatio nal approach -- Cantor, Banach and Baire theorems in generalized metric spaces -- A Survey of Perturbed Ostrowski Type Inequalities -- Hyers-Ulam-Rassias stability of the generalized Wilson’s functional equation -- Approximation under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane -- On the asymptotic behavior of sequences of positive linear approximation operators -- Approximation of functions by additive and by quadratic mappings -- Bernstein Type
Inequalities concerning Growth of Polynomials -- Approximation for generalization of Baskakov-Durrmeyer operators -- A Tour on p (x)-Laplacian Problems When p = ∞ -- An umbral calculus approach to Bernoulli-Padé polynomials -- Hadamard Matrices: Insights into their growth factor and determinant computations -- Localized summability kernels for Jacobi expansions -- Quadrature rules with multiple nodes -- A -summability of sequences of linear conservative operators -- Simultaneous Weighted Approxim ation with Multivariate Baskakov-Schurer Operators -- Approximation of Discontinuous Functions by q-Bernstein Polynomials -- Nests, and their Role in the Orderability Problem -- Resolvent Operators for Some Classes of Integro-Differential Equations -- Com ponent Matrices of a Square Matrix and their Properties -- Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators -- A modified pointwise estimate on simultaneous
approximation by Bernstein polynomials -- Structural Fixed Point Results in Metric Spaces -- Models of Fuzzy Linear Regression: An Application in Engineering -- Properties of Functions of generalized bounded variations
ISBN:9783319312811
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 111
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Special functions , Computer mathematics , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Operator Theory , Special Functions , Global Analysis and Analysis on Manifolds , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319299921:ONLINE Show nearby items on shelf
Title:Spectral Theory and Mathematical Physics
Author(s):
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-319-29992-1
Contents:Preface -- Lower bounds for sojourn time in a simple shape resonance model -- Spectral properties for Hamiltonians of weak interactions -- Magnetic Laplacian in sharp three-dimensional cones -- Spectral clusters for magnetic exterior problems -- Th e spectral shift function and the Witten index -- Stahl’s theorem (aka BMV conjecture): insights and intuition on its proof -- Some estimates regarding integrated density of states for random Schrödinger operator with decaying random potentials -- Boun dary values of resolvents of self-adjoint operators in Krein spaces and applications to the Klein-Gordon equation -- Levinson’s theorem: an index theorem in scattering theory -- Counting function of magnetic resonances for non-definite sign perturbation s -- Harmonic analysis and random Schrödinger operators
ISBN:9783319299921
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 254
Keywords: Mathematics , Functional analysis , Operator theory , Partial differential equations , Mathematical physics , Mathematics , Functional Analysis , Operator Theory , Mathematical Physics , Partial Differential Equations
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Call number:SPRINGER-2016-9783319299778:ONLINE Show nearby items on shelf
Title:The Callias Index Formula Revisited
Author(s): Fritz Gesztesy
Date:2016
Size:1 online resource (192 p.)
Note:10.1007/978-3-319-29977-8
Contents:Introduction.-Notational Conventions -- Functional Analytic -- On Schatten–von Neumann Classes and Trace Class -- Pointwise Estimates for Integral Kernels -- Dirac-Type -- Derivation of the Trace Formula – The Trace Class Result -- Derivation o f the Trace Formula – Diagonal Estimates -- The Case n = 3 -- The Index Theorem and Some Consequences -- Perturbation Theory for the Helmholtz Equation -- The Proof of Theorem 10.2: The Smooth Case -- The Proof of Theorem 10.2: The General Case -- A Par ticular Class of Non-Fredholm Operators L and Their Generalized Witten Index -- A: Construction of the Euclidean Dirac Algebra -- B: A Counterexample to [22, Lemma 5] -- References -- Index
ISBN:9783319299778
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2157
Keywords: Mathematics , Functional analysis , Operator theory , Partial differential equations , Mathematics , Partial Differential Equations , Operator Theory , Functional Analysis
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Call number:SPRINGER-2016-9783319297361:ONLINE Show nearby items on shelf
Title:Differential and Difference Equations A Comparison of Methods of Solution
Author(s): Leonard C Maximon
Date:2016
Size:1 online resource (162 p.)
Note:10.1007/978-3-319-29736-1
Contents:Preface -- Introduction -- 1 Operators -- 2 Solution of homogeneous and inhomogeneous linear equations -- 3 First order homogeneous and inhomogeneous linear equations -- 4 Second-order homogeneous and inhomogeneous equations -- 5
Self-adjoint linear equations -- 6 Green’s function -- 7 Generating function, z-transforms, Laplace transforms and the solution of linear differential and difference equations -- 8 Dictionary of difference equations with polynomial
coefficients -- Appendix A: Difference operator -- Appendix B: Notation -- Appendix C: Wronskian Determinant -- Appendix D: Casoratian Determinant -- Appendix E: Cramer’s Rule -- Appendix F: Green’s function and the Superposition
principle -- Appendix G: Inverse Laplace transforms and Inverse Generating functions -- Appendix H: Hypergeometric function -- Appendix I: Confluent Hypergeometric function -- Appendix J. Solutions of the second kind -- Bibliography
ISBN:9783319297361
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Difference equations , Functional equations , Differential equations , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Difference and Functional Equations , Mathematical Applications in the Physical Sciences , Ordinary Differential Equations
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Call number:SPRINGER-2016-9783319290751:ONLINE Show nearby items on shelf
Title:Divergent Series, Summability and Resurgence II Simple and Multiple Summability
Author(s): Michèle Loday-Richaud
Date:2016
Size:1 online resource (272 p.)
Note:10.1007/978-3-319-29075-1
Contents:Avant-propos -- Preface to the three volumes -- Introduction to this volume -- 1 Asymptotic Expansions in the Complex Domain -- 2 Sheaves and Čech cohomology -- 3 Linear Ordinary Differential Equations -- 4 Irregularity and Gevrey Index Theorems - - 5 Four Equivalent Approaches to k-Summability -- 6 Tangent-to-Identity Diffeomorphisms -- 7 Six Equivalent Approaches to Multisummability -- Exercises -- Solutions to Exercises -- Index -- Glossary of Notations -- References
ISBN:9783319290751
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2154
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Difference and Functional Equations , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319287393:ONLINE Show nearby items on shelf
Title:Nonlocal Diffusion and Applications
Author(s): Claudia Bucur
Date:2016
Size:1 online resource (23 p.)
Note:10.1007/978-3-319-28739-3
Contents:Introduction -- 1 A probabilistic motivation.-1.1 The random walk with arbitrarily long jumps -- 1.2 A payoff model.-2 An introduction to the fractional Laplacian.-2.1 Preliminary notions -- 2.2 Fractional Sobolev Inequality and Generalized Coarea F ormula -- 2.3 Maximum Principle and Harnack Inequality -- 2.4 An s-harmonic function -- 2.5 All functions are locally s-harmonic up to a small error -- 2.6 A function with constant fractional Laplacian on the ball -- 3 Extension problems -- 3.1 Water wave model -- 3.2 Crystal dislocation -- 3.3 An approach to the extension problem via the Fourier transform -- 4 Nonlocal phase transitions -- 4.1 The fractional Allen-Cahn equation -- 4.2 A nonlocal version of a conjecture by De Giorgi -- 5 Nonlocal minimal surfaces -- 5.1 Graphs and s-minimal surfaces -- 5.2 Non-existence of singular cones in dimension 2 5.3 Boundary regularity -- 6 A nonlocal nonlinear stationary Schrödinger type equation -- 6.1 From the nonlocal Uncertainty Principle to a
fractional weighted inequality -- Alternative proofs of some results -- A.1 Another proof of Theorem A.2 Another proof of Lemma 2.3 -- References
ISBN:9783319287393
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes of the Unione Matematica Italiana: 20
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Partial differential equations , Calculus of variations , Mathematics , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf
Title:Computational Analysis AMAT, Ankara, May 2015 Selected Contributions
Author(s):
Date:2016
Size:1 online resource (396 p.)
Note:10.1007/978-3-319-28443-9
Contents:Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).
ISBN:9783319284439
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 155
Keywords: Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions
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Call number:SPRINGER-2016-9783319276984:ONLINE Show nearby items on shelf
Title:Moving Interfaces and Quasilinear Parabolic Evolution Equations
Author(s): Jan Prüss
Date:2016
Size:1 online resource (609 p.)
Note:10.1007/978-3-319-27698-4
Contents:Preface -- Basic Notations -- General References -- Part I Background -- 1Problems and Strategies -- 2.Tools from Differential Geometry -- Part II Abstract Theory -- 3Operator Theory and Semigroups -- 4.Vector-Valued Harmonic Analysis -- 5.Quasilin ear Parabolic Evolution Equations -- Part III Linear Theory -- 6.Elliptic and Parabolic Problems -- 7.Generalized Stokes Problems -- 8.Two-Phase Stokes Problems -- Part IV Nonlinear Problems -- 9.Local Well-Posedness and Regularity -- 10.Linear Stability of Equilibria -- 11.Qualitative Behaviour of the Semiows -- 12.Further Parabolic Evolution Problems -- Biographical Comments -- Outlook and Future Challenges -- References -- List of Figures -- List of Symbols -- Subject Index
ISBN:9783319276984
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Monographs in Mathematics: 105
Keywords: Mathematics , Functional analysis , Partial differential equations , Physics , Mathematics , Partial Differential Equations , Mathematical Methods in Physics , Functional Analysis
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Call number:SPRINGER-2016-9783319271286:ONLINE Show nearby items on shelf
Title:Stochastic Integration by Parts and Functional Itô Calculus
Author(s): Vlad Bally
Date:2016
Edition:1st ed. 2016
Size:1 online resource (207 p.)
Note:10.1007/978-3-319-27128-6
ISBN:9783319271286
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Differential equations , Partial differential equations , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Ordinary Differential Equations , Partial Differential Equations
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Call number:SPRINGER-2016-9783319269023:ONLINE Show nearby items on shelf
Title:Quantum Mathematical Physics A Bridge between Mathematics and Physics
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-26902-3
Contents:Preface -- Christopher J. Fewster. On the Spin-Statistics Connection in Curved Spacetimes -- Daniel Becker, Martin Reuter. Is there a C-Function in 4D Quantum Einstein Gravity? -- José M. Gracia-Bondía.Systematic Renormalization at all Orders in t he DiffRen and Improved Epstein{Glaser Schemes -- Michael Dütsch. Higgs Mechanism and Renormalization Group Flow:Are They Compatible? -- Claudio Dappiaggi. Hadamard States From Null Infinity -- Michael Gransee.Local Thermal Equilibrium States in Relativi stic Quantum Field Theory -- Frédéric Paugam. Categorical Methods in Quantum Field Theory -- Harald Grosse, Raimar Wulkenhaar.A Solvable Four-Dimensional QFT -- Rainer Verch. Wave Equations with Non-Commutative Space and Time -- Gandalf Lechner, Jan Sch lemmer.Thermal Equilibrium States for Quantum Fields on Non-Commutative Spacetimes -- Christian Fleischhack.Kinematical Foundations of Loop Quantum Cosmology -- Gerhard Börner.Cosmic Puzzles - Dark Matter and Dark Energy -- Israel Michael
Sigal.Radiation and Scattering in Non-Relativistic Quantum Electrodynamics -- Stefan Teufel, Roderich Tumulka. Avoiding Ultraviolet Divergence by Means of Interior{Boundary Conditions -- Felix Finster.Causal Fermion Systems - An Overview -- Dirk-And ré Deckert, Franz Merkl. A Perspective on External Field QED -- Enno Keßler.Super Riemann Surfaces and the Super Conformal Action Functional -- Stefan Waldmann. Recent Developments in Deformation Quantization -- Michael K.-H. Kiessling.Dirac's Point Ele ctron in the Zero-Gravity Kerr - Newman World -- Christoph A. Stephan. Noncommutative Geometry and the Physics of the LHC Era -- Klaus Kröncke. Variational Stability and Rigidity of Compact Einstein Manifolds -- Index
ISBN:9783319269023
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Mathematical physics , Physics , Mathematics , Mathematical Physics , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2016-9783319234250:ONLINE Show nearby items on shelf
Title:Stochastics of Environmental and Financial Economics Centre of Advanced Study, Oslo, Norway, 2014-2015
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (27 p.)
Note:10.1007/978-3-319-23425-0
Contents:Some recent developments in ambit stochastics -- Functional and Banach space stochastic calculi. Path-dependent Kolmogorov equations associated with the frame of a Brownian motion -- Nonlinear Young integrals via fractional calculus -- A weak limit theorem for numerical approximation of Brownian semi-stationary processes -- Non-elliptic SPDEs and ambit fields: existence of densities -- Dynamic risk measures and path-dependent second order PDEs -- Pricing CoCos with a market trigger -- Quantification of model risk in quadratic hedging in finance -- Risk-sensitive mean-field type control under partial observation -- Risk aversion in modeling of cap-and-trade mechanism and optimal design of emission markets -- Exponential ergodicity of the jump-diffusi on CIR process -- Optimal control of predictive mean-field equations and applications to finance -- Modelling the impact of wind power production on electricity prices by regime-switching Levy semistationary processes -- Pricing options on
EU ETS certificates with a time-varying market price of risk model
ISBN:9783319234250
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 138
Keywords: Mathematics , Partial differential equations , Game theory , System theory , Calculus of variations , Probabilities , Environmental economics , Mathematics , Systems Theory, Control , Probability Theory and Stochastic Processes , Environmental Economics , Game Theory, Economics, Social and Behav. Sciences , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2016-9783319210155:ONLINE Show nearby items on shelf
Title:Integral Operators in Non-Standard Function Spaces Volume 1: Variable Exponent Lebesgue and Amalgam Spaces
Author(s): Vakhtang Kokilashvili
Date:2016
Size:1 online resource (567 p.)
Note:10.1007/978-3-319-21015-5
Contents:Preface -- I: Variable Exponent Lebesgue and Amalgam spaces -- 1 Hardy Type Operators -- 2 Oscillating weights -- 3 Kernel Integral Operators -- 4 Two-Weight Estimates -- 5 One-sided Operators -- 6 Two-weight Inequalities for Fractional Maximal Fun ctions -- 7 Hypersingular Integrals -- 8 Description of the Range of Potentials 213 -- 9 More on Compactness -- 10 Applications to Singular Integral Equations -- II: Hölder Spaces of Variable Order -- 11 Variable Order Hölder Spaces -- III: Variable Exp onent Morrey-Campanato and Herz Spaces -- 12 Morrey Type Spaces Constant Exponents -- 13 Morrey Type Spaces Variable Exponents -- Bibliography -- Symbol Index -- Subject Index
ISBN:9783319210155
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 248
Keywords: Mathematics , Functional analysis , Operator theory , Mathematics , Operator Theory , Functional Analysis
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Call number:SPRINGER-2016-9783319154312:ONLINE Show nearby items on shelf
Title:Reduced Basis Methods for Partial Differential Equations An Introduction
Author(s): Alfio Quarteroni
Date:2016
Size:1 online resource (296 p.)
Note:10.1007/978-3-319-15431-2
Contents:1 Introduction -- 2 Representative problems: analysis and (high-fidelity) approximation -- 3 Getting parameters into play -- 4 RB method: basic principle, basic properties -- 5 Construction of reduced basis spaces -- 6 Algebraic and geometrical str ucture -- 7 RB method in actions -- 8 Extension to nonaffine problems -- 9 Extension to nonlinear problems -- 10 Reduction and control: a natural interplay -- 11 Further extensions -- 12 Appendix A Elements of functional analysis
ISBN:9783319154312
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:UNITEXT: 92
Keywords: Mathematics , Partial differential equations , Mathematical models , Applied mathematics , Engineering mathematics , Fluid mechanics , Mathematics , Partial Differential Equations , Mathematical Modeling and Industrial Mathematics , Appl.Mathematics/Computational Methods of Engineering , Engineering Fluid Dynamics
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Call number:SPRINGER-2016-9783034809641:ONLINE Show nearby items on shelf
Title:Application of Holomorphic Functions in Two and Higher Dimensions
Author(s): Klaus Gürlebeck
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-0348-0964-1
Contents:1.Basic Properties of Holomorphic Functions -- 2.Conformal and Quasi-conformal Mappings -- 3.Function Theoretic Function spaces -- 4.Operator Calculus -- 5.Decompositions -- 6.Some First Order Systems of Partial Differential Equations -- 7.Boundary Value Problems of Second Order Partial Differential Equations -- 8.Some Initial-boundary Value Problems -- 9.Riemann-Hilbert Problems -- 10.Initial Boundary Value Problems on the Sphere -- 11.Fourier Transforms -- Bibliography -- Index
ISBN:9783034809641
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Mathematics , Integral Transforms, Operational Calculus , Functions of a Complex Variable , Partial Differential Equations , Functional Analysis
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Call number:SPRINGER-2016-9781493927852:ONLINE Show nearby items on shelf
Title:Mathematics for Natural Scientists Fundamentals and Basics
Author(s): Lev Kantorovich
Date:2016
Edition:1st ed. 2016
Size:1 online resource (118 p.)
Note:10.1007/978-1-4939-2785-2
Contents:I. Fundamentals -- Basic Knowledge -- Functions -- II. Basics -- Derivatives -- Integral -- Functions of Many Variables: Differentiation -- Functions of Many Variables: Integration -- Infinite Numerical and Functional Series --
Ordinary Differential Equations
ISBN:9781493927852
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemometrics , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Math. Applications in Chemistry , Mathematical Applications in the Physical Sciences , Numerical and Computational Physics
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Call number:SPRINGER-2016-9781447172802:ONLINE Show nearby items on shelf
Title:Linear Functional Analysis An Application-Oriented Introduction
Author(s): Hans Wilhelm Alt
Date:2016
Size:1 online resource (435 p.)
Note:10.1007/978-1-4471-7280-2
Contents:Introduction -- Preliminaries -- Function spaces -- Subsets of function spaces -- Linear operators -- Linear functionals -- Uniform boundedness principle -- Weak convergence -- Finite-dimensional approximation -- Compact operators -- Spectrum of co mpact operators -- Self-adjoint operators -- References -- Symbols -- Index
ISBN:9781447172802
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Partial differential equations , Mathematics , Functional Analysis , Partial Differential Equations
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Call number:SPRINGER-2014-9788876424991:ONLINE Show nearby items on shelf
Title:Introduction to Stochastic Analysis and Malliavin Calculus [electronic resource]
Author(s): Giuseppe Prato
Date:2014
Publisher:Pisa : Scuola Normale Superiore
Size:1 online resource
Contents:Introduction, Gaussian measures in Hilbert spaces, Gaussian random variables, The Malliavin derivative, Brownian Motion, Markov property of Brownian motion, Itos integral, Itos formula, Stochastic differential equations, Relationship between stocha stic and parabolic equations, Formulae of FeynmanKac and Girsanov, Malliavin calculus, Asymptotic behaviour of transition semigroups, The Dynkin Theorem, Conditional expectation, Martingales, Fixed points depending on parameters, E A basic ergodic theorem
ISBN:9788876424991
Series:eBooks
Series:Springerlink
Series:Publications of the Scuola Normale Superiore : v13
Keywords: Mathematics , Functional analysis , Distribution (Probability theory)
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Call number:SPRINGER-2014-9788847055223:ONLINE Show nearby items on shelf
Title:Numerical Models for Differential Problems [electronic resource]
Author(s): Alfio Quarteroni
Date:2014
Edition:Second Edition
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, andNavier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyzenumerical solution methods based on finite elements , finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computerimplementation aspects and provide a number of easy-to-use programs. The text does no t require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in apreliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific discipline s, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interestingbranch of applied mathematics
Contents:1 A brief survey of partial differential equations
2 Elements of functional analysis
3 Elliptic equations
4 The Galerkin finite element method for elliptic problems
5 Parabolic equations
6 Generation of 1D and 2D grids
7 Algorithms for the solution of linear systems
8 Elements of finite element programming
9 The finite volume method
10 Spectral methods
11 Discontinuous element methods (DG and mortar)
12 Diffusion
transport
reaction equations
13 Finite differences for hyperbolic equations
14 Finite elements and spectral methods for hyperbolic equations
ISBN:9788847055223
Series:eBooks
Series:SpringerLink
Series:MS&A - Modeling, Simulation and Applications, 2037-5255 : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2014-9788847055049:ONLINE Show nearby items on shelf
Title:Modelli Dinamici Discreti [electronic resource]
Author(s): Ernesto Salinelli
Franco Tomarelli
Date:2014
Edition:3a edizione
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Questo volume fornisce una introduzione allanalisi dei sistemi dinamici discreti. La materia presentata mediante un approccio unitario tra il punto di vista modellistico e quello di varie discipline che sviluppano metodi dianalisi e tecniche risolut ive: Analisi Matematica, Algebra Lineare, Analisi Numerica, Teoria dei Sistemi, Calcolo delle Probabilit. Allesame di unampia serie di esempi, segue la presentazione degli strumenti per lo studio disistemi dinamici scalari lineari e non lineari, con parti colare attenzione allanalisi della stabilit. Si studiano in dettaglio le equazioni alle differenze lineari e si fornisce una introduzione elementare alle trasformate Z eDFT. Un capitolo dedicato allo studio di biforcazioni e dinamiche caotiche. I sistemi dinamici vettoriali ad un passo e le applicazioni alle catene di Markov sono oggetto di tre capitoli. Lesposizione autocontenuta: leappendici tematiche presentano prerequisiti, algoritmi e suggerimenti per simulazioni al computer. Ai numerosi esempi pro posti si affianca un gran numero di esercizi, per la maggior parte dei quali si fornisce una soluzionedettagliata. Il volume indirizzato principalmente agli studenti di Ingegneria, Scienze, Biologia ed Economia. Questa terza edizione comprende laggiornam ento di vari argomenti, laggiunta di nuovi esercizi e lampliamentodella trattazione relativa alle matrici positive ed alle loro propriet utili nellanalisi di sistemi, reti e motori di ricerca
Contents:1 Fenomeni ricorsivi ed equazioni alle differenze
2 Equazioni alle differenze lineari
3 Sistemi dinamici discreti: equazioni scalari ad un passo
4 Complessit dei sistemi dinamici non lineari: biforcazioni e caos
5 Sistemi dinamici discreti: equazioni vettoriali
6 Catene di Markov
7 Matrici positive e grafi
8 Soluzioni degli esercizi
Appendice A
Somme e serie
Appendice B
Numeri Complessi
Appendice C
Aritmetica della probabilit
Appendice D
Algebra lineare
Appendice E
Topologia
Appendice F
Dimensione frattale
Appendice G
Tabelle di Z
tra
ISBN:9788847055049
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v71
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functional equations , Differentiable dynamical systems
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Call number:SPRINGER-2014-9788132218951:ONLINE Show nearby items on shelf
Title:Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics [electronic resource]
Author(s): Seshadev Padhi
John R Graef
P. D. N Srinivasu
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied tostudy the existence of tw o or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowfliesmodel, and some models with Allee effects. Ma ny interesting sufficient conditions are given for the dynamics that include nonlinear characteristics exhibited by population models. The last chapter provides results related to the globalappeal of solutions to the models considered in the earlier chapt ers. The techniques used in this book can be easily understood by anyone with a basic knowledge of analysis. This book offers a valuable reference guide for students andresearchers in the field of differential equations with applications to biology, ecolo gy, and the environment
Contents:Chapter 1. Introduction
Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter
Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations
Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations
Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order
Bibliography
ISBN:9788132218951
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Integral equations , Differential Equations
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Call number:SPRINGER-2014-9788132218869:ONLINE Show nearby items on shelf
Title:Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations [electronic resource]
Author(s): Jzef Bana
Mohammad Mursaleen
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has manyapplications. Thebookdi scusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness in particular, the Hausdorff measure of noncompactness has beenapplied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. Thebookconsists of eight self-contained chapters. Chapter 1 discussesthe theory of FK spaces andChapter2various duals of sequence spaces, which are used to characterize the matrix classes be tween these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties.The techniques associated with measures of noncompactness are applied to characterize the compact matrix ope rators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential andintegral equations, which are obtained with the help of argumentations based on compactness conditions
Contents:Chapter 1. Introduction to FK spaces
Chapter 2. Matrix Transformations
Chapter 3. Some new sequence spaces of non
absolute type
Chapter 4. Some non
classical sequence spaces
Chapter 5. Measures of noncompactness
Chapter 6. Application to compact matrix operators
Chapter 7. Applications to infinite systems of differential equations
Chapter 8. Applications to integral equations
ISBN:9788132218869
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Integral equations , Operator theory , Differential Equations , Differential equations, partial , Sequences (Mathematics)
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Call number:SPRINGER-2014-9788132216148:ONLINE Show nearby items on shelf
Title:Theory of Third-Order Differential Equations [electronic resource]
Author(s): Seshadev Padhi
Smita Pati
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, inhis book written in 198 7, only deals with third-order linear differential equations. These findings are old, and new techniques have since been developed and new results obtained. Chapter 1 introduces the results for oscillation andnon-oscillation of solutions of third-order li near differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of non-oscillatorysolutions of homogeneous third-order linear differential equations with va riable coefficients are discussed in Ch. 2. The results are extended to third-order linear non-homogeneous equations in Ch. 3, while Ch. 4 explains theoscillation and non-oscillation results for homogeneous third-order nonlinear differential equations. Ch apter 5 deals with the z-type oscillation and non-oscillation of third-order nonlinear and non-homogeneous differential equations.Chapter 6 is devoted to the study of third-order delay differential equations. Chapter 7 explains the stability of solutions of third-order equations. Some knowledge of differential equations, analysis and algebra is desirable, but notessential, in order to study the topic
Contents:Preface
Chapter 1: Introduction
Chapter 2: Behaviour of Solutions of Linear Homogeneous Differential Equations of Third Order
Chapter 3: Oscillation of Solutions of Linear Nonhomogeneous Differential Equations of Third Order
Chapter 4: Oscillation and Nonoscillation of Homogeneous Third
order Nonlinear Differential Equations
Chapter 5: Oscillation and Nonoscillation of Nonlinear Nonhomogeneous Differential Equations of Third Order
Chapter 6: Oscillatory and Asymptotic Behavior of Solutions of Third Order Delay Differential Equations
Chapter 7: Stability of Third Order Diff
ISBN:9788132216148
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Global analysis (Mathematics) , Functional equations , Differential Equations
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Call number:SPRINGER-2014-9783662441404:ONLINE Show nearby items on shelf
Title:Theory and Applications of Difference Equations and Discrete Dynamical Systems [electronic resource] : ICDEA, Muscat, Oman, May 26 - 30, 2013
Author(s): Ziyad AlSharawi
Jim M Cushing
Saber Elaydi
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices inthe theory and appli cations of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular,mathematical biology, ecology, and epidemi ology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear differenceequations, chaos and wild chaos in Lorenz-type systems, advances in peri odic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of differenceequations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications.
Contents:Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu
Benford solutions of linear difference equations: Arno Berger and Gideon Eshun
Harvesting and dynamics in some one
dimensional population models: Eduardo Liz and Frank M. Hilker
Chaos and wild chaos in Lorenz
type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer
Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas
Advances in periodic difference equations with open problems: Ziyad A
ISBN:9783662441404
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v102
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differentiable dynamical systems , Genetics Mathematics
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Call number:SPRINGER-2014-9783662436967:ONLINE Show nearby items on shelf
Title:Semigroups, Boundary Value Problems and Markov Processes [electronic resource]
Author(s): Kazuaki Taira
Date:2014
Edition:2nd ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and ellipticboundary value probl ems. The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of ellipticboundary value problems provides a general clas s of Feller semigroups in functional analysis. As an application, the author constructs a general class of Markov processes in probability in which a Markovian particle moves both by jumpsand continuously in the state space until it 'dies' at the time whe n it reaches the set where the particle is definitely absorbed. Augmenting the 1st edition published in 2004, this edition includes four new chapters and eightre-worked and expanded chapters. It is amply illustrated and all chapters are rounded off with N otes and Comments where bibliographical references are primarily discussed. Thanks to the kind feedback from many readers, some errors inthe first edition have been corrected. In order to keep the book up-to-date, new references have been added to the bib liography. Researchers and graduate students interested in PDEs, functional analysis and probability will find thisvolume useful
Contents:1.Introduction and Main Results
Part I Elements of Analysis
2.Elements of Probability Theory
3.Elements of Functional Analysis
4.Theory of Semigroups
Part II Elements of Partial Differential Equations
5.Theory of Distributions
6.Sobolev and Besov Spaces
7.Theory of Pseudo
Differential Operators
8.Waldenfels Operators and Maximum Principles
Part III Markov Processes, Semigroups and Boundary Value problems
9.Markov Processes, Transition Functions and Feller Semigroups
10.Feller Semigroups and Elliptic Boundary Value Problems
11.Proof of Theorem 1.3
12.Ma
ISBN:9783662436967
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Functional analysis , Differential equations, partial , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783658058296:ONLINE Show nearby items on shelf
Title:Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection [electronic resource]
Author(s): Benedict Baur
Date:2014
Publisher:Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum
Size:1 online resource
Note:Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular. Topics covered are: Construction of Lp-strong Feller processes usingDirichlet form methods, regularity for solutions of elliptic boundary value problems, construction of elliptic diffusions with singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like finiteparticle systems with singular interaction. E mphasize is placed on the handling of singular drift coefficients, as well as on the discussion of pointwise and pathwise properties of the constructed processes rather than just thequasi-everywhere properties commonly known from the general Dirichlet for m theory. Contents Construction of Lp-Strong Feller Processes Elliptic Boundary Value Problems Skorokhod Decomposition for Reflected Diffusions with SingularDrift Particle Systems with singular interaction Target Groups Graduate and PhD students, research ers of Mathematics in the field (Functional) Analysis, Stochastics, Partial Differential Equations and Mathematical Physics The AuthorBenedict Baur has done his doctors degree at the University of Kaiserslautern in topics on Stochastics and Functional Ana lysis.
Contents:Introduction
Construction of Lp
Strong Feller Processes
Elliptic Regularity up to the Boundary
Construction of Elliptic Diffusions
Applications
Construction of the Local Time and Skorokhod Decomposition
Appendix
ISBN:9783658058296
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642545931:ONLINE Show nearby items on shelf
Title:Neural Fields [electronic resource] : Theory and Applications
Author(s): Stephen Coombes
Peter beim Graben
Roland Potthast
James Wright
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:With this book, the editors present the first comprehensive collection in neural field studies, authored by leading scientists in the field - among them are two of the founding-fathers of neural field theory. Up to now, researchresults in the field h ave been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. Starting with a tutorial for novices in neural field studies, thebook comprises chapters on emergent pattern s, their phase transitions and evolution, on stochastic approaches, cortical development, cognition, robotics and computation, large-scale numerical simulations, the coupling of neural fieldsto the electroencephalogram and phase transitions in anesthesia. The intended readership are students and scientists in applied mathematics, theoretical physics, theoretical biology, and computational neuroscience. Neural field theoryand its applications have a long-standing tradition in the mathematical and computati onal neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan,Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Bressloff, Haken, and Wright. Since then, much progress has been made in both, the development of mathematical andnumerical techniques, and in physiological refinement and understanding. In contrast to large-scale neural network models desc ribed by huge connectivity matrices that are computationally expensive in numerical simulations, neural fieldmodels described by connectivity kernels allow for analytical treatment by means of functional analysis methods. Thus, a number of rigorous result s on the existence of bump and wave solutions or on inverse kernel construction problemsare nowadays available. Moreover, neural fields provide an important interface for the coupling of continuous neur
Contents:Preface
1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast
Part I Theory of Neural Fields
2.A Personal Account of the Development of the Field Theory of Large
Scale Brain Activity from 1945 Onward. J. Cowan
3.HeavisideWorld: Excitation and Self
Organization of Neural Fields. Shun
ichi Amari
4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Ermentrout, S.E. Folias and Z.P. Kilpatrick
5.PDE Methods for Two
Dimensional Neural Fields. C.R. Laing
6.Numerical Simulation Scheme of One
and Two Dimensional Neural Fields Inv
ISBN:9783642545931
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Integral equations , Consciousness
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Call number:SPRINGER-2014-9783642414251:ONLINE Show nearby items on shelf
Title:Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions [electronic resource]
Author(s): Tatsien Li
Yongji Tan
Zhijie Cai
Wei Chen
Jingnong Wang
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Spontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This monograph is the first of its kind on the mathematical model of spontaneous potentialwell-logging and its numerical s olutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously increases the difficulty of proving the well-posednessand proposing numerical solution schemes. In this book , in the axi-symmetric situation the well-posedness of the corresponding mathematical model is proved and three efficient schemes of numerical solution are proposed, supported by anumber of numerical examples to meet practical computation needs
Contents:Preface
Modeling
Properties of solutions
Limiting behavior
Techniques of solution
Numerical simulation
Bibliography
ISBN:9783642414251
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Physical geography , Functional analysis , Differential equations, partial , Numerical analysis
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Call number:SPRINGER-2014-9783319082516:ONLINE Show nearby items on shelf
Title:Recent Advances in Delay Differential and Difference Equations [electronic resource]
Author(s): Ferenc Hartung
Mihly Pituk
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering, and control theory. In this volume, the participants of the International Conference on Delay Differential andDifference Equations and Applications, Balatonfred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic, and oscillatory properties of the solutions
Contents:On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity
Comparison Theorems for Second Order Functional Differential Equations
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems using Transformations
Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type
Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
Stability Criteria for Delay Differential Equations
Anal
ISBN:9783319082516
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v94
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differentiable dynamical systems
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Call number:SPRINGER-2014-9783319064475:ONLINE Show nearby items on shelf
Title:Regularity of Difference Equations on Banach Spaces [electronic resource]
Author(s): Ravi P Agarwal
Claudio Cuevas
Carlos Lizama
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal regularity, outlining basic linear difference equations along with relevantresults. They address recent advances in the field, as well as basic semigroup and cosine operator theories in the discrete setting. The authors also identify some open problems that readers may wish to take up for further research.This book is intended for graduate students and res earchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis
Contents:1.Discrete Semi groups and Cosine Operators
2. Maximal regularity and the method of Fourier Multipliers
3. First Order Linear Difference Equations
4. First Order Semi linear Difference Equations
5. Second Order Linear Difference Equations
6. Second Order Semi linear
7. Applications
ISBN:9783319064475
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations
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Call number:SPRINGER-2014-9783319061542:ONLINE Show nearby items on shelf
Title:Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems [electronic resource]
Author(s): Evgeny Barkhudarov
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input intoparticle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of thecut-offs. The RG calculation reproduced established resu lts, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length. The main part of the thesis is the application of the dynamic RG toturbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugatesand functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic exp ansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories.Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD
Contents:Part I Renormalization Group
Historical Overview
Wilson
Kadanoff Renormalization Group
Part II Equilibrium Statistical Mechanics
Coulomb Gas
D
dimensional Coulomb Gas
Renormalization Group Analysis
Part III Non
equilibrium Statistical Mechanics
Randomly Stirred Magnetohydrodynamics
Turbulent Flows
Recursion Relations and Fixed Point Analysis
ISBN:9783319061542
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Quantum theory
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Call number:SPRINGER-2014-9783319060743:ONLINE Show nearby items on shelf
Title:Functional Analysis and Applied Optimization in Banach Spaces [electronic resource] : Applications to Non-Convex Variational Models
Author(s): Fabio Botelho
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physicsand engineering probl ems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation.Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dualapproach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in relatedfields
Contents:1. Topological Vector Spaces
2. The Hahn
Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
4.Basic Results on Measure and Integration
5. The Lebesgue Measure in Rn
6. Other Topics in Measure and Integration
7. Distributions
8. The Lebesque and Sobolev Spaces
9. Basic Concepts on the Calculus of Variations
10. Basic Concepts on Convex Analysis
11. Constrained Variational Analysis
12. Duality Applied to Elasticity
13. Duality Applied to a Plate Model
14. About Ginzburg
Landau Type Equations: The Simpler Real Case
15. Full Complex Ginzb
ISBN:9783319060743
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Functional analysis , Numerical analysis
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Call number:SPRINGER-2014-9783319045641:ONLINE Show nearby items on shelf
Title:Towards the Mathematics of Quantum Field Theory [electronic resource]
Author(s): Frdric Paugam
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of themathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primarytarget. This reference work provides a coheren t and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The firstpart of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory ofnon-linear partial differential equations, with applications to general gauge theories. The s econd part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the thirdpart provides an introduction to quantum field theory, presents various renormalization methods, and discusses the q uantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particulargraduate students) who would like to learn about the mathematics of quantum field theory
Contents:Introduction
Mathematical Preliminaries
Classical Trajectories and Fields
Quantum Trajectories and Fields
Appendices
ISBN:9783319045641
Series:eBooks
Series:SpringerLink
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v59
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Algebraic topology
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Call number:SPRINGER-2014-9783319035635:ONLINE Show nearby items on shelf
Title:Mathematical and Numerical Methods for Partial Differential Equations [electronic resource] : Applications for Engineering Sciences
Author(s): Jol Chaskalovic
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approachfirst summarizes and o utlines the finite-element mathematics in general and then, in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverseexercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing thematerial, as in most standard textbooks. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic
Contents:From the Contents: Introduction to functional analytical methods of partial differential equations
The finite element method
Variational Formulations of elliptic boundary problems
Finite Elements and differential Introduction to functional analytical methods of partial differential equations
The finite element method
Variational Formulations of elliptic boundary problems
ISBN:9783319035635
Series:eBooks
Series:SpringerLink
Series:Mathematical Engineering, 2192-4732
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Numerical analysis , Engineering mathematics , Materials
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Call number:SPRINGER-2014-9783319035512:ONLINE Show nearby items on shelf
Title:Soft Solids [electronic resource] : A Primer to the Theoretical Mechanics of Materials
Author(s): Alan D Freed
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors andmasters-level graduate stude nts in engineering, physics, or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics, and other fields where the mechanical response of soft solids isrelevant. Soft Solids: A Primer to the Theoretica l Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of softsolids. Part II presents two distinct theories of elasticity and their asso ciated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterizematerials. These problems are discussed at the end of each chapter, giving students the opportu nity to apply what they learned in the current chapter and to build upon the material in prior chapters
Contents:Part I: Continuum Fields
1Kinematics
2Deformation
3Strain
4Stress
Part II: Constitutive Equations
5Explicit Elasticity
6Implicit Elasticity
7Viscoelasticity
Appendices
ALinear Algebra
BCovariant and Contravariant Issues: Configuration Physics
CKronecker Products
DGeneral Linear ODE Solver
E Solver for Convolution Integrals
F Solver for the Mittag
Leer Function
Bibliography
Index
ISBN:9783319035512
Series:eBooks
Series:SpringerLink
Series:Modeling and Simulation in Science, Engineering and Technology, 2164-3679
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Biomaterials
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Call number:SPRINGER-2014-9783319031736:ONLINE Show nearby items on shelf
Title:Lectures on Mappings of Finite Distortion [electronic resource]
Author(s): Stanislav Hencl
Pekka Koskela
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuityproperties, behavior of ou r mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects
Contents:Introduction
Continuity
Openness and discreteness
Images and preimages of null sets
Homeomorphisms of finite distortion
Integrability of Jf and 1/Jf
Final comments
Appendix
References
ISBN:9783319031736
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2096
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Functions of complex variables , Differential equations, partial
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Call number:SPRINGER-2014-9783319022918:ONLINE Show nearby items on shelf
Title:Discrete Dynamical Models [electronic resource]
Author(s): Ernesto Salinelli
Franco Tomarelli
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several disciplineas Mathematical Analysi s, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study of linear and non-linear scalar dynamical systems arepresented, paying particular attention to the stabil ity analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented. A whole chapter is devoted to thestudy of bifurcations and chaotic dynamics. One-step vector-valued dynamical systems are the subject of three chapters, where the reader can find the applications to positive systems, Markov chains, networks and search engines. Thebook is addressed mainly to students in Mathematics, Engineering, Physics, Chemistry, Biology and Eco nomics. The exposition is self-contained: some appendices present prerequisites, algorithms and suggestions for computer simulations.The analysis of several examples is enriched by the proposition of many related exercises of increasing difficulty in the last chapter the detailed solution is given for most of them
Contents:1 Recursive phenomena and difference equations
2 Linear difference equations
3 Discrete dynamical systems: one
step scalar equations
4 Complex behavior of nonlinear dynamical systems: bifurcations and chaos
5 Discrete dynamical systems: vector equations
6 Markov chains
7 Matrix
8 Solutions
ISBN:9783319022918
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v76
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functional equations , Differentiable dynamical systems
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Call number:SPRINGER-2014-9783319019826:ONLINE Show nearby items on shelf
Title:Local Minimization, Variational Evolution and -Convergence [electronic resource]
Author(s): Andrea Braides
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution,gradient flows and s table points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energiescompatible with stable points, the comput ation of homogenized motions at critical time-scales through the definition of minimizing movement along a sequence of energies, the use of scaled energies to study long-term behavior orbackward motion for variational evolutions. The notions explored in t he book are linked to existing findings for gradient flows, energetic solutions and local minimizers, for which some generalizations are also proposed
Contents:Introduction
Global minimization
Parameterized motion driven by global minimization
Local minimization as a selection criterion
Convergence of local minimizers
Small
scale stability
Minimizing movements
Minimizing movements along a sequence of functionals
Geometric minimizing movements
Different time scales
Stability theorems
Index
ISBN:9783319019826
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2094
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Mathematical optimization
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Call number:SPRINGER-2014-9783319018065:ONLINE Show nearby items on shelf
Title:Harmonic and Complex Analysis and its Applications [electronic resource]
Author(s): Alexander Vasil'ev
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This volume highlights the main results of the research performed within the network Harmonic and Complex Analysis and its Applications (HCAA), which was a five-year (20072012) European Science Foundation Programmeintended to explore and to strengthe n the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. Itcoordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings,potential theory, Banach spaces of analytic functions and their applications to the problem s of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveyswritten as a result of activities of the Programme and will be interesting and useful for professionals and novi ces in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader willundoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme
Contents:L.D. Abreu, H.G. Feichtinger: Function spaces of polyanalytic functions
F. Bracci, M.D. Contreras, S. Daz
Madrigal,A. Vasil'ev: Classical and stochastic Lwner
Kufarev equations
M. Elin, F. Jacobzon, M. Levenshtein, D. Shoikhet: The Schwarz Lemma. Rigidity and Dynamics
H.G. Feichtinger, M. Pap: Coorbit theory and Bergman spaces
S.J. Gardiner, T. Sjdin: Quadrature domains and their two
phase counterparts
B. Gustafsson: Exponential transforms, resultants and moments
M. Schlichenmaier: From the Virasoro Algebra to KricheverNovikov Type Algebras and Beyond
ISBN:9783319018065
Series:eBooks
Series:SpringerLink
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Functional analysis , Functions of complex variables , Potential theory (Mathematics)
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Call number:SPRINGER-2014-9783319002279:ONLINE Show nearby items on shelf
Title:Analysis and Geometry of Markov Diffusion Operators [electronic resource]
Author(s): Dominique Bakry
Ivan Gentil
Michel Ledoux
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence toequilibrium, spectral bound s, functional inequalities such as Poincar, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution andpartial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results andtechniques from the early developments in the mid-eighties to the latest achie vements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analyticfunctional inequalities, probabilistic convergence to equilibrium and geometric curvature will find i t especially useful. Selected chapters can also be used for advanced courses on the topic
Contents:Introduction
Part I Markov semigroups, basics and examples: 1.Markov semigroups
2.Model examples
3.General setting
Part II Three model functional inequalities: 4.Poincar inequalities
5.Logarithmic Sobolev inequalities
6.Sobolev inequalities
Part III Related functional, isoperimetric and transportation inequalities: 7.Generalized functional inequalities
8.Capacity and isoperimetry
type inequalities
9.Optimal transportation and functional inequalities
Part IV Appendices: A.Semigroups of bounded operators on a Banach space
B.Elements of stochastic calculus
C
ISBN:9783319002279
Series:eBooks
Series:SpringerLink
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v348
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Global differential geometry , Distribution (Probability theory)
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