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SPIRES-BOOKS: FIND KEYWORD CALCULUS OF VARIATIONS AND OPTIMAL CONTROL OPTIMIZATION *END*INIT* use /tmp/qspiwww.webspi1/8277.169 QRY 131.225.70.96 . find keyword calculus of variations and optimal control optimization ( in books using www Cover
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Call number:9783319465746:ONLINE Show nearby items on shelf
Title:Optimal Trajectory Tracking of Nonlinear Dynamical Systems
Author(s): Jakob Löber
Date:2017
Size:1 online resource (XIV, 243 p. 36 illus., 32 illus. in color p.)
Contents:Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diffusion System
ISBN:9783319465746
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Dynamics , Ergodic theory , Calculus of variations , Vibration , Dynamical systems , Physics , Applications of Nonlinear Dynamics and Chaos Theory , Calculus of Variations and Optimal Control Optimization , Vibration, Dynamical Systems, Control , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319389905:ONLINE Show nearby items on shelf
Title:Fundamentals and Advanced Techniques in Derivatives Hedging
Author(s): Bruno Bouchard
Date:2016
Size:1 online resource (280 p.)
Note:10.1007/978-3-319-38990-5
Contents:Part A. Fundamental theorems -- Discrete time models -- Continuous time models -- Optimal management and price selection -- Part B. Markovian models and PDE approach -- Delta hedging in complete market -- Super-replication and its practical limits -- Hedging under loss contraints -- Part C. Practical implementation in local and stochastic volatility models -- Local volatility models -- Stochastic volatility models -- References
ISBN:9783319389905
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Partial differential equations , Economics, Mathematical , Calculus of variations , Probabilities , Mathematics , Quantitative Finance , Probability Theory and Stochastic Processes , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2016-9783319389455:ONLINE Show nearby items on shelf
Title:The Early Period of the Calculus of Variations
Author(s): Paolo Freguglia
Date:2016
Size:1 online resource (293 p.)
Note:10.1007/978-3-319-38945-5
Contents:Preface -- Some Introductory Material -- The Brachystochrone Problem: Johann and Jakob Bernoulli -- Isoperimetrical Problems: Jakob and Johann Bernoulli -- Shortest Lines and Geodesics -- Euler's Memoirs of 1738 and 1741 -- Euler's Method us Inveni endi -- Lagrange's δ-Calculus -- Bibliography -- Index of Names -- Subject Index
ISBN:9783319389455
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Calculus of variations , Mathematics , History of Mathematical Sciences , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2016-9783319332550:ONLINE Show nearby items on shelf
Title:Approximate Solutions of Common Fixed-Point Problems
Author(s): Alexander J Zaslavski
Date:2016
Size:1 online resource (454 p.)
Note:10.1007/978-3-319-33255-0
Contents:1.Introduction -- 2. Dynamic string-averaging methods in Hilbert spaces -- 3. Iterative methods in metric spaces -- 4. Dynamic string-averaging methods in normed spaces -- 5. Dynamic string-maximum methods in metric spaces -- 6. Spaces with general ized distances -- 7. Abstract version of CARP algorithm -- 8. Proximal point algorithm -- 9. Dynamic string-averaging proximal point algorithm -- 10. Convex feasibility problems -- 11. Iterative subgradient projection algorithm -- 12. Dynamic string-avera ging subgradient projection algorithm.– References.– Index.
ISBN:9783319332550
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 112
Keywords: Mathematics , Operator theory , Numerical analysis , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Numerical Analysis , Operator Theory
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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-2016-9783319309217:ONLINE Show nearby items on shelf
Title:Numerical Optimization with Computational Errors
Author(s): Alexander J Zaslavski
Date:2016
Size:1 online resource (304 p.)
Note:10.1007/978-3-319-30921-7
Contents:1. Introduction -- 2. Subgradient Projection Algorithm -- 3. The Mirror Descent Algorithm -- 4. Gradient Algorithm with a Smooth Objective Function -- 5. An Extension of the Gradient Algorithm -- 6. Weiszfeld's Method -- 7. The Extragradient Method for Convex Optimization -- 8. A Projected Subgradient Method for Nonsmooth Problems -- 9. Proximal Point Method in Hilbert Spaces -- 10. Proximal Point Methods in Metric Spaces -- 11. Maximal Monotone Operators and the Proximal Point Algorithm -- 12. The Extragradient Method for Solving Variational Inequalities -- 13. A Common Solution of a Family of Variational Inequalities -- 14. Continuous Subgradient Method -- 15. Penalty Methods -- 16. Newton's method -- References -- Index.
ISBN:9783319309217
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 108
Keywords: Mathematics , Numerical analysis , Calculus of variations , Operations research , Management science , Mathematics , Calculus of Variations and Optimal Control Optimization , Numerical Analysis , Operations Research, Management Science
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Call number:SPRINGER-2016-9783319307855:ONLINE Show nearby items on shelf
Title:Advances in Mathematical Modeling, Optimization and Optimal Control
Author(s):
Date:2016
Size:1 online resource (15 p.)
Note:10.1007/978-3-319-30785-5
ISBN:9783319307855
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 109
Keywords: Mathematics , Image processing , Operator theory , Computer mathematics , Calculus of variations , Biomedical engineering , Mathematics , Calculus of Variations and Optimal Control Optimization , Biomedical Engineering , Image Processing and Computer Vision , Operator Theory , Computational Mathematics and Numerical Analysis
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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-2016-9783319275178:ONLINE Show nearby items on shelf
Title:Simulation-Driven Modeling and Optimization ASDOM, Reykjavik, August 2014
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (51 p.)
Note:10.1007/978-3-319-27517-8
Contents:Numerical Aspects of Model Order Reduction for Gas Transportation Networks (Grundel, S., Hornung, N. & Roggendorf, S.) -- Parameter Studies for Energy Networks with Examples from Gas Transport (Clees, T.) -- Fast Multi-Objective Aerodynamic Optimiza tion Using Space-Mapping-Corrected Multi-Fidelity Models and Kriging Interpolation (Leifsson, L. et al.) -- Assessment of Inverse and Direct Methods for Airfoil and Wing Design (Zhang, M. & Rizzi, A.W.) -- Performance Optimization of EBG-Based Common Mode Filters for Signal Integrity Applications (Orlandi, A. et al.) -- Unattended Design of Wide-Band Planar Filters using a Two-Step Aggressive Space Mapping (ASM) Optimization Algorithm (Boria, V. et al.) -- Two-Stage Gaussian Process Modeling of Microwave Structures for Design Optimization (Jacobs, J.P. & Koziel, S.) -- Efficient Reconfigurable Microstrip Patch Antenna Modeling Exploiting Knowledge Based Artificial Neural Networks (Simsek, M. & Aoad, A.) -- Expedited Simulation-Driven
Multi-Objective Design Optimization of Quasi-Isotropic Dielectric Resonator Antenna (Bekasiewicz, A. et al.) -- Optimal Design of Photonic Crystal Nanostructures (Hassan, A.-K., Rafat, N. & Mohamed, A.S.A.) -- Design Optimization of LNAs and Reflect array Antennas using the Full-Wave Simulation based Artificial Intelligence Models with the Novel Metaheuristic Algorithms (Güneş, F., Demirel, S. & Nesil, S.) -- Stochastic Decision-Making in Waste Management Using a Firefly Algorithm-Driven Simulation -Optimization Approach for Generating Alternatives (Yeomans, J.S., Imanirad, R. & Yang, X.-S.) -- Linear and Nonlinear System Identification using Evolutionary Optimisation (Worden, K. et al.) -- A Surrogate-Model-Assisted Evolutionary Algorithm for Compu tationally Expensive Design Optimization Problems with Inequality Constraints (Liu, B., Zhang, Q. & Gielen, G.) -- Sobol Indices for Dimension Adaptivity in Sparse Grids (Dwight, R.P., Desmedt, S.G.L., & Omrani, P.S.).
ISBN:9783319275178
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 153
Keywords: Mathematics , Computer mathematics , Mathematical models , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Mathematical Modeling and Industrial Mathematics , Computational Science and Engineering
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Call number:SPRINGER-2016-9783319274850:ONLINE Show nearby items on shelf
Title:Elliptic Regularity Theory A First Course
Author(s): Lisa Beck
Date:2016
Size:1 online resource (201 p.)
Note:10.1007/978-3-319-27485-0
Contents:Preliminaries -- Introduction to the Setting -- The Scalar Case -- Foundations for the Vectorial Case -- Partial Regularity Results for Quasilinear Systems
ISBN:9783319274850
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes of the Unione Matematica Italiana: 19
Keywords: Mathematics , Partial differential equations , Calculus of variations , Mathematics , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization
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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-2014-9783319080345:ONLINE Show nearby items on shelf
Title:Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The structure of approximate solutions of autonomous discrete-time optimal control problems and individual turnpike results for optimal control problems without convexity (concavity) assumptions are examined in this book. Inparticular, the book focus es on the properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals these results apply to the so-called turnpike property of the optimalcontrol problems. By encompassing the so-called tu rnpike property the approximate solutions of the problemsare determined primarily by the objective function and are fundamentally independent of the choice of interval and endpointconditions, except in regions close to the endpoints. This bookalso explore s the turnpike phenomenon for two large classes of autonomous optimal control problems. It is illustrated that the turnpike phenomenon is stable for anoptimal control problem if the corresponding infinite horizon optimal control problem possesses an asymp totic turnpike property. If an optimal control problem belonging to the first class possesses the turnpike property, then theturnpike is a singleton (unit set). The stability of the turnpike property under small perturbations of an objective function and of a constraint map is established. For the second class of problems where the turnpike phenomenon is notnecessarily a singleton the stability of the turnpike property under small perturbations of an objective function is established. Containing solutions of difficult problems in optimal controland presenting new approaches, techniquesand methods this book is of interest formathematiciansworking in optimal control and the calculus of variations.It also can be useful in preparation courses for graduate stu dents
Contents:1.Introduction
2. Optimal control problems with singleton
turnpikes
3. Optimal control problems with discounting
4. Optimal control problems with nonsingleton
turnpikes
References
ISBN:9783319080345
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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Call number:SPRINGER-2013-9783319012407:ONLINE Show nearby items on shelf
Title:Structure of Approximate Solutions of Optimal Control Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This titleexamines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of theinterval. The results i llustrated in this book look into the so-called turnpike property of optimal control problems. The author generalizes theresultsof the turnpike property by considering a class of optimal control problemswhich is identified with the corresponding complete metric space of objective functions.This establishes the turnpike property for any element in a set that is ina countable intersectionwhich is open everywhere dense sets in thespace of integrands meaning that the turnpike property holds for most optimal c ontrol problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this bookuseful and valuabledue to its presentation of solutions to a number of difficult problems in optimal controland presentation of new approaches, techniques and methods
Note:Springer eBooks
Contents:Preface
1.Introduction
2.Turnpike Properties of Optimal Control Problems
3.Infinite Horizon Problems
4.Linear Control Systems
References.
ISBN:9783319012407
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Mathematical optimization
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Call number:SPRINGER-2013-9781461473787:ONLINE Show nearby items on shelf
Title:Nonconvex Optimal Control and Variational Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Nonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimalcontrol and the calculu s of variations. This volume contains a number of results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variationalproblems, and turnpike properties of approximate solutions of variational problems. Chapter 1 contains an introduction as well as examples of select topics. Chapters 2-5 consider the well-posedness condition using fine tools of generaltopology and porosity. Chapters 6-8 are devoted to the nonoccurrence of the Lavrentiev phenomenon and contain original results. Chapter 9 focuses on infinite-dimensional linear control problems, and Chapter 10 deals with goodfunctions and explores new understandings on the questions of optimality and variational problems. Finally, Chapters 11-12 are centered around the turnpike property, a particular area of expertise for the author. This volume isintended for mathematicians, engineers, and scientists interested in the calculus of variations, optimal control, optimization , and applied functional analysis, as well as both undergraduate and graduate students specializing in thoseareas. The text devoted to Turnpike properties may be of particular interest to the economics community. Also by Alexander J. Zaslavski: Optimizati on on Metric and Normed Spaces, 2010 Structure of Solutions of Variational Problems, 2013 Turnpike Properties in the Calculus of Variations and Optimal Control, 2006
Note:Springer eBooks
Contents:Preface
1. Introduction
2. Well
posedness of Optimal Control Problems
3. Well
posedness and Porosity
4. Well
posedness of Nonconvex Variational Problems
5. Gerenic Well
posedness result
6. Nonoccurrence of the Lavrentiev Phenomenon for Variational Problems
7. Nonoccurrence of the Lavrentiev Phenomenon in Optimal Control
8. Generic Nonoccurrence of the Lavrentiev phenomenon
9. Infinite Dimensional Linear Control Problems
10. Uniform Boundedness of Approximate Solutions of Variational Problems
11. The Turnpike Property for Approximate Solutions
12. A Turnpike
ISBN:9781461473787
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v82
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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Call number:SPRINGER-2013-9781461463870:ONLINE Show nearby items on shelf
Title:Structure of Solutions of Variational Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Structure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. Results on propertiesof approximate solution s which are independent of the length of the interval, for all sufficiently large intervals are presented in a clear manner. Solutions, new approaches, techniques and methods to a number of difficult problems inthe calculus of variations are illustrated t hroughout this book. This book also contains significant results and information about the turnpike property of the variational problems.This well-known property is a general phenomenonwhich holds for large classes of variational problems. The author exam ines the following in relation to the turnpike property in individual (non-generic) turnpike results, sufficient and necessary conditions for the turnpikephenomenon as well as in the non-intersection property for extremals of variational problems. This bo ok appeals to mathematicians working in optimal control and the calculus as well as with graduate students
Note:Springer eBooks
Contents:Preface
1. Introduction
2. Nonautonomous problems
3.Autonomous problems
4.Convex Autonomous Problems
References
Index
ISBN:9781461463870
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer software , Global analysis (Mathematics) , Functional equations , Mathematical optimization
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Call number:SPRINGER-2013-9781447148203:ONLINE Show nearby items on shelf
Title:Functional Analysis, Calculus of Variations and Optimal Control [electronic resource]
Author(s): Francis Clarke
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such asnonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis andincludes many novel elements as well as the stan dard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. Theauthor provides a comprehensive course on these subjects, from their inc eption through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximumprinciple, which appear here for the first time in a textbook. Other major themes include existen ce and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscositysolutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They a lso touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering.Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or secon d-year graduate level, on functional analysis, on the calculus of variations and optimalcontrol, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its ad vanced results in the calculus of variations and optimal control,its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth a
Note:Springer eBooks
Contents:Normed Spaces
Convex sets and functions
Weak topologies
Convex analysis
Banach spaces
Lebesgue spaces
Hilbert spaces
Additional exercises for Part I
Optimization and multipliers
Generalized gradients
Proximal analysis
Invariance and monotonicity
Additional exercises for Part II
The classical theory
Nonsmooth extremals
Absolutely continuous solutions
The multiplier rule
Nonsmooth Lagrangians
Hamilton
Jacobi methods
Additional exercises for Part III
Multiple integrals
Necessary conditions
Existence and regularity
Inductive meth
ISBN:9781447148203
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v264
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Systems theory , Mathematical optimization
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Call number:SPRINGER-2012-9781461438342:ONLINE Show nearby items on shelf
Title:Geometric Optimal Control [electronic resource] : Theory, Methods and Examples
Author(s): Heinz Schttler
Urszula Ledzewicz
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of thetheory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structureof solutions for the underlying problem. The t ext includes a large number and variety of fully worked out examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapyapproaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The versatile text contains material on different levels ranging from the introductory and elementary to the advanced.Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the moreintroductory topics to those parts that are in a monograph style were advanced topics are presented. While the presentation is mathematically rigorous, it is carried out in a tutorial style that makes the text accessible to a wideaudience of researchers and students from various fields, including the mathematical sciences and engineering. Heinz Schttler is an Associate Professor at Washington University in St. Louis in the Department of Electrical andSystems Engineering, Urszula Ledzewicz is a Distinguished Research Professor at Southern Illinois University Edwardsville in the Department of Mathematics and Statistics
Note:Springer eBooks
Contents:The Calculus of Variations: A Historical Perspective
The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution
Reachable Sets of Linear Time
Invariant Systems: From Convex Sets to the Bang
Bang Theorem
The High
Order Maximum Principle: From Approximations of Reachable Sets to High
Order Necessary Conditions for Optimality
The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum
Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions
Control
Affine Systems in Low Dimensions
ISBN:9781461438342
Series:e-books
Series:SpringerLink (Online service)
Series:Interdisciplinary Applied Mathematics, 0939-6047 : v38
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Global differential geometry , Mathematical optimization , Engineering mathematics
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Call number:SPRINGER-2011-9783642110429:ONLINE Show nearby items on shelf
Title:Calculus of Variations, Classical and Modern [electronic resource]
Author(s): R Conti
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:A. Blaquire: Quelques aspects gomtriques des processus optimaux.- C. Castaing: Quelques problmes de mesurabilit lis la thorie des commandes.- L. Cesari: Existence theorems for Lagrange and Pontryagin problems ofthe calculus of variations and optimal control of more-dimensional extensions in Sobolev space.- H. Halkin: Optimal control as programming in infinite dimensional spaces.- C. Olech: The range of integrals of a certain classvector-valued functions.- E. Rothe: Weak topology and calculus of vari ations.- E.O. Roxin: Problems about the set of attainability
Note:Springer eBooks
Contents:A. Blaquire: Quelques aspects gomtriques des processus optimaux
C. Castaing: Quelques problmes de mesurabilit lis la thorie des commandes
L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more
dimensional extensions in Sobolev space
H. Halkin: Optimal control as programming in infinite dimensional spaces
C. Olech: The range of integrals of a certain class vector
valued functions
E. Rothe: Weak topology and calculus of variations
E.O. Roxin: Problems about the set of attainability
ISBN:9783642110429
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v39
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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Call number:SPRINGER-2010-9780817680862:ONLINE Show nearby items on shelf
Title:Optimal Control [electronic resource]
Author(s): Richard Vinter
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated withthe HamiltonJacobi equa tion. The book is largely self-contained and incorporates numerous simplifications and unifying features for the subjects key concepts and foundations. Features and Topics: * a comprehensive overview isprovided for specialists and nonspecialists * authori tative, coherent, and accessible coverage of the role of nonsmooth analysis in investigating minimizing curves for optimal control * chapter coverage of dynamic programming and theregularity of minimizers * explains the necessary conditions for nonconvex problems This book is an excellent presentation of the foundations and applications of nonsmooth optimal control for postgraduates, researchers, andprofessionals in systems, control, optimization, and applied mathematics. ----- Each chapter contains a wel l-written introduction and notes. They include the author's deep insights on the subject matter and provide historical commentsand guidance to related literature. This book may well become an important milestone in the literature of optimal control.Mathem atical Reviews This remarkable book presents Optimal Control seen as a natural development of Calculusof Variations so as to deal with the control of engineering devices. ... Thanks to a great effort to be self-contained, it renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers andprofessionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis). Automatica Thebook may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicia
Note:Springer eBooks
Contents:Overview
Measurable Multifunctions and Differential Inclusions
Variational Principles
Nonsmooth Analysis
Subdifferential Calculus
The Maximum Principle
The Extended EulerLagrange and Hamilton Conditions
Necessary Conditions for Free End
Time Problems
The Maximum Principle for State Constrained Problems
Necessary Conditions for Differential Inclusion Problems with State Constraints
Regularity of Minimizers
Dynamic Programming
ISBN:9780817680862
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory
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Call number:SPRINGER-2007-9783540493792:ONLINE Show nearby items on shelf
Title:Introduction to the Theory of Nonlinear Optimization [electronic resource]
Author(s): Johannes Jahn
Date:2007
Edition:Third Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are existence results, various differentiability notions together with optimality conditions, the contingent cone, ageneralization of the Lagrange m ultiplier rule, duality theory, extended semidefinite optimization, and the investigation of linear quadratic and time minimal control problems. This textbook presents fundamentals with particularemphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis
Note:Springer eBooks
Contents:Introduction and Problem Formulation
Existence Theorems for Minimal Points
Generalized Derivatives
Tangent Cones
Generalized Lagrange Multiplier Rule
Duality
Application to Extended Semidefinite Optimization
Direct Treatment of Special Optimization Problems
Weak Convergence
Reflexivity of Banach Spaces
Hahn
Banach Theorem
Partially Ordered Linear Spaces
ISBN:9783540493792
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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Call number:SPRINGER-2006-9780387281544:ONLINE Show nearby items on shelf
Title:Turnpike Properties in the Calculus of Variations and Optimal Control [electronic resource]
Author(s): Alexander J Zaslavski
Date:2006
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimaltrajectories of mode ls of economic dynamics determined by convex processes. In this monograph the author, a leading expert in modern turnpike theory, presents a number of results concerning the turnpike properties in the calculus ofvariations and optimal control which were o btained in the last ten years. These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems.The book should help to correct the misapprehension that turnpike properties are only special features of some narrow classes of convex problems of mathematical economics. Audience This book is intended for mathematicians interested inoptimal control, calculus of variations, game theory and mathematical economics
Note:Springer eBooks
Contents:Preface
Introduction
Infinite Horizon Variational Problems
Extremals of Nonautonomous Problems
Extremals of Autonomous Problems
Infinite Horizon Autonomous Problems
Turnpike for Autonomous Problems
Linear Periodic Control Systems
Linear Systems with Nonperiodic Integrands
Discrete
Time Control Systems
Control Problems in Hilbert Spaces
A Class of Differential Inclusions
Convex Processes
A Dynamic Zero
Sum Game
Comments
References
Index
ISBN:9780387281544
Series:e-books
Series:SpringerLink (Online service)
Series:Nonconvex Optimization and Its Applications, 1571-568X : v80
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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Call number:SPRINGER-2005-9780817644031:ONLINE Show nearby items on shelf
Title:Variational Methods in Shape Optimization Problems [electronic resource]
Author(s): Dorin Bucur
Giuseppe Buttazzo
Date:2005
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives andtarget a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems. Key topics and features: * Presents foundationalintroduction to shape optimization theory * Studies ce rtain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains * Treatsoptimal control problems under a general scheme, giving a topological frame work, a survey of gamma-convergence, and problems governed by ODE * Examines shape optimization problems with Dirichlet and Neumann conditions on the freeboundary, along with the existence of classical solutions * Studies optimization problems for obstacl es and eigenvalues of elliptic operators * Poses several open problems for further research * Substantial bibliography and indexDriven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential e quations, and functional analysis, the book can serve as a text for a graduate course in computationalmethods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problem s
Note:Springer eBooks
Contents:Preface
Introduction to Shape Optimization Theory and Some Classical Problems
Optimization Problems Over Classes of Convex Domains
Optimal Control Problems: A General Scheme
Shape Optimization Problems with Dirichlet Condition on the Free Boundary
Existence of Classical Solutions
Optimization Problems for Functions of Eigenvalues
Shape Optimization Problems with Neumann Condition on the Free Boundary
Bibliography
Index
ISBN:9780817644031
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Nonlinear Differential Equations and Their Applications : v65
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Functional analysis , Differential equations, partial , Mathematical optimization
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Call number:SPRINGER-2005-9780387280202:ONLINE Show nearby items on shelf
Title:Constrained Optimization and Image Space Analysis [electronic resource] : Volume 1: Separation of Sets and Optimality Conditions
Author(s): Franco Giannessi
Date:2005
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other researchersin a wealth of papers . Constrained Optimization and Image Space Analysis unites his results and presents optimization theory and variational inequalities in their light. It presents a new approach to the theory of constrained extremumproblems, including Mathematical Programmi ng, Calculus of Variations and Optimal Control Problems. Such an approach unifies the several branches: Optimality Conditions, Duality, Penalizations, Vector Problems, Variational Inequalitiesand Complementarity Problems. The applications benefit from a u nified theory
Note:Springer eBooks
Contents:Elements of Convex Analysis and Separation
to Image Space Analysis
Alternative and Separation
Optimality Conditions. Preliminary Results
ISBN:9780387280202
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematical Concepts and Methods in Science and Engineering : v49
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Combinatorics , Mathematical optimization , Mechanical engineering
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Call number:SPRINGER-2004-9783662062012:ONLINE Show nearby items on shelf
Title:Calculus of Variations II
Author(s): Mariano Giaquinta
Date:2004
Size:1 online resource (655 p.)
Note:10.1007/978-3-662-06201-2
Contents:CALCULUS OF VARIATIONS I - The Lagrangian Formalism: Part I: The First Variation and Necessary Conditions: The First Variation Variational Problems with Subsidiary Conditions General Variational Formulas -- Part II: The Second
Variation and Sufficient Conditions Second Variation, Excess Function, Convexity Weak Minimizers and Jacobi Theory Weierstrass Field Theory for One-dimensional Integrals and Strong Minimizers. CALCULUS OF VARIATIONS II - The
Hamiltonian Formalism: Part III: Canonical Formalism and Hamilton-Jacobi Theory Legendre Transformation, Hamiltonian Systems, Convexity, Field Theories Parametric Variational Integrals -- Part IV: Hamilton-Jacobi Theory and Canonical
Transformations: Hamilton-Jacobi Theory and Canonical Transformations Partial Differential Equations of First Order and Contact Transformations
ISBN:9783662062012
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 311
Keywords: Mathematics , Differential geometry , Calculus of variations , Physics , Mathematics , Calculus of Variations and Optimal Control Optimization , Differential Geometry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2004-9783662032787:ONLINE Show nearby items on shelf
Title:Calculus of Variations I
Author(s): Mariano Giaquinta
Date:2004
Size:1 online resource (474 p.)
Note:10.1007/978-3-662-03278-7
Contents:of Calculus of Variations I -- 1. The First Variation -- 2. Variational Problems with Subsidiary Conditions -- 3. General Variational Formulas -- 4. Second Variation, Excess Function, Convexity -- 5. Weak Minimizers and Jacobi Theory
-- 6. Weierstrass Field Theory for One-Dimensional Integrals and Strong Minimizers -- Supplement. Some Facts from Differential Geometry and Analysis -- 1. Euclidean Spaces -- 2. Some Function Classes -- 3. Vector and Covector Fields.
Transformation Rules -- 4. Differential Forms -- 6. Mean Curvature and Gauss Curvature
ISBN:9783662032787
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 310
Keywords: Mathematics , Differential geometry , Calculus of variations , Physics , Mathematics , Calculus of Variations and Optimal Control Optimization , Differential Geometry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2004-9783642558849:ONLINE Show nearby items on shelf
Title:Dynamic Stochastic Optimization
Author(s):
Date:2004
Size:1 online resource (336 p.)
Note:10.1007/978-3-642-55884-9
Contents:I. Dynamic Decision Problems under Uncertainty: Modeling Aspects -- Reflections on Output Analysis for Multistage Stochastic Linear Programs -- Modeling Support for Multistage Recourse Problems -- Optimal Solutions for Undiscounted
Variance Penalized Markov Decision Chains -- Approximation and Optimization for Stochastic Networks -- II. Dynamic Stochastic Optimization in Finance -- Optimal Stopping Problem and Investment Models -- Estimating LIBOR/Swaps
Spot-Volatilities: the EpiVolatility Model -- Structured Products for Pension Funds -- III. Optimal Control Under Stochastic Uncertainty -- Real-time Robust Optimal Trajectory Planning of Industrial Robots -- Adaptive Optimal
Stochastic Trajectory Planning and Control (AOSTPC) for Robots -- IV. Tools for Dynamic Stochastic Optimization -- Solving Stochastic Programming Problems by Successive Regression Approximations — Numerical Results -- Stochastic
Optimization of Risk Functions via Parametric Smoothing -- Optimization under Uncertainty using Momentum -- Perturbation Analysis of Chance-constrained Programs under Variation of all Constraint Data -- The Value of Perfect Information
as a Risk Measure -- New Bounds and Approximations for the Probability Distribution of the Length of the Critical Path -- Simplification of Recourse Models by Modification of Recourse Data
ISBN:9783642558849
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Economics and Mathematical Systems: 532
Keywords: Mathematics , Operations research , Decision making , System theory , Calculus of variations , Mathematics , Systems Theory, Control , Operation Research/Decision Theory , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2004-9783540446538:ONLINE Show nearby items on shelf
Title:Functional Analytic Methods for Evolution Equations
Author(s): Giuseppe Da Prato
Date:2004
Size:1 online resource (474 p.)
Note:10.1007/b100449
Contents:Preface -- Giuseppe Da Prato: An Introduction to Markov Semigroups -- Peer C. Kunstmann and Lutz Weis: Maximal$L_p§-regularity for Parabolic Equations, Fourier Multiplier Theorems and $H^\infty $-functional Calculus -- Irena Lasiecka:
Optimal Control Problems and Riccati Equations for Systems with Unbounded Controls and Partially Analytic Generators-Applications to Boundary and Point Control Problems -- Alessandra Lunardi: An Introduction to Parabolic Moving
Boundary Problems -- Roland Schnaubelt: Asymptotic Behaviour of Parabolic Nonautonomous Evolution Equations
ISBN:9783540446538
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1855
Keywords: Mathematics , Fourier analysis , Operator theory , Differential equations , Partial differential equations , Calculus of variations , Probabilities , Mathematics , Ordinary Differential Equations , Partial Differential Equations , Fourier Analysis , Operator Theory , Calculus of Variations and Optimal Control Optimization , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2004-9783540409151:ONLINE Show nearby items on shelf
Title:Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Author(s): Wolfgang Reichel
Date:2004
Size:1 online resource (158 p.)
Note:10.1007/b96984
Contents:Introduction -- Uniqueness of Critical Points (I) -- Uniqueness of Citical Pints (II) -- Variational Problems on Riemannian Manifolds -- Scalar Problems in Euclidean Space -- Vector Problems in Euclidean Space --
Fréchet-Differentiability -- Lipschitz-Properties of ge and omegae
ISBN:9783540409151
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1841
Keywords: Mathematics , Partial differential equations , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Partial Differential Equations
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Call number:SPRINGER-2004-9783034879286:ONLINE Show nearby items on shelf
Title:Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
Author(s): Fuensanta Andreu-Vaillo
Date:2004
Size:1 online resource (342 p.)
Note:10.1007/978-3-0348-7928-6
Contents:1 Total Variation Based Image Restoration -- 1.1 Introduction -- 1.2 Equivalence between Constrained and Unconstrained Restoration -- 1.3 The Partial Differential Equation Satisfied by the Minimum of (1.17) -- 1.4 Algorithm and
Numerical Experiments -- 1.5 Review of Numerical Methods -- 2 The Neumann Problem for the Total Variation Flow -- 2.1 Introduction -- 2.2 Strong Solutions in L2(?) -- 2.3 The Semigroup Solution in L1(?) -- 2.4 Existence and Uniqueness
of Weak Solutions -- 2.5 An LN-L? Regularizing Effect -- 2.6 Asymptotic Behaviour of Solutions -- 2.7 Regularity of the Level Lines -- 3 The Total Variation Flow in ?N -- 3.1 Initial Conditions in L2(?N) -- 3.2 The Notion of Entropy
Solution -- 3.3 Uniqueness in Ló(?N) -- 3.4 Existence in Lloc1 -- 3.5 Initial Conditions in L2(?N) -- 3.6 Time Regularity -- 3.7 An LN-L? Regularizing Effect -- 3.8 Measure Initial Conditions -- 4 Asymptotic Behaviour and Qualitative
Properties of Solutions -- 4.1 Radially Symmetric Explicit Solutions -- 4.2 Some Qualitative Properties -- 4.3 Asymptotic Behaviour -- 4.4 Evolution of Sets in ?2: The Connected Case -- 4.5 Evolution of Sets in ?2: The Nonconnected
Case -- 4.6 Some Examples -- 4.7 Explicit Solutions for the Denoising Problem -- 5 The Dirichlet Problem for the Total Variation Flow -- 5.1 Introduction -- 5.2 Definitions and Preliminary Facts -- 5.3 The Main Result -- 5.4 The
Semigroup Solution -- 5.5 Strong Solutions for Data in L2(?) -- 5.6 Existence and Uniqueness for Data in L1(?) -- 5.7 Regularity for Positive Initial Data -- 6 Parabolic Equations Minimizing Linear Growth Functionals: L2-Theory -- 6.1
Introduction -- 6.2 Preliminaries -- 6.3 The Existence and Uniqueness Result -- 6.4 Strong Solution for Data in L2(?)) -- 6.5 Asymptotic Behaviour -- 6.6 Proof of the Approximation Lemma -- 7 Parabolic Equations Minimizing Linear
Growth Functionals: L1-Theory -- 7.1 Introduction -- 7.2 The Main Result -- 7.3 The Semigroup Solution -- 7.4 Existence and Uniqueness for Data in L1(?) -- 7.5 A Remark for Strictly Convex Lagrangians -- 7.6 The Cauchy Problem -- A
Nonlinear Semigroups -- A.1 Introduction -- A.2 Abstract Cauchy Problem -- A.3 Mild Solutions -- A.4 Accretive Operators -- A.5 Existence and Uniqueness Theorem -- A.6 Regularity of Mild Solutions -- A.7 Completely Accretive Operators
-- B Functions of Bounded Variation -- B.2 Approximation by Smooth Functions -- B.3 Traces and Extensions -- B.4 Sets of Finite Perimeter and the Coarea Formula -- B.5 Some Isoperimetric Inequalities -- B.6 The Reduced Boundary -- B.7
Connected Components of Sets of Finite Perimeter -- C Pairings Between Measures and Bounded Functions -- C.1 Trace of the Normal Component of Certain Vector Fields -- Dankwoord/ Acknowledgements
ISBN:9783034879286
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 223
Keywords: Mathematics , Approximation theory , Functional analysis , Partial differential equations , Visualization , Calculus of variations , Mathematics , Partial Differential Equations , Approximations and Expansions , Functional Analysis , Visualization , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2004-9783034878913:ONLINE Show nearby items on shelf
Title:Fractal Geometry and Stochastics III
Author(s):
Date:2004
Size:1 online resource (262 p.)
Note:10.1007/978-3-0348-7891-3
Contents:1. Fractal Sets and Measures -- Markov Operators and Semifractals -- On Various Multifractal Spectra -- One-Dimensional Moran Sets and the Spectrum of Schrödinger Operators -- 2. Fractals and Dynamical Systems -- Small-scale Structure
via Flows -- Hausdorff Dimension of Hyperbolic Attractors in $$ {\mathbb{R}^3}$$ -- The Exponent of Convergence of Kleinian Groups on a Theorem of Bishop and Jones -- Lyapunov Exponents Are not Rigid with Respect to Arithmetic
Subsequences -- 3. Stochastic Processes and Random fractals -- Some Topics in the Theory of Multiplicative Chaos -- Intersection Exponents and the Multifractal Spectrum for Measures on Brownian Paths -- Additive Lévy Processes:
Capacity and Hausdorff Dimension -- 4. Fractal Analysis in Euclidean Space -- The Fractal Laplacian and Multifractal Quantities -- Geometric Representations of Currents and Distributions -- Variational Principles and Transmission
Conditions for Fractal Layers -- 5. Harmonic Analysis on Fractals -- Function Spaces and Stochastic Processes on Fractals -- A Dirichlet Form on the Sierpinski Gasket, Related Function Spaces, and Traces -- Spectral Zeta Function of
Symmetric Fractals
ISBN:9783034878913
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Probability : 57
Keywords: Mathematics , Dynamics , Ergodic theory , Measure theory , Geometry , Calculus of variations , Probabilities , Physics , Mathematics , Geometry , Probability Theory and Stochastic Processes , Dynamical Systems and Ergodic Theory , Measure and Integration , Calculus of Variations and Optimal Control Optimization , Mathematical Methods in Physics
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Call number:SPRINGER-2004-9783034878852:ONLINE Show nearby items on shelf
Title:Domain Decomposition Methods in Optimal Control of Partial Differential Equations
Author(s): John E Lagnese
Date:2004
Size:1 online resource (443 p.)
Note:10.1007/978-3-0348-7885-2
Contents:1 Introduction -- 2 Background Material on Domain Decomposition -- 2.1 Introduction -- 2.2 Domain Decomposition for 1-d Problems -- 2.3 Domain Decomposition Methods for Elliptic Problems -- 3 Partial Differential Equations on Graphs
-- 3.1 Introduction -- 3.2 Partial Differential Operators on Graphs -- 3.3 Elliptic Problems on Graphs -- 3.4 Hyperbolic Problems on Graphs -- 4 Optimal Control of Elliptic Problems -- 4.1 Introduction -- 4.2 Distributed Controls --
4.3 Boundary Controls -- 5 Control of Partial Differential Equations on Graphs -- 5.1 Introduction -- 5.2 Elliptic Problems -- 5.3 Hyperbolic Problems -- 6 Control of Dissipative Wave Equations -- 6.1 Introduction -- 6.2 Optimal
Dissipative Boundary Control -- 6.3 Time Domain Decomposition -- 6.4 Decomposition of the Spatial Domain -- 6.5 Space and Time Domain Decomposition -- 7 Boundary Control of Maxwell’s System -- 7.1 Introduction -- 7.2 Optimal
Dissipative Boundary Control -- 7.3 Time Domain Decomposition -- 7.4 Decomposition of the Spatial Domain -- 7.5 Time and Space Domain Decomposition -- 8 Control of Conservative Wave Equations -- 8.1 Introduction -- 8.2 Optimal Boundary
Control -- 8.3 Time Domain Decomposition -- 8.4 Decomposition of the Spatial Domain -- 8.5 The Exact Reachability Problem -- 9 Domain Decomposition for 2-D Networks -- 9.1 Elliptic Systems on 2-D Networks -- 9.2 Optimal Control on 2-D
Networks -- 9.3 Decomposition of the Spatial Domain
ISBN:9783034878852
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ISNM International Series of Numerical Mathematics : 148
Keywords: Mathematics , Calculus of variations , Engineering , Mathematics , Calculus of Variations and Optimal Control Optimization , Engineering, general
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Call number:SPRINGER-2004-9781461302193:ONLINE Show nearby items on shelf
Title:Recent Developments in Cooperative Control and Optimization
Author(s):
Date:2004
Size:1 online resource (458 p.)
Note:10.1007/978-1-4613-0219-3
Contents:1 A Hybrid Projected Gradient-Evolutionary Search Algorithm for Capacitated Multi-Source Multi-UAVs Scheduling with Time Windows -- 2 Progress in Cooperative Volume Holographic Imaging -- 3 Properties of No-Depot Min-?ax
2-Traveling-Salesmen Problem -- 4 A New Heuristic for the Minimum Connected Dominating Set Problem on Ad Hoc Wireless Networks -- 5 A Platform for Cooperative and Coordinated Control of Multiple Vehicles: The Caltech Multi-Vehicle
Wireless Testbed -- 6 Churning: Repeated Optimization and Cooperative Instability -- 7 A Hospitability Map Approach for Estimating a Mobile Targets Location -- 8 Information Theoretic Organization Principles for Autonomous
Multiple-Agents -- 9 Distributed Agreement Strategies for Cooperative Control: Modeling and Scalability Analysis -- 10 An Integer Programming Model for Assigning Unmanned Air Vehides to Tasks -- 11 A Theoretical Foundation for
Cooperative Search, Classification, and Target Attack -- 12 Cooperative Real-Time Task Allocation Among Groups of UAVs -- 13 Use of Conditional Value-at-Risk in Stochastic Programs with Poorly Defined Distributions -- 14 Sensitivity
Analysis of Partially Deployed Slowdown Warning Mechanisms for Vehicle Platoons -- 15 Multi-Target Assignment and Path Planning for Groups of UAVs -- 16 Objective Functions for Bayesian Control-Theoretic Sensor Management, II: MHC-Like
Approximation -- 17 Tracking Environmental Level Sets with Autonomous Vehicles -- 18 Cyclic Linearization and Decomposition of Team Game Models -- 19 Optimal Path Planning in a Threat Environment -- 20 Nonlinear Dynamics of Sea
Clutters and Detection of Small Targets -- 21 Tree-Based Algorithms for the Multidimensional Assignment Problem -- 22 Predicting Pop Up Threats From An Adaptive Markov Model
ISBN:9781461302193
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Cooperative Systems: 3
Keywords: Mathematics , Computers , System theory , Mathematical optimization , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Optimization , Systems Theory, Control , Theory of Computation
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Call number:SPRINGER-2004-9781441988515:ONLINE Show nearby items on shelf
Title:Interactive Decision Maps Approximation and Visualization of Pareto Frontier
Author(s): Alexander V Lotov
Date:2004
Size:1 online resource (310 p.)
Note:10.1007/978-1-4419-8851-5
ISBN:9781441988515
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 89
Keywords: Mathematics , Numerical analysis , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Environmental management , Mathematics , Optimization , Numeric Computing , Convex and Discrete Geometry , Environmental Management , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2004-9781402078811:ONLINE Show nearby items on shelf
Title:Duality System in Applied Mechanics and Optimal Control
Author(s): Wan-Xie Zhong
Date:2004
Size:1 online resource (456 p.)
Note:10.1007/b130344
Contents:to analytical dynamics -- Vibration Theory -- Probability and stochastic process -- Random vibration of structures -- Elastic system with single continuous coordinate -- Linear optimal control, theory and computation
ISBN:9781402078811
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Mechanics and Mathematics : 5
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Calculus of variations , Vibration , Dynamical systems , Dynamics , Mechanical engineering , Mathematics , Applications of Mathematics , Appl.Mathematics/Computational Methods of Engineering , Calculus of Variations and Optimal Control Optimization , Vibration, Dynamical Systems, Control , Mechanical Engineering
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Call number:SPRINGER-2004-9781402024993:ONLINE Show nearby items on shelf
Title:Fixed Point Theory for Decomposable Sets
Author(s): Andrzej Fryszkowski
Date:2004
Size:1 online resource (209 p.)
Note:10.1007/1-4020-2499-1
Contents:Preliminaries -- Real and vector measures -- Preliminary notions -- Upper and lower semicontinuous multifunctions -- Measurable multifunctions -- Carathéodory type multifunctions -- Fixed points property for convex-valued mappings --
Decomposable sets -- Selections -- Fixed points property -- Aumann integrals -- Selections of Aumann integrals -- Fixed points for multivalued contractions -- Operator and differential inclusions -- Decomposable analysis
ISBN:9781402024993
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Topological Fixed Point Theory and Its Applications : 2
Keywords: Mathematics , Functional analysis , Measure theory , Differential equations , Convex geometry , Discrete geometry , Calculus of variations , Mathematics , Functional Analysis , Convex and Discrete Geometry , Measure and Integration , Ordinary Differential Equations , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2004-9781402019647:ONLINE Show nearby items on shelf
Title:Young Measures on Topological Spaces With Applications in Control Theory and Probability Theory
Author(s): Charles Castaing
Date:2004
Size:1 online resource (320 p.)
Note:10.1007/1-4020-1964-5
Contents:Generalities, preliminary results -- Young measures, the four stable topologies: S, M, N, W -- Convergence in probability of Young measures (with some applications to stable convergence) -- Compactness -- Strong tightness -- Young
measures on Banach spaces. Applications -- Applications in Control Theory -- Semicontinuity of integral functionals using Young measures -- Stable convergence in limit theorems of probability theory
ISBN:9781402019647
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 571
Keywords: Mathematics , Functional analysis , Measure theory , Calculus of variations , Probabilities , Topology , Mathematics , Measure and Integration , Calculus of Variations and Optimal Control Optimization , Probability Theory and Stochastic Processes , Topology , Functional Analysis
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Call number:SPRINGER-2004-9780817644130:ONLINE Show nearby items on shelf
Title:Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control
Author(s): Piermarco Cannarsa
Date:2004
Size:1 online resource (304 p.)
Note:10.1007/b138356
Contents:A Model Problem -- Semiconcave Functions -- Generalized Gradients and Semiconcavity -- Singularities of Semiconcave Functions -- Hamilton-Jacobi Equations -- Calculus of Variations -- Optimal Control Problems -- Control Problems with
Exit Time
ISBN:9780817644130
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Nonlinear Differential Equations and Their Applications : 58
Keywords: Mathematics , Measure theory , Partial differential equations , Mathematical optimization , Mathematics , Partial Differential Equations , Measure and Integration , Optimization
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Call number:SPRINGER-2004-9780387217796:ONLINE Show nearby items on shelf
Title:An Invitation to 3-D Vision From Images to Geometric Models
Author(s): Yi Ma
Date:2004
Size:1 online resource (528 p.)
Note:10.1007/978-0-387-21779-6
Contents:1 Introduction -- 1.1 Visual perception from 2-D images to 3-D models -- 1.2 A mathematical approach -- 1.3 A historical perspective -- I Introductory Material -- 2 Representation of a Three-Dimensional Moving Scene -- 3 Image
Formation -- 4 Image Primitives and Correspondence -- II Geometry of Two Views -- 5 Reconstruction from Two Calibrated Views -- 6 Reconstruction from Two Uncalibrated Views -- 7 Estimation of Multiple Motions from Two Views -- III
Geometry of Multiple Views -- 8 Multiple-View Geometry of Points and Lines -- 9 Extension to General Incidence Relations -- 10 Geometry and Reconstruction from Symmetry -- IV Applications -- 11 Step-by-Step Building of a 3-D Model from
Images -- 12 Visual Feedback -- V Appendices -- A Basic Facts from Linear Algebra -- A.1 Basic notions associated with a linear space -- A.1.1 Linear independence and change of basis -- A.1.2 Inner product and orthogonality -- A.1.3
Kronecker product and stack of matrices -- A.2 Linear transformations and matrix groups -- A.3 Gram-Schmidt and the QR decomposition -- A.4 Range, null space (kernel), rank and eigenvectors of a matrix -- A.5 Symmetric matrices and
skew-symmetric matrices -- A.6 Lyapunov map and Lyapunov equation -- A.7 The singular value decomposition (SVD) -- A.7.1 Algebraic derivation -- A.7.2 Geometric interpretation -- A.7.3 Some properties of the SVD -- B Least-Variance
Estimation and Filtering -- B.1 Least-variance estimators of random vectors -- B.1.1 Projections onto the range of a random vector -- B.1.2 Solution for the linear (scalar) estimator -- B.1.3 Affine least-variance estimator -- B.1.4
Properties and interpretations of the least-variance estimator -- B.2 The Kalman-Bucy filter -- B.2.1 Linear Gaussian dynamical models -- B.2.2 A little intuition -- B.2.3 Observability -- B.2.4 Derivation of the Kalman filter -- B.3
The extended Kalman filter -- C Basic Facts from Nonlinear Optimization -- C.1 Unconstrained optimization: gradient-based methods -- C.1.1 Optimality conditions -- C.1.2 Algorithms -- C.2 Constrained optimization: Lagrange multiplier
method. -- C.2.1 Optimality conditions -- C.2.2 Algorithms -- References -- Glossary of Notation
ISBN:9780387217796
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Interdisciplinary Applied Mathematics: 26
Keywords: Computer science , Computers , Computer graphics , Applied mathematics , Engineering mathematics , Geometry , Calculus of variations , Control engineering , Robotics , Mechatronics , Computer Science , Theory of Computation , Calculus of Variations and Optimal Control Optimization , Geometry , Applications of Mathematics , Computer Imaging, Vision, Pattern Recognition and Graphics , Control, Robotics, Mechatronics
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Call number:SPRINGER-2004-9780387216973:ONLINE Show nearby items on shelf
Title:The Calculus of Variations
Author(s): Bruce van Brunt
Date:2004
Size:1 online resource (292 p.)
Note:10.1007/b97436
Contents:The First Variation -- Some Generalizations -- Isoperimetric Problems -- Applications to Eigenvalue Problems -- Holonomic and Nonholonomic Constraints -- Problems with Variable Endpoints -- The Hamiltonian Formulation -- Noether’s
Theorem -- The Second Variation
ISBN:9780387216973
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2003-9789401703833:ONLINE Show nearby items on shelf
Title:Semirings and Affine Equations over Them: Theory and Applications
Author(s): Jonathan S Golan
Date:2003
Size:1 online resource (241 p.)
Note:10.1007/978-94-017-0383-3
Contents:1: Semirings -- 2: Partially-Ordered Semirings -- 3: Complete Semirings -- 4: Residuated Semirings -- 5: Matrix Semirings -- 6: Symmetric Extension of a Semiring -- 7: Semimodules -- 8: Homomorphisms between Semimodules -- 9: Affine
Maps between Semimodules -- 10: Partially-ordered Semimodules -- 11: Eigenelements -- 12: Permanents and Determinants -- Index of Applications -- Index of Terminology
ISBN:9789401703833
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 556
Keywords: Mathematics , Computer science , Associative rings , Rings (Algebra) , Mathematical models , Mathematical logic , Calculus of variations , Mathematics , Associative Rings and Algebras , Discrete Mathematics in Computer Science , Mathematical Modeling and Industrial Mathematics , Calculus of Variations and Optimal Control Optimization , Mathematical Logic and Foundations
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Call number:SPRINGER-2003-9789401701419:ONLINE Show nearby items on shelf
Title:Functional Analysis
Author(s): Erdoğan S Şuhubi
Date:2003
Size:1 online resource (691 p.)
Note:10.1007/978-94-017-0141-9
Contents:I Preliminaries -- II Linear Vector Spaces -- III Introduction to Real Analysis -- IV Topological Spaces -- V Metric Spaces -- VI Normed Spaces -- VII Inner Product Spaces -- VIII Spectral Theory of Linear Operators -- IX
Differentiation of Operators -- References -- Index of Symbols -- Name Index
ISBN:9789401701419
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Calculus of variations , Mechanics , Continuum mechanics , Economic theory , Mathematics , Functional Analysis , Mechanics , Calculus of Variations and Optimal Control Optimization , Economic Theory/Quantitative Economics/Mathematical Methods , Continuum Mechanics and Mechanics of Materials
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Call number:SPRINGER-2003-9783662050781:ONLINE Show nearby items on shelf
Title:Numerical Optimization Theoretical and Practical Aspects
Author(s): J. Frédéric Bonnans
Date:2003
Size:1 online resource (423 p.)
Note:10.1007/978-3-662-05078-1
Contents:1 General Introduction -- 2 Basic Methods -- 3 Line-Searches -- 4 Newtonian Methods -- 5 Conjugate Gradient -- 6 Special Methods -- 7 Some Theory of Nonsmooth Optimization -- 8 Some Methods in Nonsmooth Optimization -- 9 Bundle
Methods. The Quest of Descent -- 10 Decomposition and Duality -- 11 Background -- 12 Local Methods for Problems with Equality Constraints -- 13 Local Methods for Problems with Equality and Inequality Constraints -- 14 Exact
Penalization -- 15 Globalization by Line-Search -- 16 Quasi-Newton Versions -- 17 Linearly Constrained Optimization and Simplex Algorithm -- 18 Linear Monotone Complementarity and Associated Vector Fields -- 19 Predictor-Corrector
Algorithms -- 20 Non-Feasible Algorithms -- 21 Self-Duality -- 22 One-Step Methods -- 23 Complexity of Linear Optimization Problems with Integer Data -- 24 Karmarkar’s Algorithm -- References
ISBN:9783662050781
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algorithms , Computer science , Numerical analysis , Mathematical optimization , Calculus of variations , Operations research , Management science , Mathematics , Optimization , Operations Research, Management Science , Calculus of Variations and Optimal Control Optimization , Numerical Analysis , Algorithm Analysis and Problem Complexity , Mathematics of Computing
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Call number:SPRINGER-2003-9783642143946:ONLINE Show nearby items on shelf
Title:Stochastic Differential Equations An Introduction with Applications
Author(s): Bernt Øksendal
Date:2003
Size:1 online resource (379 p.)
Note:10.1007/978-3-642-14394-6
Contents:Some Mathematical Preliminaries -- Itô Integrals -- The Itô Formula and the Martingale Representation Theorem -- Stochastic Differential Equations -- The Filtering Problem -- Diffusions: Basic Properties -- Other Topics in Diffusion
Theory -- Applications to Boundary Value Problems -- Application to Optimal Stopping -- Application to Stochastic Control -- Application to Mathematical Finance
ISBN:9783642143946
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , System theory , Calculus of variations , Probabilities , Physics , Mathematics , Analysis , Probability Theory and Stochastic Processes , Theoretical, Mathematical and Computational Physics , Systems Theory, Control , Calculus of Variations and Optimal Control Optimization , Partial Differential Equations
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Call number:SPRINGER-2003-9783540448853:ONLINE Show nearby items on shelf
Title:Convex Variational Problems Linear, Nearly Linear and Anisotropic Growth Conditions
Author(s): Michael Bildhauer
Date:2003
Size:1 online resource (220 p.)
Note:10.1007/b12308
Contents:1. Introduction -- 2. Variational problems with linear growth: the general setting -- 3. Variational integrands with ($,\mu ,q$)-growth -- 4. Variational problems with linear growth: the case of $\mu $-elliptic integrands -- 5.
Bounded solutions for convex variational problems with a wide range of anisotropy -- 6. Anisotropic linear/superlinear growth in the scalar case -- A. Some remarks on relaxation -- B. Some density results -- C. Brief comments on steady
states of generalized Newtonian fluids -- D. Notation and conventions -- References -- Index
ISBN:9783540448853
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1818
Keywords: Mathematics , Partial differential equations , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Partial Differential Equations
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Call number:SPRINGER-2003-9783540448570:ONLINE Show nearby items on shelf
Title:Optimal Transportation and Applications Lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 2-8, 2001
Author(s): Luigi Ambrosio
Date:2003
Size:1 online resource (169 p.)
Note:10.1007/b12016
Contents:Preface -- L.A. Caffarelli: The Monge-Ampère equation and Optimal Transportation, an elementary view -- G. Buttazzo, L. De Pascale: Optimal Shapes and Masses, and Optimal Transportation Problems -- C. Villani: Optimal Transportation,
dissipative PDE's and functional inequalities -- Y. Brenier: Extended Monge-Kantorowich Theory -- L. Ambrosio, A. Pratelli: Existence and Stability results in the L1 Theory of Optimal Transportation
ISBN:9783540448570
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze: 1813
Keywords: Mathematics , Partial differential equations , Convex geometry , Discrete geometry , Differential geometry , Calculus of variations , Probabilities , Mathematics , Partial Differential Equations , Convex and Discrete Geometry , Differential Geometry , Calculus of Variations and Optimal Control Optimization , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2003-9783540397052:ONLINE Show nearby items on shelf
Title:Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity
Author(s): Eitan Altman
Date:2003
Size:1 online resource (316 p.)
Note:10.1007/b93837
Contents:Preface -- Part I: Theoretical Foundations: Multimodularity, Convexity and Optimization Balanced Sequences Stochastic Event Graphs -- Part II: Admission and Routing Control: Admission Control in Stochastic Event Graphs Applications in
Queuing Networks Optimal Routing Optimal Routing in two Deterministic Queues -- Part III: Several Extensions: Networks with no Buffers Vacancies, Service Allocation and Polling Monotonicity of Feedback Control -- Part IV: Comparisons:
Comparison of Queues with Discrete-time Arrival Processes Simplex Convexity Orders and Bounds for Multimodular Functions Regular Ordering -- References -- Index
ISBN:9783540397052
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1829
Keywords: Mathematics , System theory , Calculus of variations , Probabilities , Combinatorics , Mathematics , Probability Theory and Stochastic Processes , Systems Theory, Control , Combinatorics , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2003-9783034880879:ONLINE Show nearby items on shelf
Title:Nonlinear Equations: Methods, Models and Applications
Author(s):
Date:2003
Size:1 online resource (268 p.)
Note:10.1007/978-3-0348-8087-9
Contents:A Riemann Mapping Type Theorem in Higher Dimensions, Part I: The Conformally Flat Case with Umbilic Boundary -- Computable Information Content and a Simple Application to the Study of DNA -- Bounded Positive Critical Points of Some
Multiple Integrals of the Calculus of Variations -- Hilbert Type Numbers for Polynomial ODE's -- S2-type Parametric Surfaces with Prescribed Mean Curvature and Minimal Energy -- Representations of Solutions of Hamilton-Jacobi Equations
-- Nonexistence of Global Solutions of Higher Order Evolution Inequalities in ?N -- Morse Index Computations for a Class of Functionals Defined in Banach Spaces -- A Global Compactness Result for Elliptic Problems with Critical
Nonlinearity on Symmetric Domains -- Variational Methods for Functionals with Lack of Strict Convexity -- Some Remarks on the Semilinear Wave Equation -- Unique Continuation Principles for Some Equations of Benjamin-Ono Type --
Well-posedness Results for the Modified Zakharov-Kuznetsov Equation -- A Class of Isoinertial One Parameter Families of Selfadjoint Operators -- Traveling Waves in Nonlinearly Supported Beams and Plates -- Solitary Waves Solutions of a
Nonlinear Schrödinger Equation -- Nontrivial Solutions of a Class of Quasilinear Elliptic Problems Involving Critical Exponents -- Solutions of Semilinear Problems in Symmetric Planar Domains - ODE Behavior and Uniqueness of Branches
-- Solutions of an Allen-Cahn Model Equation -- Some Equations of Non-geometrical Optics -- Speakers
ISBN:9783034880879
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Nonlinear Differential Equations and Their Applications : 54
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Partial differential equations , Calculus of variations , Physics , Mathematics , Analysis , Partial Differential Equations , Functional Analysis , Calculus of Variations and Optimal Control Optimization , Mathematical Methods in Physics
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Call number:SPRINGER-2003-9783034880572:ONLINE Show nearby items on shelf
Title:Selected Chapters in the Calculus of Variations
Author(s): Jürgen Moser
Date:2003
Size:1 online resource (1 p.)
Note:10.1007/978-3-0348-8057-2
Contents:1 One-dimensional variational problems -- 1.1 Regularity of the minimals -- 1.2 Examples -- 1.3 The accessory variational problem -- 1.4 Extremal fields for n=1 -- 1.5 The Hamiltonian formulation -- 1.6 Exercises to Chapter 1 -- 2
Extremal fields and global minimals -- 2.1 Global extremal fields -- 2.2 An existence theorem -- 2.3 Properties of global minimals -- 2.4 A priori estimates and a compactness property -- 2.5 Ma for irrational a, Mather sets -- 2.6 Ma
for rational a -- 2.7 Exercises to chapter II -- 3 Discrete Systems, Applications -- 3.1 Monotone twist maps -- 3.2 A discrete variational problem -- 3.3 Three examples -- 3.4 A second variational problem -- 3.5 Minimal geodesics on T2
-- 3.6 Hedlund’s metric on T3 -- 3.7 Exercises to chapter III -- A Remarks on the literature -- Additional Bibliography
ISBN:9783034880572
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Differential geometry , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Differential Geometry
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Call number:SPRINGER-2003-9783034880206:ONLINE Show nearby items on shelf
Title:Stochastic Analysis and Related Topics VIII Silivri Workshop in Gazimagusa (North Cyprus), September 2000
Author(s):
Date:2003
Size:1 online resource (208 p.)
Note:10.1007/978-3-0348-8020-6
Contents:Stochastic Control and Games Under Arbitrarily Dependent Noises -- Stochastic Games with Risk Sensitive Payoffs for N Players -- An Overall View of Stochastics in Colombeau Related Algebras -- On Metrics for Tangent Processes on the
Path Space -- Weak Approximation for Semilinear Stochastic Evolution Equations -- Exponential Type Decrease of the Density for Jump Processes with Singular Levy Measures in Small Time -- Controllability and Observability of Linear
Stochastic Systems in Hilbert Spaces -- Exact Computation of Spectral Densities for a Langevin Dynamic Modelling the Relaxation of a Protein near its Equilibrium -- Quasi-invariance for Lévy Processes under Anticipating Shifts --
Gaussian Measure of the Intersection of Two Absolutely Convex Sets
ISBN:9783034880206
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Probability : 53
Keywords: Mathematics , Dynamics , Ergodic theory , Functional analysis , Game theory , Calculus of variations , Probabilities , Physics , Mathematics , Probability Theory and Stochastic Processes , Dynamical Systems and Ergodic Theory , Functional Analysis , Game Theory, Economics, Social and Behav. Sciences , Calculus of Variations and Optimal Control Optimization , Mathematical Methods in Physics
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Call number:SPRINGER-2003-9781475769210:ONLINE Show nearby items on shelf
Title:Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
Author(s): D Motreanu
Date:2003
Size:1 online resource (380 p.)
Note:10.1007/978-1-4757-6921-0
Contents:1. Elements of Nonsmooth Analysis -- 2. Critical Points for Nonsmooth Functionals -- 3. Variational Methods -- 4. Multivalued Elliptic Problems in Variational Form -- 5. Boundary Value Problems in Non-Variational Form -- 6.
Variational, Hemivariational and Variationalhemivariational Inequalities -- 7. Eigenvalue Problems with Symmetries -- 8. Non-Symmetric Perturbations of Symmetric Eigenvalue Problems -- 9. Location of Solutions for General Nonsmooth
Problems -- 10. Nonsmooth Evolution Problems -- 11. Inequality Problems in BV and Geometric Applications
ISBN:9781475769210
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 67
Keywords: Mathematics , Functional analysis , Differential equations , Partial differential equations , Mathematical optimization , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Optimization , Partial Differential Equations , Functional Analysis , Ordinary Differential Equations
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