Handbook of Multivalued Analysis: Volume II: Applications by Nikolaos S. Papageo

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This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par­ tial differential equations and linear functional equations.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi­ valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im­ portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par­ tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.

Table of Contents

Preface. I. Evolution Inclusions Involving Monotone Coercive Operators. II. Evolution Inclusions of the Subdifferential Type. III. Special Topics in Differential and Evolution Inclusions. IV. Optimal Control. V. Calculus of Variations. VI. Mathematical Economics. VII. Stochastic Games. VIII. Special Topics in Mathematical Economics and Optimization. Appendix. References. Symbol. Index. Errata of Volume A.

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Long Description

In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi

Details ISBN1461371112 ISBN-10 1461371112 ISBN-13 9781461371113 Format Paperback Author Shouchuan Hu Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States DEWEY 515.353 Pages 932 Year 2013 Publication Date 2013-12-06 Short Title HANDBK OF MULTIVALUED ANALYSIS Edition Description 2000 Language English Media Book Series Number 500 Edition 2000th Subtitle Volume II: Applications Illustrations XI, 932 p. AU Release Date 2013-12-06 NZ Release Date 2013-12-06 US Release Date 2013-12-06 UK Release Date 2013-12-06 Publisher Springer-Verlag New York Inc. Series Mathematics and Its Applications Alternative 9780792361640 Audience Professional & Vocational We've got this

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