Sinossi
This is the second of a two-volume exposition on the theory and applications of set-valued maps. Multivalued analysis is a remarkable mixture of many different fields of mathematics, such as topology, measure theory, nonlinear functional analysis and applied mathematics. This two-volume work provides a comprehensive survey of the general theory and applications of set-valued analysis. The existing books on the subject deal with either one particular domain of the subject or present primarily the finite dimensional aspects of the theory and applications. In contrast these volumes give a complete picture of the subject, both from the theoretical and applied viewpoints, including new developments that have occurred in recent years and a detailed bibliography. The present volume presents the applications of the theory of set-valued maps, which include various kinds of evolution inclusions, differential inclusions, integral inclusions, optimal control, calculus of variations, mathematical economics, game theory and optimization. Although the presentation of these applications assumes some knowledge of mathematical analysis, the authors have made every effort, including the addition of an appendix, to keep the work self-contained.
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Contenuti
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.
Product Description
Handbook Of Multivalued Analysis, Volume Ii:Applications (Mathematics And Its Applications) by Shouchuan Hu Et.Al, 9780792361640, Springer, 2000, Hardcover
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Gebunden. Condizione: New. 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 an. Codice articolo 67405712
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HANDBOOK OF MULTIVALUED ANALYSIS VOL 2 APPLICATIONS (HB 2000)
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Handbook of Multivalued Analysis : Volume II: Applications
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Buch. Condizione: Neu. Neuware - This is the second of a two-volume exposition on the theory and applications of set-valued maps. Multivalued analysis is a remarkable mixture of many different fields of mathematics, such as topology, measure theory, nonlinear functional analysis and applied mathematics. This two-volume work provides a comprehensive survey of the general theory and applications of set-valued analysis. The existing books on the subject deal with either one particular domain of the subject or present primarily the finite dimensional aspects of the theory and applications. In contrast these volumes give a complete picture of the subject, both from the theoretical and applied viewpoints, including important new developments that have occurred in recent years and a detailed bibliography. The present volume presents the applications of the theory of set-valued maps, which include various kinds of evolution inclusions, differential inclusions, integral inclusions, optimal control, calculus of variations, mathematical economics, game theory and optimization. Although the presentation of these applications assumes some knowledge of mathematical analysis, the authors have made every effort, including the addition of an appendix, to keep the work self-contained. Audience: This work is an essential reference for graduate students and researchers interested in the applications of multivalued analysis, such as mathematicians working on differential and evolution inclusions, control theorists, mathematical economists, game theorists and people working on optimization and calculus variations. Codice articolo 9780792361640
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