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2000, ISBN: 0792361644
ID: 16873106237
[EAN: 9780792361640], Neubuch, [PU: Kluwer Academic Publishers, United States], Mathematics|Mathematical Analysis, Mathematics|Topology, Language: English . Brand New Book. 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.
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2000, ISBN: 9780792361640
ID: 691582197
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. Volume II: Applications Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 31.01.2000, Springer, .200
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ISBN: 9780792361640
ID: a8061f17f8b66fa8c3a33b79c81a4d7e
Volume II: Applications 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6164-0, Springer
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ISBN: 9780792361640
[ED: Buch], [PU: Springer-Verlag GmbH], 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., [SC: 0.00], Neuware, gewerbliches Angebot, 243x167x55 mm, [GW: 1561g]
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ISBN: 9780792361640
[ED: Buch], [PU: Springer-Verlag GmbH], 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., [SC: 0.00], Neuware, gewerbliches Angebot, 243x167x55 mm, [GW: 1561g]
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Title: | Handbook of Multivalued Analysis: Volume II: Applications |
ISBN: | 9780792361640 |
Details of the book - Handbook of Multivalued Analysis: Volume II: Applications
EAN (ISBN-13): 9780792361640
ISBN (ISBN-10): 0792361644
Hardcover
Publishing year: 2000
Publisher: SPRINGER VERLAG GMBH
944 Pages
Weight: 1,488 kg
Language: eng/Englisch
Book in our database since 17.02.2008 20:42:54
Book found last time on 14.12.2016 10:08:17
ISBN/EAN: 9780792361640
ISBN - alternate spelling:
0-7923-6164-4, 978-0-7923-6164-0
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