Verwandte Artikel zu Handbook of Multivalued Analysis: Volume II: Applications:...
Handbook of Multivalued Analysis: Volume II: Applications: 500 (Mathematics and Its Applications) - Hardcover
Inhaltsangabe
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.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
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.
Reseña del editor
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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Gebraucht kaufen
Zustand: Sehr gutAncien livre de bibliothèque. Salissures...
Diesen Artikel anzeigen
EUR 9,90
EUR 3,99 für den Versand von Frankreich nach Deutschland
Versandziele, Kosten & DauerNeu kaufen
Diesen Artikel anzeigen
EUR 160,17
EUR 5,77 für den Versand von Vereinigtes Königreich nach Deutschland
Versandziele, Kosten & Dauer
Suchergebnisse für Handbook of Multivalued Analysis: Volume II: Applications:...
Beispielbild für diese ISBN
Handbook of Multivalued Analysis: Volume II: Applications
Anbieter: Ammareal, Morangis, Frankreich
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Très bon. Ancien livre de bibliothèque. Salissures sur la tranche. Edition 2007. Tome 2. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Stains on the edge. Edition 2007. Volume 2. Ammareal gives back up to 15% of this item's net price to charity organizations. Artikel-Nr. E-867-779
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Handbook of Multivalued Analysis : Volume II: Applications
Anbieter: Buchpark, Trebbin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: Hervorragend. Zustand: Hervorragend | Seiten: 932 | Sprache: Englisch | Produktart: Bücher. Artikel-Nr. 3032823/1
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Handbook of Multivalued Analysis: Volume II: Applications (Mathematics and Its Applications, 500)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In. Artikel-Nr. ria9780792361640_new
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Handbook of Multivalued Analysis 02
Anbieter: moluna, Greven, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Gebunden. Zustand: 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. Artikel-Nr. 67405712
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Handbook of Multivalued Analysis : Volume II: Applications
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: 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. Artikel-Nr. 9780792361640
Anzahl: 2 verfügbar