Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications
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A01=Boris Gel'man
A01=Valeri Obukhovskii
Author_Boris Gel'man
Author_Valeri Obukhovskii
Bohnenblust-Karlin Fixed Point Theorem
BohnenblustAcAEURA"Karlin Fixed Point Theorem
Bohnenblust–Karlin Fixed Point Theorem
Category=PBKF
Category=PBKJ
Condensing Multivalued Map
Continuous Selection
Control System
Differential Inclusion
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equilibrium in a Competitive Economy
Equilibrium Strategies
Filippov Implicit Function Lemma
Fixed Point
Generalized Dynamical System
Guiding Function
Kakutani Fixed Point Theorem
Matrix Game
Measurable Multivalued Function
Measurable Selection
Measure of Noncompactness
Michael Theorem
Multivalued Contraction
Multivalued Integral
Multivalued Map
Nadler Fixed Point Theorem
Optimal Solution
Periodic Solution
Rest Point
Single-Valued Approximation
Topological Degree
Variational Inequality
Von Neumann Theorem
Zero-Sum Game
Product details
- ISBN 9789811220210
- Publication Date: 20 Apr 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at "beginners", starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.
