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Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications (Hardcover)
Loot Price: R2,376
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Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications (Hardcover)
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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.
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