Solution Sets of Differential Equations in Abstract Spaces  book cover
1st Edition

Solution Sets of Differential Equations in Abstract Spaces

ISBN 9780582294509
Published April 3, 1996 by Chapman and Hall/CRC
120 Pages

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Book Description

This book presents results on the geometric/topological structure of the solution set S of an initial-value problem x(t) = f(t, x(t)), x(0) =xo, when f is a continuous function with values in an infinite-dimensional space. A comprehensive survey of existence results and the properties of S, e.g. when S is a connected set, a retract, an acyclic set, is presented. The authors also survey results onthe properties of S for initial-value problems involving differential inclusions, and for boundary-value problems. This book will be of particular interest to researchers in ordinary and partial differential equations and some workers in control theory.

Table of Contents

Definitions and preliminary results
Peano's theorem in infinite dimensional spaces
Kneser type theorems
Aronszajn type theorems
Differential inclusions in Banach spaces
Boundary value problems

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