Solution Sets of Differential Equations in Abstract Spaces: 1st Edition (Hardback) book cover

Solution Sets of Differential Equations in Abstract Spaces

1st Edition

By Robert Dragoni, Paolo Nistri, Pietro Zecca, Jack W Macki

Chapman and Hall/CRC

120 pages

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Hardback: 9780582294509
pub: 1996-04-03
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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

Bibliography

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT012000
MATHEMATICS / Geometry / General