Solution Sets of Differential Equations in Abstract Spaces

1st Edition

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

Chapman and Hall/CRC
Published April 3, 1996
Reference - 120 Pages
ISBN 9780582294509 - CAT# LM9450
Series: Chapman & Hall/CRC Research Notes in Mathematics Series

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Summary

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.

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