Solution Sets of Differential Equations in Abstract Spaces
Author | : Robert Dragoni |
Publisher | : CRC Press |
Total Pages | : 42 |
Release | : 1996-04-03 |
ISBN-10 | : 0582294509 |
ISBN-13 | : 9780582294509 |
Rating | : 4/5 (09 Downloads) |
Book excerpt: 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.