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.
- ISBN10 0582294509
- ISBN13 9780582294509
- Publish Date 3 April 1996
- Publish Status Active
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint CRC Press
- Format Hardcover
- Pages 120
- Language English