Solution Sets of Differential Equations in Abstract Spaces
Download or Read eBook Solution Sets of Differential Equations in Abstract Spaces PDF written by Robert Dragoni and published by CRC Press. This book was released on 1996-04-03 with total page 42 pages. Available in PDF, EPUB and Kindle.
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 Synopsis Solution Sets of Differential Equations in Abstract Spaces by : Robert Dragoni
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.