Solution Sets of Differential Equations in Abstract Spaces

By Robert Dragoni

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.

• Format: Hardcover
• Language: English
• ISBN: 0582294509
• ISBN13: 9780582294509
• Release Date: April 1996
• Publisher: CRC Press
• Length: 120 Pages
• Weight: 0.40 lbs.
• Dimensions: 0.4" x 6.7" x 9.6"