
Solution Sets of Differential Equations in Abstract Spaces
CRC Press
1st Edition
Published on 3. April 1996
Book
Hardback
120 pages
978-0-582-29450-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 280 mm
Width: 210 mm
Weight
222 gr
ISBN-13
978-0-582-29450-9 (9780582294509)
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Schweitzer Classification
Persons
Content
Definitions and preliminary results
Peano's theorem in infinite dimensional spaces
Kneser type theorems
Aronszajn type theorems
Differential inclusions in Banach spaces
Boundary value problems
Bibliography
Peano's theorem in infinite dimensional spaces
Kneser type theorems
Aronszajn type theorems
Differential inclusions in Banach spaces
Boundary value problems
Bibliography