Solution Sets of Differential Equations in Abstract Spaces

1. Auflage 1996
ISBN: 978-0-582-29450-9
Verlag: Chapman and Hall/CRC

Buch, Englisch, 120 Seiten, Format (B × H): 169 mm x 243 mm, Gewicht: 181 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

Autoren/Hrsg.

Dragoni, Robert

Nistri, Paolo

Zecca, Pietro

Macki, Jack W

Weitere Mitwirkende

Elliott, Robert J.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Definitions and preliminary resultsPeano's theorem in infinite dimensional spacesKneser type theoremsAronszajn type theoremsDifferential inclusions in Banach spacesBoundary value problemsBibliography