Solution Sets of Differential Equations in Abstract Spaces

Robert Dragoni, Paolo Nistri, Pietro Zecca, Jack W Macki (Autoren)

Buch | Hardcover

120 Seiten

1996
CRC Press (Verlag)
978-0-582-29450-9 (ISBN)

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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.

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

Erscheint lt. Verlag	3.4.1996
Reihe/Serie	Chapman & Hall/CRC Research Notes in Mathematics Series
Mitarbeit	Herausgeber (Serie): Robert J. Elliott
Verlagsort	London
Sprache	englisch
Maße	210 x 280 mm
Gewicht	222 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-582-29450-9 / 0582294509
ISBN-13	978-0-582-29450-9 / 9780582294509
Zustand	Neuware