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Solution Sets of Differential Equations in Abstract Spaces: 342 (Chapman & Hall/CRC Research Notes in Mathematics Series) - Softcover

Dragoni, Robert; Nistri, Paolo; Zecca, Pietro; Macki, Jack W

 
9780582294509: Solution Sets of Differential Equations in Abstract Spaces: 342 (Chapman & Hall/CRC Research Notes in Mathematics Series)

Synopsis

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.

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