Solution Sets of Differential Equations in Abstract Spaces

solution sets of differential equations in abstract spaces

more information about Solution Sets of Differential Equations in Abstract Spaces

Solution Sets of Differential Equations in Abstract Spaces

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Book 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.

Book Info
Presents results on the geometric/topological structure of the solution set S of an initialvalue problem x(t) = f(t, x(t)), x(o) = xo, when f is a continuous function with values in an infinite-dimensional space. Paper.

Solution Sets of Differential Equations in Abstract Spaces,Robert Dragoni,Paolo Nistri,Pietro Zecca,Jack W Macki,Chapman & Hall/CRC,0582294509,Algebra - General,Functional Analysis,General,Mathematical Analysis,Mathematics,Science,Science/Mathematics,Theory Of Operators,Differential equations,Mathematics / Differential Equations,Set theory

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