Solution Sets of Differential Equations in Abstract Spaces

Released on by Robert Dragoni
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  • Solution Sets of Differential Equations in Abstract Spaces Book Detail

  • Author : Robert Dragoni
  • Release Date : 1996-04-03
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 42
  • ISBN 13 : 9780582294509
  • File Size : 37,37 MB
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Solution Sets of Differential Equations in Abstract Spaces by Robert Dragoni PDF Summary

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.

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