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

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

By: Jack W. Macki (author), Pietro Zecca (author), Paolo Nistri (author), Robert Dragoni (author)Hardback

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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.

Contents

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

Product Details

  • ISBN13: 9780582294509
  • Format: Hardback
  • Number Of Pages: 120
  • ID: 9780582294509
  • weight: 222
  • ISBN10: 0582294509

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