Stochastic Stability Of Differential Equations In Abstract Spaces
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Stochastic Stability of Differential Equations in Abstract Spaces
Author: Kai Liu
language: en
Publisher: Cambridge University Press
Release Date: 2019-05-02
Presents a unified treatment of stochastic differential equations in abstract, mainly Hilbert, spaces.
Solution Sets of Differential Equations in Abstract Spaces
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.