Article ID Journal Published Year Pages File Type
4619784 Journal of Mathematical Analysis and Applications 2009 13 Pages PDF
Abstract

We give sufficient conditions ensuring the existence, uniqueness and global attractiveness of a pseudo compact almost automorphic solution of the following differential equation:x′(t)=f(t,x(t))x′(t)=f(t,x(t)) in a Banach space E  , where f:R×E→E is a pseudo almost automorphic function with respect to the first argument. We essentially assume that the function f is dissipative. Then we apply the main results to the following equation:x′(t)+q(t)‖x(t)‖αx(t)=f(t)(α⩾0).

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,