Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619784 | Journal of Mathematical Analysis and Applications | 2009 | 13 Pages |
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
Philippe Cieutat, Khalil Ezzinbi,