Advances in Difference Equations
Volume 2011 (2011), Article ID 895079, 23 pages
doi:10.1155/2011/895079
Research Article

Existence of Pseudo-Almost Automorphic Mild Solutions to Some Nonautonomous Partial Evolution Equations

Toka Diagana

Department of Mathematics, Howard University, 2441 6th Street N.W., Washington, DC 20059, USA

Received 15 September 2010; Accepted 29 October 2010

Academic Editor: Jin Liang

Copyright © 2011 Toka Diagana. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We use the Krasnoselskii fixed point principle to obtain the existence of pseudo almost automorphic mild solutions to some classes of nonautonomous partial evolutions equations in a Banach space.