Advances in Difference Equations
Volume 2009 (2009), Article ID 380568, 19 pages
doi:10.1155/2009/380568
Research Article

Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces

Claudio Vidal

Departamento de Matemática, Facultad de Ciencias, Universidad del Bío Bío, Casilla 5-C, Concepción, Chile

Received 20 November 2008; Revised 23 March 2009; Accepted 10 June 2009

Academic Editor: Donal O'Regan

Copyright © 2009 Claudio Vidal. 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

The existence of periodic, almost periodic, and asymptotically almost periodic of periodic and almost periodic of abstract retarded functional difference equations in phase spaces is obtained by using stability properties of a bounded solution.