Advances in Difference Equations
Volume 2010 (2010), Article ID 310951, 26 pages
doi:10.1155/2010/310951
Research Article

Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro-Differential Equation

José Paulo C. dos Santos,1 Sandro M. Guzzo,2 and Marcos N. Rabelo3

1Departamento de Ciências Exatas, Universidade Federal de Alfenas, Rua Gabriel Monteiro da Silva, 700. 37130-000 Alfenas-MG, Brazil
2Colegiado do curso de Matemática-UNIOESTE, Rua Universitária, 2069, Caixa Postal 711, 85819-110 Cascavel-PR, Brazil
3Departamento de Matemática, Universidade Federal de Pernambuco, Av. Prof. Luiz Freire, Cidade Universitária, 50740-540 Recife-PE, Brazil

Received 24 November 2009; Revised 23 February 2010; Accepted 24 February 2010

Academic Editor: Toka Diagana

Copyright © 2010 José Paulo C. dos Santos et al. 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 asymptotically almost periodic mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay is studied.