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

Asymptotically almost periodic solutions for abstract partial neutral integro-differential equation

José Paulo C. Dos Santos1 , Sandro M. Guzzo2 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

Abstract

The existence of asymptotically almost periodic mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay is studied.