Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 298207, 8 pages
doi:10.1155/2009/298207
Research Article

Almost Automorphic and Pseudo-Almost Automorphic Solutions to Semilinear Evolution Equations with Nondense Domain

Bruno de Andrade and Claudio Cuevas

Departamento de Matemática, Universidade Federal de Pernambuco, 50540-740 Recife, PE, Brazil

Received 27 March 2009; Accepted 27 May 2009

Academic Editor: Simeon Reich

Copyright © 2009 Bruno de Andrade and Claudio Cuevas. 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 study the existence and uniqueness of almost automorphic (resp., pseudo-almost automorphic) solutions to a first-order differential equation with linear part dominated by a Hille-Yosida type operator with nondense domain.