Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 043696, 13 pages
doi:10.1155/FPTA/2006/43696

Existence results for semilinear perturbed functional differential equations with nondensely defined operators

M. Belmekki,1 M. Benchohra,1 and S. K. Ntouyas2

1Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, Sidi Bel Abbès 22000, Algeria
2Department of Mathematics, University of Ioannina, Ioannina 451 10, Greece

Received 24 January 2006; Revised 9 August 2006; Accepted 5 September 2006

Copyright © 2006 M. Belmekki 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

We will establish sufficient conditions for the existence of integral solutions and extremal integral solutions for semilinear functional differential equations with nondensely defined operators in Banach spaces.