Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 43696, 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

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.