Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 043696, 13 pages
Existence results for semilinear perturbed functional differential equations with nondensely defined operators
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.
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.