Abstract and Applied Analysis
Volume 2004 (2004), Issue 6, Pages 525-541
doi:10.1155/S1085337504306202
Multivalued semilinear neutral functional differential equations with nonconvex-valued right-hand side
M. Benchohra1
, E. Gatsori2
and S.K. Ntouyas2
1Laboratoire de Mathématiques, Universit de Sidi Bel Abbés, BP 89, Sidi Bel Abbès 22000, Algeria
2Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
Abstract
We investigate the existence of mild solutions on acompact interval to some classes of semilinear neutral functional differential inclusions. We will rely on a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler and on Schaefer's fixed-point theorem combined with lower semicontinuous multivalued operators with decomposable values.