Abstract and Applied Analysis 
Volume 2004 (2004), Issue 5, Pages 425-434
doi:10.1155/S108533750430610X

On a nonlocal Cauchy problem for differential inclusions

E. Gatsori, S. K. Ntouyas, and Y. G. Sficas

 Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
Received 3 September 2002

Abstract

We establish sufficient conditions for the existence of solutions for semilinear differential inclusions, with nonlocal conditions. We rely on a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler andon the Schaefer's fixed-point theorem combined with lower semicontinuous multivalued operators with decomposable values.