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
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.