Abstract and Applied Analysis
Volume 2004 (2004), Issue 5, Pages 425-434
doi:10.1155/S108533750430610X
On a nonlocal Cauchy problem for differential inclusions
Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
Received 3 September 2002
Copyright © 2004 E. Gatsori 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.
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.