Journal of Applied Mathematics and Stochastic Analysis
Volume 16 (2003), Issue 2, Pages 191-200
doi:10.1155/S1048953303000145
Abstract
In this note we investigate the existence of solutions of initial and boundary value problems defined on a compact interval to some classes of functional differential inclusions.
We shall rely on a fixed point theorem for contraction multivalued maps due to Covitz
and Nadler and Schafer's theorem combined with lower semicontinuous multivalued operators with decomposable values.