EXISTENCE OF SOLUTIONS FOR INTEGRODIFFERENTIAL EVOLUTION INCLUSIONS WITH NONLOCAL CONDITIONS

Abstract

The aim of this paper is to give two theorems about the existence of mild solutions for integrodifferential evolution inclusions with nonlocal conditions in a separable Banach space. One involving convex-valued orientor fields and the other nonconvex-valued ones. The results are obtained using a compactness type hypothesis involving the Hausdorff- measure of noncompactness, Kakutani's fixed-point theorem and Schauder's fixed-point theorem.