Impulsive evolution inclusions with state-dependent delay and multivalued jumps

Abstract

In this paper we prove the existence of a mild solution for a class of impulsive semilinear evolution differential inclusions with state-dependent delay and multivalued jumps in a Banach space. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values.

Keywords

• evolution inclusions
• measure of noncompactness
• state-dependent delay
• impulses
• infinite delay
• mild solutions