Evolution inclusions with non-fixed times of impulses

Abstract

In this paper, we study evolution inclusions on Gelfand triple with not fixed times of impulses. We assume that the right-hand side satisfies some mild conditions to prove existence of solutions. Then we prove a continuous dependence of the solution set on the initial conditions, impulsive surfaces and the right-hand side under one-sided Lipschitz condition. Illustrative examples of partial differential inclusions are provided.