Existence, Uniqueness and Stability Results for Semilinear Integrodifferential Non-local Evolution Equations with Random Impulse

Abstract

In this paper, we prove the existence and uniqueness of random impulsive semilinear integrodifferential evolution equations with non-local conditions in Hilbert spaces. Also the stability results for the same evolution equation has been studied. The results are derived by using the semigroup theory and fixed point approach. An application is provided to illustrate the theory.