Existence results for impulsive delayed neutral stochastic functional differential equations with noncompact semigroup

Abstract

In this paper, we study the existence of mild solutions for impulsive neutral stochastic functional differential equations driven by a fractional Brownian motion with noncompact semigroup and varying-time delays in a Hilbert space. With the help of the Hausdorff measure of noncompactness, the Mönch fixed-point theorem and some inequality technique, some new criteria to guarantee the mild solution for impulsive neutral stochastic functional differential equations are obtained. Moreover, some previous results will be significantly improved in our paper.