Mean square exponential stability for stochastic functional differential equations with impulses

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, stochastic functional differential equations with impulses are considered. By employing Gronwall-Bellman inequality, the stochastic analytic technique and the properties of operator semigroup, the sufficient conditions ensuring the exponential stability in mean square for mild solution of such system are obtained. Our results can generalize and improve the existing works.