existence and controllability for non-instantaneous impulsive stochastic integro-differential equations with noncompact semigroups

This paper deals with the existence and exact controllability of a class of non-instantaneous impulsive stochastic integro-differential equations with nonlocal conditions in a hilbert space under the assumption that the semigroup generated by the linear part is noncompact.  a set of sufficient conditions are generated using the stochastic analysis technique,   kuratowskii’s measure of non-compactness, a resolvent operator and a generalized darbo’s fixed point theorem to obtain existence and controllability results of mild solutions for the considered system. examples are also given to illustrate the effectiveness of controllability results obtained.