Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay

Abstract

This paper is considered with the existence and controllability of mild solutions for a class of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay in a real separable Hilbert space.Under the sufficient conditions, the existence and controllability of mild solutions are obtained by means of the fixed point techniques. Finally, an example is given to illustrate the main results.