Existence and controllability results for an impulsive stochastic integro-differential equations with state-dependent delay

Abstract

This study aims to investigate the existence of mild solutions for a class of impulsive stochastic integrodifferential equations with state-dependent delay in a real separable Hilbert space, as well as the controllability of these solutions. We offer Sufficient conditions for the existence and controllability results using the fixed point techniques combined with the theory of resolvent operator in Grimmer and analysis stochastic. Finally, we provide an example to illustrate the obtained results.