Approximate controllability of second-order impulsive stochastic differential system with nonlocal conditions

Abstract

This paper concerns with the approximate controllability of second-order impulsive stochastic differential equations with nonlocal conditions in Hilbert space setting. Using stochastic analysis and fixed point scheme, a new set of sufficient conditions is formulated that ensures the approximate controllability of the considered system. Finally, an example is included to illustrate effectiveness of the developed theory.