APPROXIMATE CONTROLLABILITY OF STOCHASTIC IMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMS WITH INFINITE DELAY
This paper is concerned with the approximate controllability of impulsive stochastic integro-differential systems with infinite delay in Hilbert spaces. By using the contraction mapping principle, some sufficient conditions are given with no compactness condition imposed on the semigroup generated by the linear part of the system. The results are obtained by using the Nussbaum’s fixed point theorem.
approximate controllability, impulsive stochastic integro-differential equations, impulsive systems, fixed point theorem, Hilbert spaces.