Controllability of stochastic semilinear functional differential equations in Hilbert spaces

Abstract

In this paper approximate and exact controllability for semilinear stochastic functional differential equations in Hilbert spaces is studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Banach fixed point theorem. Applications to stochastic heat equation are given. (C) 2003 Elsevier Inc. All rights reserved.