International Journal of Mathematics and Mathematical Sciences 
Volume 31 (2002), Issue 3, Pages 157-166
doi:10.1155/S0161171202111318

Controllability of semilinear stochastic delay evolution equations in Hilbert spaces

P. Balasubramaniam1 and J. P. Dauer2

 1Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram 624 302, Tamil Nadu, India
2Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga 37403-2598, TN, USA
Received 11 November 2001

Abstract

The controllability of semilinear stochastic delay evolution equations is studied by using a stochastic version of the well-known Banach fixed point theorem and semigroup theory. An application to stochastic partial differential equations is given.