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
1Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, Tamil Nadu 624 302, India
2Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN 37403-2598, USA
Received 11 November 2001
Copyright © 2002 P. Balasubramaniam and J. P. Dauer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.