International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 3, Pages 157-166
doi:10.1155/S0161171202111318
Controllability of semilinearstochastic delay evolution equations in Hilbert spaces
P. Balasubramaniam1
and J.P. Dauer2
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
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.