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Controllability of stochastic semilinear functional differential equations in Hilbert spaces
Authors:J. P. Dauer  N. I. Mahmudov  
Affiliation:a Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA;b Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, Turkey
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.
Keywords:Approximate controllability   Exact controllability   Semilinear stochastic functional differential equations   Banach fixed point theorem
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