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IMA Journal of Mathematical Control and Information Advance Access originally published online on April 3, 2009
IMA Journal of Mathematical Control and Information 2009 26(2):131-140; doi:10.1093/imamci/dnp004
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© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Approximate controllability for semi-linear retarded stochastic systems in Hilbert spaces

P. Muthukumar and P. Balasubramaniam{dagger}

Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamil Nadu, India

{dagger} Email: pbalgri{at}rediffmail.com

Received on December 4, 2007; Accepted on February 27, 2009

In this paper, semi-linear retarded stochastic control systems together with conditions for approximate controllability of associated linear system is used to obtain sufficient conditions for approximate controllability results in Hilbert spaces. An example is also provided to illustrate the theory.

Keywords: approximate controllability; retarded stochastic semi-linear system; Hilbert space.


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