Electron. J. Diff. Eqns., Vol. 2008(2008), No. 162, pp. 1-15.

Approximate controllability of neutral stochastic integrodifferential systems in Hilbert spaces

Ravikumar Subalakshmi, Krishnan Balachandran

Abstract:
In this paper sufficient conditions are established for the controllability of a class of neutral stochastic integrodifferential equations with nonlocal conditions in abstract space. The Nussbaum fixed point theorem is used to obtain the controllability results, which extends the linear system to the stochastic settings with the help of compact semigroup. An example is provided to illustrate the theory.

Submitted June 1, 2008. Published December 12, 2008.
Math Subject Classifications: 93B05.
Key Words: Compact semigroup; approximate controllability; neutral stochastic integrodifferential system; Nussbaum fixed point theorem.

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Ravikumar Subalakshmi
Department of Mathematics, Bharathiar University
Coimbatore-641 046, India
email: suba.ab.bu@gmail.com
Krishnan Balachandran
Department of Mathematics, Bharathiar University
Coimbatore-641 046, India
email: balachandran_k@lycos.com

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