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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