Electron. J. Diff. Equ., Vol. 2011 (2011), No. 86, pp. 1-15.

Controllability of neutral impulsive stochastic quasilinear integrodifferential systems with nonlocal conditions

Krishnan Balachandran, Ravikumar Sathya

Abstract:
We establish sufficient conditions for controllability of neutral impulsive stochastic quasilinear integrodifferential systems with nonlocal conditions in Hilbert spaces. The results are obtained by using semigroup theory, evolution operator and a fixed point technique. An example is provided to illustrate the obtained results.

Submitted June 3, 2011. Published June 29, 2011.
Math Subject Classifications: 93B05, 34A37, 34K50.
Key Words: Controllability; neutral equation; fixed point; impulsive stochastic integrodifferential system.

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Krishnan Balachandran
Department of Mathematics, Bharathiar University
Coimbatore - 641046, India
email: kb.maths.bu@gmail.com
Ravikumar Sathya
Department of Mathematics, Bharathiar University
Coimbatore - 641046, India
email: sathyain.math@gmail.com

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