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		Bheeman RADHAKRISHNAN,Krishnan BALACHANDRAN.[en_title][J].Control Theory and Technology,2013,11(3):415~421.[Copy]

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BheemanRADHAKRISHNAN,KrishnanBALACHANDRAN
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(Department of Applied Mathematics & Computational Sciences, PSG College of Technology;Department of Mathematics, Bharathiar University)

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Received:June 25, 2012Revised:September 29, 2012

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Controllability results for nonlinear impulsive integrodifferential evolution systems with time-varying delays

Bheeman RADHAKRISHNAN,Krishnan BALACHANDRAN

(Department of Applied Mathematics & Computational Sciences, PSG College of Technology;Department of Mathematics, Bharathiar University)

Abstract:

In this paper, we study the controllability results for the nonlinear impulsive integrodifferential evolution systems with time-varying delays in Banach spaces. The sufficient conditions of exact controllability is proved under without assuming the compactness of the evolution operator. The results are obtained by using the semigroup theory and the Schafer fixed point theorem.

Key words: Controllability Impulsive integrodifferential system Evolution operator Time varying delay Fixed point theorem Semigroup theory