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		Bheeman RADHAKRISHNAN,Krishnan BALACHANDRAN.[en_title][J].Control Theory and Technology,2012,10(1):028~034.[Copy]

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BheemanRADHAKRISHNAN,KrishnanBALACHANDRAN
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(Department of Mathematics, Bharathiar University)

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Received:August 12, 2010Revised:March 24, 2011

基金项目: This work of the first author was supported by University Grant Commission (UGC), India (No. G2/1287/UGC SAP DRS/2009).

Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions

Bheeman RADHAKRISHNAN,Krishnan BALACHANDRAN

(Department of Mathematics, Bharathiar University)

Abstract:

In this paper, we establish sufficient conditions for the controllability of a class of semilinear impulsive integrodifferential systems with nonlocal initial conditions in Banach spaces. We derive the conditions using Hausdorff measure of noncompactness, Sadovskii fixed point theorem and operator semigroups in particular dropping compactness of the operator.

Key words: Controllability Impulsive integrodifferential system Evolution operator Nonlocal initial conditions Condensing operator Sadovskii fixed point theorem Semigroup theory