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Received:April 20, 2011Revised:March 08, 2012 |
基金项目:This work of Dr. Arthi was supported by University Grant Commission (UGC), India (No. G2/1287/UGC SAP DRS/2009). |
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Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions |
Ganesan ARTHI,Krishnan BALACHANDRAN |
(Department of Mathematics, Bharathiar University) |
Abstract: |
In this paper, we establish a set of sufficient conditions for the controllability of damped second-order impulsive neutral integrodifferential systems with nonlocal initial conditions in Banach spaces. The approach used is the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is presented to illustrate the result. |
Key words: Controllability Damped second-order differential equations Impulsive differential equations Neutral integrodifferential equations Nonlocal conditions |