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Bull. Korean Math. Soc. 2011; 48(6): 1271-1290
Printed November 1, 2011
https://doi.org/10.4134/BKMS.2011.48.6.1271
Copyright © The Korean Mathematical Society.
Controllability of second-order impulsive functional differential equations with state-dependent delay
Ganesan Arthi and Krishnan Balachandran
Bharathiar University, Bharathiar University
The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with state-dependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory. Finally examples are presented to illustrate the theory.
Keywords: controllability, impulsive differential equations, neutral differential equations, state-dependent delay
MSC numbers: 93B05, 34A37
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