Controllability of second-order impulsive functional differential equations with state-dependent delay
Bull. Korean Math. Soc. 2011 Vol. 48, No. 6, 1271-1290
https://doi.org/10.4134/BKMS.2011.48.6.1271
Published online November 1, 2011
Ganesan Arthi and Krishnan Balachandran
Bharathiar University, Bharathiar University
Abstract : 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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