Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay
G. Arthi () and
K. Balachandran
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G. Arthi: Bharathiar University
K. Balachandran: Bharathiar University
Journal of Optimization Theory and Applications, 2012, vol. 152, issue 3, No 14, 799-813
Abstract:
Abstract In this paper, the controllability problem is discussed for the damped second-order impulsive neutral functional differential systems with infinite delay in Banach spaces. Sufficient conditions for controllability results are derived by means of the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is provided to illustrate the theory.
Keywords: Controllability; Damped second-order differential equations; Impulsive neutral differential equations; Infinite delay (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-011-9926-z
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