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Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay

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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.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641046, Tamil Nadu, India

    G. Arthi & K. Balachandran

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  1. G. Arthi
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  2. K. Balachandran
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Correspondence to G. Arthi.

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Communicated by Alberto d’Onofrio.

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Arthi, G., Balachandran, K. Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay. J Optim Theory Appl 152, 799–813 (2012). https://doi.org/10.1007/s10957-011-9926-z

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  • DOI: https://doi.org/10.1007/s10957-011-9926-z

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