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Controllability Results for Second Order Neutral Impulsive Integrodifferential Systems

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Abstract

In this paper, we address the problem of controllability for abstract second order neutral integrodifferential systems with impulsive conditions in Banach spaces. Furthermore, we discuss the controllability of second-order neutral integrodifferential systems in finite dimensional spaces. The results are obtained by using strongly continuous cosine families of operators and the Banach fixed point theorem.

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Authors and Affiliations

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

    B. Radhakrishnan & K. Balachandran

Authors
  1. B. Radhakrishnan
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  2. K. Balachandran
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Correspondence to B. Radhakrishnan.

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Communicated by Mark J. Balas.

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Radhakrishnan, B., Balachandran, K. Controllability Results for Second Order Neutral Impulsive Integrodifferential Systems. J Optim Theory Appl 151, 589–612 (2011). https://doi.org/10.1007/s10957-011-9860-0

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  • DOI: https://doi.org/10.1007/s10957-011-9860-0

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