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Controllability Results for Second Order Neutral Impulsive Integrodifferential Systems

Author

Listed:
  • B. Radhakrishnan

    (Bharathiar University)

  • K. Balachandran

    (Bharathiar University)

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.

Suggested Citation

  • B. Radhakrishnan & K. Balachandran, 2011. "Controllability Results for Second Order Neutral Impulsive Integrodifferential Systems," Journal of Optimization Theory and Applications, Springer, vol. 151(3), pages 589-612, December.
    • Handle: RePEc:spr:joptap:v:151:y:2011:i:3:d:10.1007_s10957-011-9860-0
    DOI: 10.1007/s10957-011-9860-0
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    Cited by:

    1. Dimplekumar Chalishajar & Annamalai Anguraj & Kandasamy Malar & Kulandhivel Karthikeyan, 2016. "A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces," Mathematics, MDPI, vol. 4(4), pages 1-16, October.
    2. B. Radhakrishnan & K. Balachandran, 2012. "Controllability of Neutral Evolution Integrodifferential Systems with State Dependent Delay," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 85-97, April.

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