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Controllability for Functional Differential and Integrodifferential Inclusions in Banach Spaces

Author

Listed:
  • M. Benchohra

    (University of Sidi Bel Abbes)

  • S.K. Ntouyas

    (University of Ioannina)

Abstract

In this paper, we establish sufficient conditions for the controllability of functional differential and integrodifferential inclusions in Banach spaces. We rely on a fixed-point theorem for condensing maps due to Martelli.

Suggested Citation

  • M. Benchohra & S.K. Ntouyas, 2002. "Controllability for Functional Differential and Integrodifferential Inclusions in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 449-472, June.
    • Handle: RePEc:spr:joptap:v:113:y:2002:i:3:d:10.1023_a:1015352503233
    DOI: 10.1023/A:1015352503233
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    Cited by:

    1. B. Liu, 2004. "Controllability of Neutral Functional Differential and Integrodifferential Inclusions with Infinite Delay," Journal of Optimization Theory and Applications, Springer, vol. 123(3), pages 573-593, December.
    2. Eduardo Hernández & Donal O’Regan & Krishnan Balachandran, 2013. "Comments on Some Recent Results on Controllability of Abstract Differential Problems," Journal of Optimization Theory and Applications, Springer, vol. 159(1), pages 292-295, October.
    3. Vijayakumar, V. & Selvakumar, A. & Murugesu, R., 2014. "Controllability for a class of fractional neutral integro-differential equations with unbounded delay," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 303-312.
    4. Y. K. Chang & W. T. Li, 2007. "Controllability of Functional Integro-Differential Inclusions with an Unbounded Delay," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 125-142, January.

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