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Controllability of Neutral Functional Differential and Integrodifferential Inclusions with Infinite Delay

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  • B. Liu

    (Huazhong University of Science and Technology)

Abstract

Sufficient conditions are derived for the controllability of neutral functional differential and integrodifferential inclusions with infinite delay in a Banach space. The results are obtained by using a fixed-point theorem for condensing maps due to Martelli. An example is given to illustrate the results.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:123:y:2004:i:3:d:10.1007_s10957-004-5724-1
    DOI: 10.1007/s10957-004-5724-1
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    References listed on IDEAS

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    1. M. Benchohra & S. K. Ntouyas, 2001. "Controllability for an Infinite-Time Horizon of Second-Order Differential Inclusions in Banach Spaces with Nonlocal Conditions," Journal of Optimization Theory and Applications, Springer, vol. 109(1), pages 85-98, April.
    2. 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.
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    Cited by:

    1. S. K. Ntouyas & D. O’Regan, 2007. "Controllability for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 491-513, 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. G. Arthi & K. Balachandran, 2012. "Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay," Journal of Optimization Theory and Applications, Springer, vol. 152(3), pages 799-813, March.

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