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Controllability of Second-Order Differential and Integro-Differential Inclusions in Banach Spaces

Author

Listed:
  • Y. K. Chang

    (Lanzhou University
    Lanzhou Jiaotong University)

  • W. T. Li

    (Lanzhou University)

Abstract

In this paper, the controllability of second-order differential and integro-differential inclusions in Banach spaces are investigated. Two new results are obtained by using the theory of strongly continuous cosine families and a fixed point theorem for multivalued maps.

Suggested Citation

  • Y. K. Chang & W. T. Li, 2006. "Controllability of Second-Order Differential and Integro-Differential Inclusions in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 129(1), pages 77-87, April.
    • Handle: RePEc:spr:joptap:v:129:y:2006:i:1:d:10.1007_s10957-006-9044-5
    DOI: 10.1007/s10957-006-9044-5
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    References listed on IDEAS

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    1. M. Benchohra & S. K. Ntouyas, 2000. "Controllability of Second-Order Differential Inclusions in Banach Spaces with Nonlocal Conditions," Journal of Optimization Theory and Applications, Springer, vol. 107(3), pages 559-571, December.
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    Cited by:

    1. 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.
    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. Elimhan N. Mahmudov, 2018. "Optimization of Mayer Problem with Sturm–Liouville-Type Differential Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 177(2), pages 345-375, May.
    4. Elimhan N. Mahmudov, 2022. "Optimization of Higher-Order Differential Inclusions with Special Boundary Value Conditions," Journal of Optimization Theory and Applications, Springer, vol. 192(1), pages 36-55, January.

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