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Controllability of Second-Order Differential Inclusions in Banach Spaces with Nonlocal Conditions

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 ofsecond-order differential inclusions in Banach spaces with nonlocalconditions. We rely on a fixed-point theorem for condensing maps due toMartelli.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:107:y:2000:i:3:d:10.1023_a:1026447232030
    DOI: 10.1023/A:1026447232030
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    Citations

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    Cited by:

    1. M. Guo & X. Xue & R. Li, 2004. "Controllability of Impulsive Evolution Inclusions with Nonlocal Conditions," Journal of Optimization Theory and Applications, Springer, vol. 120(2), pages 355-374, February.
    2. 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.
    3. Ali Rezaiguia & Smail Kelaiaia, 2018. "Existence of Solution, Filippov’s Theorem and Compactness of the Set of Solutions for a Third-Order Differential Inclusion with Three- Point Boundary Conditions," Mathematics, MDPI, vol. 6(3), pages 1-12, March.
    4. 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.
    5. Li, Meili & Wang, Miansen & Zhang, Fengqin, 2006. "Controllability of impulsive functional differential systems in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 175-181.

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