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Controllability for an Infinite-Time Horizon of Second-Order Differential Inclusions in Banach Spaces with Nonlocal Conditions

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  • M. Benchohra
  • S. K. Ntouyas

Abstract

In this paper, we establish sufficient conditions for the controllability on semi-infinite intervals of second-order differential inclusions in Banach spaces with nonlocal conditions. We rely on a fixed-point theorem due to Ma, which is an extension to multivalued maps of the Schaefer theorem on locally convex topological spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:109:y:2001:i:1:d:10.1023_a:1017561821201
    DOI: 10.1023/A:1017561821201
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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. 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.
    2. 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.
    3. 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.
    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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