IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v109y2001i1d10.1023_a1017561821201.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1017561821201
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1017561821201?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    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. 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.
    4. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:109:y:2001:i:1:d:10.1023_a:1017561821201. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.