IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v142y2009i2d10.1007_s10957-009-9535-2.html
   My bibliography  Save this article

Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces

Author

Listed:
  • Y. K. Chang

    (Lanzhou Jiaotong University)

  • J. J. Nieto

    (Universidad de Santiago de Compostela)

  • W. S. Li

    (Lanzhou Jiaotong University)

Abstract

In this note, we establish a sufficient condition for the controllability of a first-order semilinear differential system with nonlocal initial conditions in Banach spaces. The approach used is the Sadovskii fixed-point theorem combined with operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article.

Suggested Citation

  • Y. K. Chang & J. J. Nieto & W. S. Li, 2009. "Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 267-273, August.
    • Handle: RePEc:spr:joptap:v:142:y:2009:i:2:d:10.1007_s10957-009-9535-2
    DOI: 10.1007/s10957-009-9535-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-009-9535-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-009-9535-2?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. Chang, Yong-Kui, 2007. "Controllability of impulsive functional differential systems with infinite delay in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1601-1609.
    2. 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.
    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. Arora, Urvashi & Sukavanam, N., 2015. "Approximate controllability of second order semilinear stochastic system with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 111-119.
    2. Cao, Yueju & Sun, Jitao, 2017. "Controllability of measure driven evolution systems with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 119-126.

    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. 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. Chang, Yong-Kui & Anguraj, A. & Mallika Arjunan, M., 2009. "Controllability of impulsive neutral functional differential inclusions with infinite delay in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1864-1876.
    3. Subalakshmi, R. & Balachandran, K., 2009. "Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in hilbert spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2035-2046.
    4. Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Nisar, Kottakkaran Sooppy & Shukla, Anurag, 2022. "A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    5. Raja, M. Mohan & Vijayakumar, V. & Udhayakumar, R., 2020. "Results on the existence and controllability of fractional integro-differential system of order 1 < r < 2 via measure of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    6. Chang, Yong-Kui, 2007. "Controllability of impulsive functional differential systems with infinite delay in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1601-1609.
    7. Raja, M. Mohan & Vijayakumar, V. & Udhayakumar, R., 2020. "A new approach on approximate controllability of fractional evolution inclusions of order 1 < r < 2 with infinite delay," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    8. Cao, Jianxin & Luo, Yiping & Liu, Guanghui, 2016. "Some results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spaces," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 237-257.
    9. Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Shukla, Anurag & Nisar, Kottakkaran Sooppy, 2021. "A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1,2) with delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    10. Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Nisar, Kottakkaran Sooppy & Shukla, Anurag, 2021. "A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1003-1026.
    11. Vijayakumar, V. & Udhayakumar, R., 2020. "Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

    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:142:y:2009:i:2:d:10.1007_s10957-009-9535-2. 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.