IDEAS home Printed from https://ideas.repec.org/a/spr/jglopt/v56y2013i2p317-326.html
   My bibliography  Save this article

Exact null controllability of semilinear evolution systems

Author

Listed:
  • Nazim Mahmudov

Abstract

We study the exact null controllability for the abstract evolution equations in Hilbert spaces. Assuming the exact null controllability of the corresponding linearized equation we obtain sufficient conditions for the exact null controllability of the semilinear evolution equation. The results we obtained are generalization and continuation of the recent results on this issue. In the end, an example is given to show the application of our result. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Nazim Mahmudov, 2013. "Exact null controllability of semilinear evolution systems," Journal of Global Optimization, Springer, vol. 56(2), pages 317-326, June.
    • Handle: RePEc:spr:jglopt:v:56:y:2013:i:2:p:317-326
    DOI: 10.1007/s10898-011-9823-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10898-011-9823-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10898-011-9823-x?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. X. Zhang, 2000. "Exact Controllability of Semilinear Evolution Systems and Its Application," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 415-432, November.
    Full references (including those not matched with items on IDEAS)

    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. Tajani, Asmae & El Alaoui, Fatima-Zahrae & Boutoulout, Ali, 2022. "Regional boundary controllability of semilinear subdiffusion Caputo fractional systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 481-496.
    2. B. Radhakrishnan & K. Balachandran, 2012. "Controllability of Neutral Evolution Integrodifferential Systems with State Dependent Delay," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 85-97, April.
    3. Dimplekumar Chalishajar & Annamalai Anguraj & Kandasamy Malar & Kulandhivel Karthikeyan, 2016. "A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces," Mathematics, MDPI, vol. 4(4), pages 1-16, October.
    4. B. Liu, 2004. "Controllability of Nonlinear Neutral Evolution Integrodifferential Systems with Infinite Delay," Journal of Optimization Theory and Applications, Springer, vol. 122(1), pages 87-109, July.
    5. J. P. Dauer & N. I. Mahmudov, 2004. "Controllability of Some Nonlinear Systems in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 319-329, November.

    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:jglopt:v:56:y:2013:i:2:p:317-326. 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.