IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i3p538-d1041138.html
   My bibliography  Save this article

Energy Decay Estimates of a Timoshenko System with Two Nonlinear Variable Exponent Damping Terms

Author

Listed:
  • Adel M. Al-Mahdi

    (The Preparatory Year Program, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
    The Interdisciplinary Research Center in Construction and Building Materials, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

  • Mohammad M. Al-Gharabli

    (The Preparatory Year Program, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
    The Interdisciplinary Research Center in Construction and Building Materials, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

Abstract

This paper is concerned with the asymptotic behavior of the solution of a Timoshenko system with two nonlinear variable exponent damping terms. We prove that the system is stable under some specific conditions on the variable exponent and the equal wave speeds of propagation. We obtain exponential and polynomial decay results by using the multiplier method, and we prove that one variable damping is enough to have polynomial and exponential decay. We observe that the decay is not necessarily improved if the system has two variable damping terms. Our results built on, developed and generalized some earlier results in the literature.

Suggested Citation

  • Adel M. Al-Mahdi & Mohammad M. Al-Gharabli, 2023. "Energy Decay Estimates of a Timoshenko System with Two Nonlinear Variable Exponent Damping Terms," Mathematics, MDPI, vol. 11(3), pages 1-19, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:538-:d:1041138
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/3/538/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/3/538/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:3:p:538-:d:1041138. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.