IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v15y2024i3p45.html
   My bibliography  Save this article

Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term

Author

Listed:
  • Innocent OUEDRAOGO
  • Gilbert BAYILI

Abstract

We consider in this manuscript a Timoshenko type beam model with a distributed delay term. If the distributed delay term is small enough, we prove the global existence of solutions by using the Faedo-Galerkin approximations together with some energy estimates. Under suitable assumptions, we prove exponential stability of the solution. This result is obtained by introducing a suitable Lyapounov function.

Suggested Citation

  • Innocent OUEDRAOGO & Gilbert BAYILI, 2024. "Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 15(3), pages 1-45, December.
    • Handle: RePEc:ibn:jmrjnl:v:15:y:2024:i:3:p:45
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/jmr/article/download/0/0/48879/52750
    Download Restriction: no
    File URL: https://ccsenet.org/journal/index.php/jmr/article/view/0/48879
    Download Restriction: no
    ---><---

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    Statistics

    Access and download statistics

    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:ibn:jmrjnl:v:15:y:2024:i:3:p:45. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.