Polynomial stability of Timoshenko system with strong damping and strong distributed delay terms

Authors

  • Imen Laribi Department of Mathematics, Khemis Miliana University,\\ Laboratory of pure and applied mathematics Laghouat, Khemis Miliana, 44225, Algeria
  • Ali Krelifa University of khemis milinaa
  • Salah Zitouni Laboratory of pure and applied mathematics, Amar Telidji University,\\ Laghouat, 03000, Algeria
  • Djamel Ouchenane Department of Mathematics and Informatics, Mohamed-Cherif Messaadia University,\\ Souk Ahras, 41000, Algeria
  • Salah Boulaaras Department of Mathematics, College of Science, Qassim University,\\ 51452, Buraydah, Saudi Arabia

Abstract

In this research work, we study the linear Timoshenko problem with a strong damping and a strong distributed delay when it acts on the first equation. We first prove the existence and uniqueness of solution of the system by using the semi-group theory. Then, we illustrate the lack of exponential stability even in the condition of equal wave propagation is satisfied. Furthermore, we show the polynomial decay of solution with rate t1/2 . From this perspective, we demonstrate the optimality of the rate

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Published

2025-08-30

Issue

Vol. 32 No. 3 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Imen Laribi, Ali Krelifa, Salah Zitouni, Djamel Ouchenane, Salah Boulaaras

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Polynomial stability of Timoshenko system with strong damping and strong distributed delay terms. (2025). Nonlinear Studies, 32(3), 833-850. https://nonlinearstudies.com/index.php/nonlinear/article/view/3744