Polynomial stability of nonlinear Timoshenko system with distributed delay-time

Lamine Bouzettouta; Houssem Eddine  Khochemane; Fahima  Hebhoub

doi:10.26637/mjm1202/005

Abstract

In this work, we consider a nonlinear Timoshenko system with distributed delay-time. We prove the polynomial stability of the system for the case of nonequal speeds of wave propagation. This is after verifying the exponential stability in the case of equal speeds.

Keywords:

Porou system, mecrotemperature, distributed delay time, exponential stability, Lyapunov functional.

Mathematics Subject Classification:

35B40, 35L70, 93D15, 93D20, 74F05

Authors Imprint References Funding Related Articles Downloads

Lamine Bouzettouta Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS) University of 20 August 1955, Skikda, Algeria. https://orcid.org/0000-0003-1138-1497
Houssem Eddine Khochemane Eecole Normale Supérieure d'Enseignement Technologique de Skikda https://orcid.org/0000-0001-8631-514X
Fahima Hebhoub University of 20 August 1955, Skikda.

Pages: 193-205
Date Published: 01-04-2024
Vol. 12 No. 02 (2024): Malaya Journal of Matematik (MJM)

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