Exponential stability for porous system of thermoelasticity-type III with past history and distributed delay term-Reference-Cited by-同舟云学术

Exponential stability for porous system of thermoelasticity-type III with past history and distributed delay term

Published:2023-08-01 Issue:09 Volume:16 Page:
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Ouchenane Djamel¹,Bouzettouta Lamine²,Hebhoub Fahima²,Yazid Fares³

Affiliation:

1. Laboratory of Pure and Applied Mathematics, Amar Telidji University Laghouat, Algeria

2. Laboratory of Applied Mathematics, and History and Didactics of Mathematics, University of 20 August 1955, Skikda, Algeria

3. Laboratory of Pure and Applied Mathematics, Amar Telidji University, Laghouat, Algeria

Abstract

As a continuity to the study by Ouchenane et al. [On the Porous-elastic system with thermoelasticity of type III and distributed delay: Well-posedness and stability, J. Funct. Spaces (2021) 1–12], we consider a one-dimensional linear thermoelastic system of porous type with past history and distributed delay term. This model deals with dynamics of engineering structures and non-classical problems of mathematical physics. It includes new results and their proofs with a help of the energy method combined with Lyapunov functional, we discuss the stability of system for the case of equal speeds of wave propagation.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557123501607

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