A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms-Reference-Cited by-同舟云学术

A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms

Published:2021-04-23 Issue: Volume:2021 Page:1-15
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ouchenane Djamel¹,Khalili Zineb¹,Yazid Fares¹,Abdalla Mohamed²³^ORCID,Cherif Bahri Belkacem⁴⁵^ORCID,Mekawy Ibrahim⁵

Affiliation:

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

2. Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia

3. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

4. Preparatory Institute for Engineering Studies in Sfax, Tunisia

5. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

Abstract

We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9962569.pdf

Reference51 articles.

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