Energy decay of solution for nonlinear delayed transmission problem-Reference-Cited by-同舟云学术

Energy decay of solution for nonlinear delayed transmission problem

Published:2023 Issue:6 Volume:8 Page:13815-13829
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Moumen Abdelkader¹,Beniani Abderrahmane²,Alraqad Tariq¹,Saber Hicham¹,Ali Ekram. E.¹,Bouhali Keltoum³⁴,Zennir Khaled³⁵

Affiliation:

1. Department of Mathematics, Faculty of Sciences, University of Ha'il, Ha'il 55425, Saudi Arabia

2. Laboratory ACEDP, Center University of Belhadj Bouchaib, Ain Temouchent 46000, Algeria

3. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia

4. Departement de Mathématiques, Faculté des sciences, Université 20 A\^out 1955, Skikda, Algérie

5. Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945- Guelma, Guelma 24000, Algeria

Abstract

<abstract><p>In this work, we consider a nonlinear transmission problem in the bounded domain with a delay term in the first equation. Under conditions on the weight of the damping and the weight of the delay, we prove general stability estimates by introducing a suitable Lyapunov functional and using the properties of convex functions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

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