Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms-Reference-Cited by-同舟云学术

Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms

Published:2020-11-12 Issue: Volume:2020 Page:1-14
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Doudi Nadjat¹,Boulaaras Salah Mahmoud²³^ORCID,Alghamdi Ahmad Mohammed⁴^ORCID,Cherif Bahri²

Affiliation:

1. Laboratory of Applied Mathematics, “LMA” Mohamed Khider University, Box. 145 rp, 07000 Biskra, Algeria

2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Ras, Buraidah, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria

4. Department of Mathematical Sciences, College of Applied Science, Umm Al-Qura University, Makkah, Saudi Arabia

Abstract

In this paper, we prove a general energy decay results of a coupled Lamé system with distributed time delay. By assuming a more general of relaxation functions and using some properties of convex functions, we establish the general energy decay results to the system by using an appropriate Lyapunov functional.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/8879366.pdf

Reference21 articles.

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3. Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms

4. Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms

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