On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay-Reference-Cited by-同舟云学术

On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

Published:2021-03-01 Issue: Volume:2021 Page:1-13
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Choucha Abdelbaki¹,Boulaaras Salah Mahmoud²³^ORCID,Ouchenane Djamel⁴,Alkhalaf Salem⁵,Mekawy Ibrahim²^ORCID,Abdalla Mohamed⁶⁷^ORCID

Affiliation:

1. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued, Algeria

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

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

4. Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria

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

6. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

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

Abstract

This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5577277.pdf

Reference23 articles.

1. Systems of nonlinear wave equations with damping and source terms;K. Agre;Differential and Integral Equations,2006

2. Stability of solutions to nonlinear wave equations with switching time delay

3. Global existence of solutions to a viscoelastic non-degenerate Kirchhoff equation