Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term-Reference-Cited by-同舟云学术

Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term

Published:2021-02-15 Issue: Volume:2021 Page:1-18
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,Allahem Ali⁵^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, ArRass, Qassim University, Saudi Arabia

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

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

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

Abstract

In this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms. The existence of a global solution is established by the theory of potential well, and by using the energy method with the function of Lyapunov, we prove the general decay result of our system.

Funder

Qassim University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6683465.pdf

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