Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms-Reference-Cited by-同舟云学术

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

Published:2020-09-09 Issue: Volume:2020 Page:1-15
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Boulaaras Salah Mahmoud¹²^ORCID,Guefaifia Rafik³,Mezouar Nadia⁴,Alghamdi Ahmad Mohammed⁵

Affiliation:

1. Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Saudi Arabia

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

3. Department of Mathematics, College of Exact Sciences, University of Tebessa, Tebessa 12002, Algeria

4. Mascara University, Faculty of Economics, Mascara, Algeria

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

Abstract

The current paper deals with the proof of a global solution of a viscoelasticity singular one-dimensional system with localized frictional damping and general source terms, taking into consideration nonlocal boundary condition. Moreover, similar to that in Boulaaras’ recent studies by constructing a Lyapunov functional and use it together with the perturbed energy method in order to prove a general decay result.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/5085101.pdf

Reference12 articles.

1. Stepwise Stability for the Heat Equation with a Nonlocal Constraint

2. A parabolic equation with nonlocal boundary conditions arising from electrochemistry

3. TheL 2 solvability of a nonlocal problem with integral conditions for a hyperbolic equation

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