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

Object's details: Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms

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Provider:Akademicka Platforma Czasopism

Description

Title:
Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms
Creator:
Mezouar, Nadia;
Boulaaras, Salah
Description:
In this paper, a singular one-dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition and damping terms is considered. We prove the existence of a global solution using the potential-well theory. Furthermore, by constructing Lyapunov functional combined with the perturbed energy method, the general decay result is proved.
Object availability:
free access
Rights:
Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
Date:
2020.06.07
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 56, No 1 (September 2020); 283 - 312;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.014/25798 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2020.014/25799
Subject:
Viscoelastic equations;
global existence;
general decay;
damping terms;
Primary;
35L35;
35L20;
Secondary;
46E25;
20C20
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.014
Data provider:
Akademicka Platforma Czasopism

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