Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized damping term

被引：12

作者：

Boulaaras, Salah ^{[1
,2
]}

Mezouar, Nadia ^{[3
]}

机构：

[1] Qassim Univ, Dept Math, Coll Sci & Arts, Al Rass, Saudi Arabia

[2] Univ Oran, Lab Fundamental & Appl Math Oran LMFAO, Oran, Algeria

[3] Mustapha Stambouli Univ, Fac Econ, Mascara, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 10期

关键词：

damping terms; general decay; global existence; viscoelastic equations; BLOW-UP; EQUATION;

D O I：

10.1002/mma.6361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the existence of a global solution of a singular one-dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized frictional damping a(x)u(t) using the potential well theory. Furthermore, the general decay result is proved. We construct a suitable Lyapunov functional and make use of the perturbed energy method.

引用

页码：6140 / 6164

页数：25

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