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

被引：4

作者：

Boulaaras, Salah Mahmoud ^{[1
,2
]}

Guefaifia, Rafik ^{[3
]}

Mezouar, Nadia ^{[4
]}

Alghamdi, Ahmad Mohammed ^{[5
]}

机构：

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

[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Algeria

[3] Univ Tebessa, Dept Math, Coll Exact Sci, Tebessa 12002, Algeria

[4] Mascara Univ, Fac Econ, Mascara, Algeria

[5] Umm Al Qura Univ, Coll Appl Sci, Dept Math Sci, Mecca, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

关键词：

D O I：

10.1155/2020/5085101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：15

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