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
收藏
页数：15
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