Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term

被引：8

作者：

Choucha, Abdelbaki ^{[1
]}

Boulaaras, Salah Mahmoud ^{[2
,3
]}

Ouchenane, Djamel ^{[4
]}

Allahem, Ali ^{[5
]}

机构：

[1] Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, El Oued, Algeria

[2] Qassim Univ, ArRass, Coll Arts & Sci, Dept Math, Buraydah, Saudi Arabia

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

[4] Amar Telidji Laghouat Univ, Lab Pure & Appl Math, Laghouat, Algeria

[5] Qassim Univ, Coll Sci, Dept Math, Buraydah, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

SYSTEM; FUNCTIONALS; MINIMIZERS; REGULARITY; DECAY;

D O I：

10.1155/2021/6683465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms. The existence of a global solution is established by the theory of potential well, and by using the energy method with the function of Lyapunov, we prove the general decay result of our system.

引用

页数：18

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