Global existence and decay of solutions of a singular nonlocal viscoelastic system

被引：0
作者：
Alaeddin Draifia
Abderrahmane Zarai
Salah Boulaaras
机构：
[1] Larbi Tebessi University,Laboratory of Mathematics, Informatics and Systems (LAMIS), Department of Mathematics and Computer Science
[2] Qassim University,Department of Mathematics, College of Sciences and Arts, Al
[3] University of Oran 1,Rass
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2020年 / 69卷
关键词：
Viscoelastic equations; Global existence; General decay; 35L35; 35L20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we consider a singular one-dimensional viscoelastic system with a nonlinear source term and nonlocal boundary condition. By using the potential well theory we obtain the existence of a global solution. Then, we prove the general decay result, by constructing Lyapunov functional and using the perturbed energy method.
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页码：125 / 149
页数：24
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