On the wave equation with a temporal non-local term

被引:0
|
作者
Medjden, Mohamed [1 ]
Tatar, Nasser-Eddinne
机构
[1] Univ Sci & Technol, Fac Math, Algiers 16123, Algeria
[2] King Fahd Univ Petr & Minerals, Dept Math, Dhahran 31261, Saudi Arabia
来源
DYNAMIC SYSTEMS AND APPLICATIONS | 2007年 / 16卷 / 04期
关键词
exponential decay; memory term; relaxation function; viscoelasticity;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the asymptotic behavior for an integro-differential equation which appears in viscoelasticity. It is proved that the energy of the system decays exponentially to zero as time goes to infinity provided that the kernel in the memory term is also exponentially decaying. New assumptions are discussed.
引用
收藏
页码:665 / 671
页数:7
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