Well posedness and exponential stability in a wave equation with a strong damping and a strong delay

被引：40

作者：

Messaoudi, Salim A. ^{[1
]}

Fareh, Abdelfeteh ^{[2
]}

Doudi, Nadjet ^{[2
]}

机构：

[1] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Univ Echahid Hamma Lakhdar, Fac Sci Exactes, Dept Math, Lab Theorie Operateurs & EDP Fondements & Applica, POB 789, El Oued, Algeria

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 11期

关键词：

TIMOSHENKO SYSTEM; ENERGY DECAY; BOUNDARY; INSTABILITY; TERM;

D O I：

10.1063/1.4966551

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider a wave equation with a strong damping and a strong constant (respectively, distributed) delay. We prove the well-posedness and establish an exponential decay result under a suitable assumption on the weight of the damping and the weight of the delay. Published by AIP Publishing.

引用

页数：13

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