WELL-POSEDNESS AND EXPONENTIAL DECAY OF SOLUTIONS FOR A TRANSMISSION PROBLEM WITH DISTRIBUTED DELAY

被引：1
|
作者：
Liu, Gongwei [1 ]
机构：
[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
WAVE-EQUATION; TIME DELAYS; STABILITY; BOUNDARY; STABILIZATION; SYSTEMS; TERM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider a transmission problem in a bounded domain with a distributed delay in the first equation. Using a semigroup theorem, we prove the existence and uniqueness of global solution under suitable assumptions on the weight of damping and the weight of distributed delay. Also we establish the exponential stability of the solution by introducing a suitable Lyapunov functional.
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页数：13
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