Well-posedness and exponential stability for the logarithmic Lame system with a time delay

被引：6
作者：
Yuksekkaya, Hazal [1 ]
Piskin, Erhan [1 ]
Kafini, Mohammad M. [2 ,4 ]
Al-Mahdi, Adel M. [3 ,4 ]
机构：
[1] Dicle Univ, Dept Math, Diyarbakir, Turkiye
[2] King Fahd Univ Petr & Minerals, Dept Math, Dhahran, Saudi Arabia
[3] King Fahd Univ Petr & Minerals, Preparatory Year Program, Dhahran, Saudi Arabia
[4] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Construction & Bldg Mat, Dhahran, Saudi Arabia
来源：
APPLICABLE ANALYSIS | 2024年 / 103卷 / 02期
关键词：
M; Mei; Logarithmic Lame system; global existence; exponential stability; delay term; WAVE-EQUATION; GLOBAL EXISTENCE; TERM; NONEXISTENCE; INSTABILITY; BOUNDARY;
D O I：
10.1080/00036811.2023.2196993
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the initial-boundary value problem for a logarithmic Lame system with a time delay in a bounded domain. We prove the well-posedness of the system by utilizing the semigroup theory. Then, we prove the existence of global solutions by using the well-depth method. In addition, we establish an exponential stability decay result under appropriate assumptions on the weight of the time delay and that of frictional damping.
引用
收藏
页码：506 / 518
页数：13
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