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

页码：506 / 518

页数：13

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