EXPONENTIAL STABILITY OF TRANSMISSION PROBLEM IN THERMOELASTIC SYSTEM WITH DISTRIBUTED DELAY

被引：0

作者：

Hu, Meng ^{[1
]}

Ma, Qiaozhen ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2025年 / 18卷 / 07期

关键词：

Thermoelastic system; distributed delay; exponential stability; STABILIZATION; EXISTENCE; DECAY;

D O I：

10.3934/dcdss.2024141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. For a transmission problem between a classical thermoelastic system with a distributed delay and wave equation, under some appropriate assumptions for distributed delay and damping, the well-posedness and exponential stability of the system have been shown by using the semigroup method and the energy method, respectively. Moreover, some Poincare<acute accent>'s inequalities are established to construct a suitable Lyapunov functional, which is an improvement of the results in Mustafa and Kafini [16].

引用

页码：1767 / 1783

页数：17

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