Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay

被引：18

作者：

Nonato, Carlos ^{[1
]}

Raposo, Carlos ^{[2
]}

Feng, Baowei ^{[3
]}

机构：

[1] Univ Fed Bahia, Dept Math, Salvador, BA, Brazil

[2] Fed Univ Sao del Joao Rei, Dept Math, Sao Joao Del Rei, MG, Brazil

[3] Southwestern Univ Finance & Econ, Dept Econ Math, Chengdu, Peoples R China

来源：

ASYMPTOTIC ANALYSIS | 2022年 / 126卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Laminated beam; time-varying delay; energy method; WAVE-EQUATION; GLOBAL EXISTENCE; WELL-POSEDNESS; STABILIZATION; BOUNDARY; DECAY; SYSTEM; SHEAR;

D O I：

10.3233/ASY-201668

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the well-posedness and asymptotic stability to a thermoelastic laminated beam with nonlinear weights and time-varying delay. To the best of our knowledge, there are no results on the system and related Timoshenko systems with nonlinear weights. On suitable premises about the time delay and the hypothesis of equal-speed wave propagation, existence and uniqueness of solution is obtained by combining semigroup theory with Kato variable norm technique. The exponential stability is proved by energy method in two cases, with and without the structural damping, by using suitably sophisticated estimates for multipliers to construct an appropriated Lyapunov functional.

引用

页码：157 / 185

页数：29

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