Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks

被引：42

作者：

Feng, Baowei ^{[1
]}

机构：

[1] Southwestern Univ Finance & Econ, Dept Econ Math, Chengdu 611130, Sichuan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 03期

基金：

中国国家自然科学基金;

关键词：

boundary feedbacks; delay; exponential decay; laminated beam; Timoshenko; INTERFACIAL SLIP; STABILITY RESULT; EVOLUTION-EQUATIONS; WAVE-EQUATION; ENERGY DECAY; STABILIZATION; SYSTEM; THERMOELASTICITY; MEMORY; TERM;

D O I：

10.1002/mma.4655

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with laminated beams modeled from the well-established Timoshenko system with time delays and boundary feedbacks. By using semigroup method, we prove the global well-posedness of solutions. Assuming the weights of the delay are small, we establish the exponential decay of energy to the system by using an appropriate Lyapunov functional.

引用

页码：1162 / 1174

页数：13

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