Global well-posedness and exponential stability results of a class of Bresse-Timoshenko-type systems with distributed delay term

被引：34

作者：

Choucha, Abdelbaki ^{[1
]}

Ouchenane, Djamel ^{[2
]}

Zennir, Khaled ^{[3
]}

Feng, Baowei ^{[4
]}

机构：

[1] Univ El Oued, Fac Exact Sci, Dept Math, El Oued, Algeria

[2] Amar Teledji Univ Laghouat, Lab Pure & Appl Math, Laghouat, Algeria

[3] Qassim Univ, Dept Math, Coll Arts & Sci, Buraydah, Saudi Arabia

[4] SouthWestern Univ Finance & Econ, Dept Econ Math, Chengdu 611130, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Bresse-Timoshenko-type systems; distributed delay term; exponential decay; STABILIZATION; BOUNDARY; EQUATION; BEAM; THERMOELASTICITY;

D O I：

10.1002/mma.6437

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a Bresse-Timoshenko-type system with distributed delay term. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates. By using the energy method, we show two exponential stability results for the system with delay in vertical displacement and in angular rotation, respectively. This extends earlier results in the literature.

引用

页码：10668 / 10693

页数：26

共 26 条

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