WELL-POSEDNESS AND EXPONENTIAL DECAY FOR PIEZOELECTRIC BEAMS WITH DISTRIBUTED DELAY TERM

被引：0

作者：

Loucif, Sami ^{[1
]}

Guefaifia, Rafik ^{[1
]}

Zitouni, Salah ^{[2
]}

Ardjouni, Abdelouaheb ^{[2
]}

机构：

[1] Larbi Tebessi Univ, Dept Math & Comp Sci, Lab Math Informat & Syst LAMIS, Tebessa, Algeria

[2] Univ Souk Ahras, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2024年 / 91卷

关键词：

Piezoelectric beams; distributed delay; semigroup theory; energy expression; Lyapunov functional; exponential stability; STABILIZATION; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a one-dimensional system of piezoelectric beams with distributed delay in the mechanical equation. We first prove the well-posedness of the system by using the semigroup theory. Next, we find the energy expression related to this system, and by using the technique of Lyapunov functional, we demonstrate that this system is exponentially stable and is independent of any coefficient of the system.

引用

页码：85 / 104

页数：20

共 21 条

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