Nonlinear damping piezoelectric beams with past history, thermal and magnetic effects

被引：1

作者：

Messaoudi, Hassan ^{[1
]}

Ardjouni, Abdelouaheb ^{[2
]}

Zitouni, Salah ^{[1
]}

Khochemane, Houssem Eddine ^{[3
]}

机构：

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

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

[3] Ecole normale Super enseignement technol, Azzaba, Skikda, Algeria

来源：

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2024年 / 17卷 / 01期

关键词：

piezoelectric beams; past history; nonlinear damping; general decay; energy method; Lyapunov functional; semi- group approach; TIMOSHENKO SYSTEMS; ENERGY DECAY; STABILITY;

D O I：

10.32513/asetmj/1932200824016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we consider the one-dimensional system of piezoelectric beams with thermal and magnetic effects in the presence of a nonlinear damping term and with infinite history acting on the mechanical equation. Under suitable assumptions on the nonlinear damping term and the kernel, we demonstrate the existence and uniqueness of the solution applying the semigroup theory more precisely by Hille-Yosida theorem. And by introducing a suitable Lyapunov functional and using some properties of convex functions, we show the general stability for the system which the exponential and polynomial decays are merely special cases. Furthermore, our results are independent of any relationship between system parameters.

引用

页码：71 / 94

页数：24

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