General stability for piezoelectric beams with a nonlinear damping term

被引：0
|
作者：
Messaoudi H. [1 ,2 ]
Zitouni S. [2 ]
Khochemane H.E. [3 ]
Ardjouni A. [2 ]
机构：
[1] Laboratory of Informatics and Mathematics, Department of Mathematics and Informatics, University of Souk-Ahras, P.O. Box 1553, Souk Ahras
[2] Department of Mathematics and Informatics, University of Souk-Ahras, P.O. Box 1553, Souk Ahras
[3] Ecole normale supérieure d’enseignement technologique, Skikda, Azzaba
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2023年 / 69卷 / 2期
关键词：
Energy method; General decay; Lyapunov functional; Nonlinear damping; Piezoelectric beams; Semigroup approach;
D O I：
10.1007/s11565-022-00443-4
中图分类号：
学科分类号：
摘要：
In this article, we consider the one-dimensional system of piezoelectric beams with a nonlinear damping term. First, we show the existence and uniqueness of solutions by the semi-group technique more precisely by Hille-Yosida theorem. And by building an appropriate Lyapunov functional, we establish general decay results for the solution of the system whose exponential and polynomial decays are only special cases. Moreover, our results does not depend on any relation between the parameters of the system. © 2022, The Author(s) under exclusive license to Università degli Studi di Ferrara.
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收藏
页码：443 / 462
页数：19
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