Stability results on the Kirchhoff plate equation with delay terms on the dynamical boundary controls

被引:2
|
作者
Akil, Mohammad [1 ]
Badawi, Haidar [1 ]
Nicaise, Serge [1 ]
Wehbe, Ali [2 ]
机构
[1] Univ Polytech Hauts France, CERAMATHS Lab Mat Ceram & Math, INSA Hauts France, F-59313 Valenciennes, France
[2] Lebanese Univ, Khawarizmi Lab Math & Applicat KALMA, Fac Sci 1, Beirut, Lebanon
来源
REVISTA MATEMATICA COMPLUTENSE | 2023年 / 36卷 / 03期
关键词
Kirchhoff plate equation; Dynamcial control; Time delay; Strong stability; Lack of exponential stability; Polynomial stability; TIME DELAYS; DECAY-RATE; RESPECT;
D O I
10.1007/s13163-022-00437-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the Kirchhoff plate equation with delay terms on the dynamical boundary controls. We prove its well-posedness, strong stability, non-exponential stability, and polynomial stability under a multiplier geometric control condition.
引用
收藏
页码:749 / 777
页数:29
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