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

页码：749 / 777

页数：29

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