Polynomial stabilization of the wave equation with a time varying delay term in the dynamical control

被引：0

作者：

Saba, Desire ^{[1
]}

Bayili, Gilbert ^{[1
]}

Nicaise, Serge ^{[2
,3
]}

机构：

[1] Univ Joseph KI Zerbo, Ecole Doctorale Sci & Technol, Lab Math et Informat LAMI, Ouagadougou, Burkina Faso

[2] Univ Polytech Hauts De France, CERAMATHS, DMATHS, F-59313 Valenciennes 9, France

[3] Univ Polytech Hauts De France, FR CNRS 2037, F-59313 Valenciennes 9, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 538卷 / 01期

关键词：

Dynamical control; Stability; Time varying delay; BOUNDARY FEEDBACK STABILIZATION; EXPONENTIAL STABILITY; RESPECT;

D O I：

10.1016/j.jmaa.2024.128441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the one-dimensional wave equation with a time-varying delay term in the dynamical control. Under suitable assumptions, we show the well posedness of the problem. These results are obtained by using semi-group theory. Combining the multiplier method with a non linear integral inequality, a rational energy decay result of the system is established. A fundamental aspect of this paper is that our involved operator is time dependent, therefore the standard frequential method cannot be invoked. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：18

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