边界控制下具有时滞的Kirchhoff板方程的稳定性和不稳定性

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-10-16 DOI:10.58997/ejde.2023.68

Haidar Badawi, Mohammad Akil, Zayd Hajjej

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引用次数: 0

摘要

本文考虑了具有时滞项的Kirchhoff板方程的边界控制问题。我们给出了一些时滞选择下系统的不稳定性例子。最后，我们证明了它在乘数几何控制条件下的适定性、强稳定性和指数稳定性。欲了解更多信息，请参阅https://ejde.math.txstate.edu/Volumes/2023/68/abstr.html

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability and instability of Kirchhoff plate equations with delay on the boundary control

In this article, we consider the Kirchhoff plate equation with delay terms on the boundary control. We give instability examples of systems for some choices of delays. Finally, we prove its well-posedness, strong stability, and exponential stability under a multiplier geometric control condition. Foro more information see https://ejde.math.txstate.edu/Volumes/2023/68/abstr.html

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.