Haidar Badawi, Mohammad Akil, Zayd Hajjej
Abstract:
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.
Submitted April 18, 2023. Published October 16, 2023.
Math Subject Classifications: 74K20, 47D60, 90C31, 93D15, 93D20, 35B35, 35B40, 93C80, 93C43.
Key Words: Kirchhoff plate equation; boundary control; time delay; instability examples; strong stability; exponential stability.
DOI: 10.58997/ejde.2023.68
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Haidar Badawi PDEs with applications in materials sciences and biology Department of Mathematics and Physics Lebanese International University LIU, Beirut, Lebanon email: haidar.badawi@liu.edu.lb |
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Mohammad Akil Univ. Polytechnique Hauts-de-France INSA Hauts-de-France, CERAMATHS Laboratoire de Materiaux Ceramiques et de Mathematiques F-59313 Valenciennes, France email: mohammad.akil@uphf.fr |
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Zayd Hajjej Department of Mathematics College of Science King Saud University P.O. Box 2455, Riyadh 11451, Saudi Arabia email: zhajjej@ksu.edu.sa |
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