Energy decay rate of solutions for a plate equation with nonlocal source and singular nonlocal damping terms

	Energy decay rate of solutions for a plate equation with nonlocal source and singular nonlocal damping terms
International Journal of Nonlinear Analysis and Applications
مقاله 122، دوره 13، شماره 2، مهر 2022، صفحه 1505-1512 اصل مقاله (331.21 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23030.2462
نویسندگان
Hongwei Zhang^* ¹؛ Donghao Li¹؛ Shuo Liu¹؛ Khaled Zennir²^{، 3}
¹Department of Mathematics, University of Technology, Zhengzhou 450001, China
²Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia
³Laboratoire de Mathematiques Appliquees et de Modelisation, Universite 8 Mai 1945 Guelma. B.P. 401 Guelma 24000 Algerie
چکیده
The initial-boundary value problem for a plate equation with a nonlocal source and singular nonlocal damping terms is considered. By using the multiplier method and weighted integral inequalities, we prove that the energy decays exponentially when the damping term has a certain singular nonlinearity. The results of this paper improve the earlier results.
کلیدواژه‌ها
plate equation؛ energy decay؛ singular nonlocal damping؛ nonlocal nonlinear source
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