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

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Technology, Zhengzhou 450001, China

2 Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia

3 Laboratoire de Mathematiques Appliquees et de Modelisation, Universite 8 Mai 1945 Guelma. B.P. 401 Guelma 24000 Algerie

Abstract

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.

Keywords

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Volume 13, Issue 2
July 2022
Pages 1505-1512
  • Receive Date: 01 April 2021
  • Revise Date: 30 May 2021
  • Accept Date: 12 June 2021