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

نویسندگان

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

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

doi
10.22075/ijnaa.2021.23030.2462
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.