Abstract
In this paper, we consider a system of nonlinear viscoelastic plate equations with nonlinear frictional damping and logarithmic source terms and investigate the interaction between a viscoelastic damping and a nonlinear frictional damping. Under general assumptions on the relaxation function and the nonlinear feedback, we establish explicit formulae for the energy decay rates of this system. Our results substantially improve some earlier related results in the literature.
| Original language | English |
|---|---|
| Article number | 3 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 30 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2024 |
Bibliographical note
Publisher Copyright:© 2024, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Logarithmic nonlinearity
- Multiplier method
- Plate equations
- Relaxation function
- Stability
- Viscoelastic
ASJC Scopus subject areas
- Control and Systems Engineering
- Algebra and Number Theory
- Numerical Analysis
- Control and Optimization