Abstract
In this paper, we consider a viscoelastic plate equation with a velocity-dependent material density and a logarithmic nonlinearity. Using the Faedo-Galaerkin approximations and the multiplier method, we establish the existence of the solutions of the problem and we prove an explicit and general decay rate result. These results extend and improve many results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 50-74 |
| Number of pages | 25 |
| Journal | Applicable Analysis |
| Volume | 99 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2 Jan 2020 |
Bibliographical note
Publisher Copyright:© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- 35B35
- 35L55
- 74D10
- 75D05
- 93D20
- Asymptotic stability
- logarithmic nonlinearity
- plate equation
- viscoelastic
ASJC Scopus subject areas
- Analysis
- Applied Mathematics