Abstract
In this research work, we consider a viscoelastic plate equation with past history and nonlinear logarithmic term with a conditions on the relaxation function g, namely, g'(t)=q-xi(t)gp(t),t =q 0,quad 1=q p < 2 where ? is a nonincreasing function. With this assumption on the behavior of g at infinity, we establish a general energy decay result by using the multiplier method and some logarithmic inequalities. Furthermore, we drop the boundedness assumptions on the history data considered in the literature.
| Original language | English |
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| Title of host publication | Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 52-57 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781728165035 |
| DOIs | |
| State | Published - Jul 2020 |
Publication series
| Name | Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 |
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Bibliographical note
Publisher Copyright:© 2020 IEEE.
Keywords
- energy decay
- logarithmic Sobolev inequalities
- plate equation
- relaxation functions
ASJC Scopus subject areas
- Computer Science Applications
- Computer Vision and Pattern Recognition
- Information Systems
- Electrical and Electronic Engineering
- Computational Mathematics
- Artificial Intelligence
- Computer Networks and Communications