Abstract
We examine a viscoelastic Timoshenko system with infinite memory terms affecting the shear force. We demonstrate that the system remains stable for a wide class of relaxation functions and establish a relationship between the decay rate of the solutions and the growth of g at infinity. We derive a general decay result using the multiplier method with some additional arguments. Our findings expand upon and enhance several previous results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 255-270 |
| Number of pages | 16 |
| Journal | Journal of Integral Equations and Applications |
| Volume | 37 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2025 |
Bibliographical note
Publisher Copyright:© Rocky Mountain Mathematics Consortium.
Keywords
- 35L20
- 45K05
- 93D23
- Timoshenko system
- convexity
- infinite memory
- multiplier method
- stability
ASJC Scopus subject areas
- Numerical Analysis
- Applied Mathematics