Abstract
In this paper, we consider a Timoshenko system in the presence of an infinite memory, where the relaxation function satisfies a relation of the form g′(t)≤-ξ(t)g(t), ∀t ∈ ℝ+. Under the same hypothesis on g and ξ imposed for the finite memory case, we establish some general decay results for the equal and nonequal speed propagation cases. Our results improve in some situations some known decay rates. Also, some applications to other problems are discussed.
Original language | English |
---|---|
Pages (from-to) | 384-392 |
Number of pages | 9 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 37 |
Issue number | 3 |
DOIs | |
State | Published - Feb 2014 |
Keywords
- Timoshenko system
- general decay
- relaxation function
- stability
- viscoelasticity
ASJC Scopus subject areas
- General Mathematics
- General Engineering