Abstract
In this paper we consider a problem which arises in viscoelasticity. We prove an exponential decay of solutions under weaker assumptions than the ones frequently used in the literature. In particular, the kernels we are considering are not necessarily exponentially decaying to zero as was assumed before. The present results improve also a previous work of the authors.
| Original language | English |
|---|---|
| Pages (from-to) | 1221-1235 |
| Number of pages | 15 |
| Journal | Applied Mathematics and Computation |
| Volume | 167 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Aug 2005 |
Bibliographical note
Funding Information:The second author is grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals.
Keywords
- Exponential decay
- Memory term
- Relaxation function
- Viscoelasticity
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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