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- Title
Asymptotic stability of thermoelasticity type III with delay term and infinite memory.
- Authors
MESSAOUDI, SALIM A.; APALARA, TIJANI A.
- Abstract
In this article, we study the asymptotic behaviour of a thermoelastic system of type III with infinite memory and internal delay. Under suitable assumptions on the weight of the delay term, we prove the well-posedness of the system. Furthermore, for a wide class of relaxation functions, we use the multiplier method and a convexity argument to establish a stability result of the system.
- Subjects
ASYMPTOTIC expansions; THERMOELASTICITY; MATHEMATICAL models of viscoelasticity; MULTIPLIERS (Mathematical analysis); TIME delay systems; MATHEMATICAL models
- Publication
IMA Journal of Mathematical Control & Information, 2015, Vol 32, Issue 1, p75
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnt024