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A general stability result in a Timoshenko system with infinite memory: A new approach
Author(s) -
Guesmia Aissa,
Messaoudi Salim A.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2797
Subject(s) - relaxation (psychology) , stability (learning theory) , relation (database) , function (biology) , mathematics , statistical physics , computer science , physics , psychology , neuroscience , database , machine learning , evolutionary biology , biology
In this paper, we consider a Timoshenko system in the presence of an infinite memory, where the relaxation function satisfies a relation of the formg ′( 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. Copyright © 2013 John Wiley & Sons, Ltd.