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Stabilization of a type III thermoelastic Timoshenko system in the presence of a time‐distributed delay
Author(s) -
Fareh Abdelfeteh,
Messaoudi Salim A.
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500203
Subject(s) - thermoelastic damping , mathematics , type (biology) , exponential stability , stability (learning theory) , control theory (sociology) , exponential function , mathematical analysis , exponential decay , physics , computer science , thermal , thermodynamics , quantum mechanics , geology , paleontology , control (management) , nonlinear system , machine learning , artificial intelligence
In this paper, we investigate a Timoshenko‐type system of thermoelasticity of type III in the presence of a distributed delay. We prove the well‐posedness and two exponential stability results in the presence as well as in the absence of an extra frictional damping. In case of absence of the frictional damping, our stability result is obtained under the equal‐speed of propagation and a smallness condition on the weight of delay.