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Kragujevac Journal of Mathematics
Article . 2023 . Peer-reviewed
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Article . 2023
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A Stability Result for a Timoshenko System with Infinite History and Distributed Delay Term

A stability result for a Timoshenko system with infinite history and distributed delay term
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2023Publisher:University Library in KragujevacJournal:Kragujevac Journal of Mathematics, volume 47, pages 281-295 (issn: 1450-9628, eissn: 2406-3045, Copyright policy )
Authors: Khalili, Zineb; Ouchenane, Djamel;

doi: 10.46793/kgjmat2302.281k

A Stability Result for a Timoshenko System with Infinite History and Distributed Delay Term

Abstract

This manuscript is mainly focusing on a general stability of solution for one-dimensional Timoshenko system with infinite history and distributed delay term regardless also of the speeds of wave propagation. We prove our result by using the energy method combined with some properties of convex functions.

Keywords

Asymptotic stability in control theory, Asymptotic behavior of solutions to PDEs, distributed delay, energy methode, Timoshenko system, Long-time behavior of solutions for dynamical problems in solid mechanics, infinite history, Stability of dynamical problems in solid mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average