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Mathematical Methods in the Applied Sciences
Article . 2020 . Peer-reviewed
License: Wiley Online Library User Agreement
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2021
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Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms

Authors: Abdelbaki Choucha; Salah Boulaaras; Djamel Ouchenane;

Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms

Abstract

In this paper, we consider a coupled Lame system with the presence of distributed delay term, viscoelastic, and logarithmic source terms. We describe an exponential decay of solutions, where an asymptotic stability result of global solution is obtained. This study is an extension to Boulaaras' work in Applicable Analysis (2019), 1–19.

Keywords

Asymptotic stability in control theory, viscoelastic term, Second-order semilinear hyperbolic equations, Lame system, Asymptotic behavior of solutions to PDEs, Linear constitutive equations for materials with memory, exponential decay, distributed delay term, coupled system, Initial-boundary value problems for second-order hyperbolic systems

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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!
16
Top 10%
Top 10%
Top 10%
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