2020•Mathematical Methods in the Applied SciencesRequires access

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

Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane

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.

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Key concepts: Exponential stability, Logarithm, Mathematics, Viscoelasticity, Exponential decay, Exponential function, Extension (predicate logic), Term (time)