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Remarks on a Wave Equation with Viscoelastic Term and Logarithmic Source

We are concerned with an initial boundary value problem of a class of damped wave equation with a viscoelastic term and logarithmic source. For a suitable relaxation function g ( t ), and when the initial data is contained within the stable set, we prove the ...
Zijian Du, Shubin Wang, Xiao Su
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Some existence results for a new class of elliptic Kirchhoff equation with logarithmic source terms

Journal of Intelligent & Fuzzy Systems, 2019
 In this paper, some new existence results of elliptic equation of Kirchhoff-type with changing sign data and logarithmic source terms are proved, by using three different methods: direct variational method, Galerkin approach and sub-super solutions method. Our study is natural extensions from the previous recent works in [
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Blow-up for coupled nonlinear wave equations with fractional damping and logarithmic source terms

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saleh Fahad Aljurbua   +3 more
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Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms

Mathematical Methods in the Applied Sciences, 2020
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.
Abdelbaki Choucha   +2 more
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Decay estimates for a plate equation with supercritical damping and a logarithmic source term

In this paper, a plate equation involving supercritical damping and a logarithmic source term is considered. It is evident that the energy of the solution exhibits exponential decay in the linear case, with polynomial decay occurring in the subcritical case.
Xiaolei Li, ShuKe Xiao, Bin Guo
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A well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms

Applicable Analysis, 2019
This paper describes a well-posedness and exponential decay of solutions for a coupled Lame system with viscoelastic term and logarithmic source terms, where an asymptotic stability result of globa...
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General Stability and Exponential Growth for a Class of Semi-linear Wave Equations with Logarithmic Source and Memory Terms

Applied Mathematics & Optimization, 2018
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Stability Results for a System of Nonlinear Viscoelastic Plate Equations with Nonlinear Frictional Damping and Logarithmic Source Terms

Journal of Dynamical and Control Systems
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