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General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms
Journal article   Peer reviewed

General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms

Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane and Said Beloul
Mathematical methods in the applied sciences, Vol.44(7), pp.5436-5457
15/05/2021
DOI: https://doi.org/10.1002/mma.7121

Abstract

distributed delay term exponential decay global existence intrinsic decay rates
In this paper, we consider a nonlinear viscoelastic Kirchhoff equation with the presence of both distributed delay term, Balakrishnan‐Taylor damping, and logarithmic nonlinearity. We describe a exponential decay of solutions, and we obtained the asymptotic stability result of the global solution. This study is a continuation of Boulaaras's works (Math. Meth. Appl. Sci. 2019;42:4795– 4814 and Alex. Eng. J. 2020;59:1059–1071)

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