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Global existence and asymptotic behavior for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, distributed delay and Balakrishnan-Taylor damping terms
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Global existence and asymptotic behavior for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, distributed delay and Balakrishnan-Taylor damping terms

Abdelbaki Choucha, Salah Boulaaras, Asma Alharbi and Department of Mathematics, Faculty of Sciences, Amar Teledji Laghouat University, Algeria
AIMS mathematics, Vol.7(3), pp.4517-4539
01/01/2022
DOI: https://doi.org/10.3934/math.2022252

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, Balakrishnan-Taylor damping, dispersion and distributed delay terms is studied. We establish the global existence of the solutions of the problem and by the energy method we prove an explicit and general decay rate result under suitable hypothesis.
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https://doi.org/10.3934/math.2022252View
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