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

Choucha Abdelbaki | Zendy; Boulaaras Salah | Zendy; Ouchenane Djamel | Zendy; Beloul Said | Zendy

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

Author(s) -

Choucha Abdelbaki,

Boulaaras Salah,

Ouchenane Djamel,

Beloul Said

Publication year - 2020

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.7121

Subject(s) - mathematics , logarithm , nonlinear system , mathematical analysis , taylor series , exponential stability , viscoelasticity , exponential decay , exponential function , continuation , physics , computer science , quantum mechanics , nuclear physics , thermodynamics , programming language

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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