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

被引：1

作者：

Choucha, Abdelbaki ^{[1
,2
]}

Boulaaras, Salah ^{[3
]}

Alharbi, Asma ^{[3
]}

机构：

[1] Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, El Oued, Algeria

[2] Amar Teledji Laghouat Univ, Fac Sci, Dept Math, Laghouat, Algeria

[3] Qassim Univ, Coll Arts & Sci, Dept Math, Buraydah, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 03期

关键词：

Kirchhoff equation; exponential decay; distributed delay term; viscoelastic term; logarithmic nonlinearity; WAVE-EQUATION; GENERAL DECAY; BOUNDARY;

D O I：

10.3934/math.2022252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：4517 / 4539

页数：23

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