On the Global Behaviour of Solutions for a Delayed Viscoelastic-Type Petrovesky Wave Equation with p-Laplacian Operator and Logarithmic Source

被引：6

作者：

Belhadji, Bochra ^{[1
]}

Alzabut, Jehad ^{[2
,3
]}

Samei, Mohammad Esmael ^{[4
]}

Fatima, Nahid ^{[2
]}

机构：

[1] Univ Ghardaia, Lab Math & Sci Appl, Ghardaia 47000, Algeria

[2] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[3] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkey

[4] Bu Ali Sina Univ, Fac Basic Sci, Dept Math, Hamadan 65178, Hamadan, Iran

来源：

MATHEMATICS | 2022年 / 10卷 / 22期

关键词：

global existence; energy decay; viscoelastic wave equation; strong damping; p-Laplacian; logarithmic nonlinearity; TIME BLOW-UP; STABILITY; EXISTENCE;

D O I：

10.3390/math10224194

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research is concerned with a nonlinear p-Laplacian-type wave equation with a strong damping and logarithmic source term under the null Dirichlet boundary condition. We establish the global existence of the solutions by using the potential well method. Moreover, we prove the stability of the solutions by the Nakao technique. An example with illustrative figures is provided as an application.

引用

页数：39

共 23 条

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