EXISTENCE AND STABILITY RESULTS OF NONLINEAR HIGHER-ORDER WAVE EQUATION WITH A NONLINEAR SOURCE TERM AND A DELAY TERM

被引：0
|
作者：
Abdelli, Mama [1 ]
Beniani, Abderrahmane [2 ]
Mezouar, Nadia [1 ]
Chahtou, Ahmed [1 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab ACEDP, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Univ Ain Temouchent BELHADJ Bouchaib, Dept Math, EDPs Anal & Control Lab, BP 284, Ain Temouchent 46000, Algeria
来源：
MATHEMATICA BOHEMICA | 2023年 / 148卷 / 01期
关键词：
nonlinear higher-order hyperbolic equation; nonlinear source term; global existence; CLASSICAL-SOLUTIONS; INSTABILITY; BOUNDARY;
D O I：
10.21136/MB.2022.0141-20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with Faedo-Galarkin method. We also established the asymptotic behavior of global solutions as t -> infinity by applying the Lyapunov method.
引用
收藏
页码：11 / 34
页数：24
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