A Blow-Up Result in a Nonlinear Wave Equation with Delay

被引：38

作者：

Kafini, Mohammad ^{[1
]}

Messaoudi, Salim A. ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 01期

关键词：

Nonlinear source; delay time; wave system; blowup; GLOBAL NONEXISTENCE THEOREMS; EVOLUTION-EQUATIONS; CAUCHY-PROBLEM; INITIAL-ENERGY; BOUNDARY; STABILITY; EXISTENCE; STABILIZATION; INSTABILITY; SYSTEMS;

D O I：

10.1007/s00009-014-0500-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear wave equation with delay. We show that under suitable conditions on the initial data, the weights of the damping, the delay term and the nonlinear source, the energy of solutions blows up in a finite time.

引用

页码：237 / 247

页数：11

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