A BLOW-UP RESULT TO A DELAYED CAUCHY VISCOELASTIC PROBLEM

被引：3
|
作者：
Kafini, Mohammad [1 ]
Mustafa, Muhammad I. [2 ]
机构：
[1] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2018年 / 30卷 / 01期
关键词：
Blow up; Cauchy problem; delay time; relaxation function; viscoelastic; NONLINEAR-WAVE EQUATION; GLOBAL NONEXISTENCE THEOREMS; LINEAR EVOLUTION-EQUATIONS; POSITIVE-INITIAL-ENERGY; TIME-VARYING DELAY; SOURCE TERMS; STABILITY; EXISTENCE; BOUNDARY; STABILIZATION;
D O I：
10.1216/JIE-2018-30-1-81
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a Cauchy problem for a nonlinear viscoelastic equation with delay. Under suitable conditions on the initial data and the relaxation function, in the whole space, we prove a finite-time blow-up result.
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页码：81 / 94
页数：14
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