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.

引用

页码：81 / 94

页数：14