Blow-up and asymptotic behavior of solutions to a semilinear integrodifferential system

被引：4

作者：

Chen, Q ^{[1
]}

Xiang, ZY

Mu, CL

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] China W Normal Univ, Dept Math, Nanchong 637002, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2006年 / 5卷 / 03期

关键词：

integrodifferential system; blow-up; blow-up set; asymptotic behavior;

D O I：

10.3934/cpaa.2006.5.435

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the blow-up properties and asymptotic behavior of solutions to a semilinear integrodifferential system with nonlocal reaction terms in space and time. The blow-up conditions are given by a variant of the eigenfunction method combined with new proper-ties on systems of differential inequalities. At the same time, the blow-up set is obtained. For some special cases, the asymptotic behavior of the blow-up solution is precisely characterized.

引用

页码：435 / 446

页数：12

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