Blow-up solutions of nonlinear differential equations

被引：0

作者：

Chen, YC ^{[1
]}

Tsai, LY ^{[1
]}

机构：

[1] Natl Chengchi Univ, Dept Math Sci, Taipei 116, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 169卷 / 01期

关键词：

blow-up solution; global solution;

D O I：

10.1016/j.amc.2004.09.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial value problems for second order nonlinear differential equations of the form (vertical bar u'vertical bar(m-2)u')' = u(p) and the system u(i)'' = f(i) (u(1), u(2)), i= 1, 2. By using the energy method, some blow-up properties Such as the life span, blow-up rates and blow-up constants are given and the asymptotic behavior of the global solution is also discussed. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：366 / 387

页数：22

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