BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=|u|p

doi:10.1016/S0252-9602(07)60070-8

数学物理学报(英文版)

BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=|u|^p

李明融

Department of Mathematics, National Chengchi University, Taipei, Taiwan, China

收稿日期:2006-02-21 修回日期:1900-01-01 出版日期:2007-10-20 发布日期:2007-10-20
通讯作者: 李明融
基金资助:
This work is financed by NSC grant 87-2115-M-004-001 and Grand Hall Company.

BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=|u|^p

Li Mengrong

Department of Mathematics, National Chengchi University, Taipei, Taiwan, China

Received:2006-02-21 Revised:1900-01-01 Online:2007-10-20 Published:2007-10-20
Contact: Li Mengrong

摘要/Abstract

摘要：

In this article the author works with the ordinary differential equation
u''=|u|^pfor some p>0 and obtains some interesting phenomena
concerning blow-up, blow-up rate, life-span, stability, instability, zeros and
critical points of solutions to this equation.

关键词: Estimate, life-span, blow-up, blow-up rate, stability

Abstract:

Key words: Estimate, life-span, blow-up, blow-up rate, stability

中图分类号:

34-02

李明融. BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=|u|^p[J]. 数学物理学报(英文版), 2007, 27(4): 703-734.

Li Mengrong. BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=|u|^p[J]. Acta mathematica scientia,Series B, 2007, 27(4): 703-734.

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BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=|u|^p

BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=|u|^p

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