数学物理学报(英文版)

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

李明融   

  1. 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   

  1. 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:

In this article the author works with the ordinary differential equation
u''=|u|p for 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:

In this article the author works with the ordinary differential equation
u''=|u|p for 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.

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

中图分类号: 

  • 34-02