Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 34-02
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