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BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u″=|u|~p 被引量:2

BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u″=|u|~p
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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. 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.
作者 李明融
出处 《Acta Mathematica Scientia》 SCIE CSCD 2007年第4期703-734,共32页 数学物理学报(B辑英文版)
基金 NSC grant 87-2115-M-004-001 Grand Hall Company
关键词 ESTIMATE life-span BLOW-UP blow-up rate STABILITY Estimate, life-span, blow-up, blow-up rate, stability
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参考文献7

  • 1Li M R. Estimates for The Life-span of positive solutions of some semilinear wave equations in 2-dimensional bounded domains □u=up. Proceedings of the Workshop on Differential Equations Ⅶ. pp119-134, May 1999, National Chung-Hsing Uni Taichung, Taiwan
  • 2Li M R. Estimates for The Life-span of Solutions of Semilinear Wave Equations. (CPAA, preprint)
  • 3Li M R, Tsai L Y. Existence and nonexistence of global solutions of some system of semilinear wave equations. Nonlinear Analysis, 2003,54: 1397-1415
  • 4Li M R, Tsai L Y. On a system of nonlinear wave equations. Taiwan Residents Journal of Mathematics, 2003, 7(4): 557-573
  • 5Li M R. On the semilinear wave equations. Taiwan Residents J Math,1998 , 2(3): 329-345
  • 6Li M R. Estimates for the life-span of solutions for semilinear wave equations. Proceedings of the Workshop on Differential Equations V.pp129-138, Jan.10-11,1997, National Tsing -Hua Uni Hsinchu, Taiwan
  • 7Bellman R. Stability Theory for Nonlinear Ordinary Differential Equations.New York: McGraw-Hill, 1953

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