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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (10): 969-973.

• 论文 • 上一篇    下一篇

ON THE PROBLEM OF THE NUMBER OF BIFURCATION SOLUTIONS AT SINGULAR POINT

周鹍   

  1. Department of Mechanics and Engineering Science, Peking University, Bejing 100871, P. R. China
  • 收稿日期:1995-07-19 修回日期:1997-01-01 出版日期:1997-10-18 发布日期:1997-10-18
  • 基金资助:

    Project supported by the National Natural Science Foundation and National Basic Research Project “Nonlinear Science” Foundation of China

ON THE PROBLEM OF THE NUMBER OF BIFURCATION SOLUTIONS AT SINGULAR POINT

Zhou Kun   

  1. Department of Mechanics and Engineering Science, Peking University, Bejing 100871, P. R. China
  • Received:1995-07-19 Revised:1997-01-01 Online:1997-10-18 Published:1997-10-18
  • Supported by:

    Project supported by the National Natural Science Foundation and National Basic Research Project “Nonlinear Science” Foundation of China

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摘要： In this paper, it is proved that the solutions of a nonlinear equation are isolated under Ihe condition that the singular points are isolated. It shows that there musl have and Only have finite solutions branching from bifurcation point. This is important.for the numerical analysis of bifurcation problems.

Abstract: In this paper, it is proved that the solutions of a nonlinear equation are isolated under Ihe condition that the singular points are isolated. It shows that there musl have and Only have finite solutions branching from bifurcation point. This is important.for the numerical analysis of bifurcation problems.

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