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

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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

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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