数学物理学报 ›› 1981, Vol. 1 ›› Issue (2): 184-194.

• 论文 • 上一篇    下一篇

关于非线性方程的分歧问题

冯德兴1, 刘嘉荃2   

  1. 1. 中国科学院系统科学所;
    2. 中国科技大学研究生院
  • 收稿日期:1981-05-10 出版日期:1981-06-26 发布日期:1981-06-26

ON BIFURCATION OF NONLINEAR EQUATIONS

Fang Dexing1, Liu Jiaquan2   

  1. Institute of Systems Science and Mathematical Scienes, Academia Sinica
  • Received:1981-05-10 Online:1981-06-26 Published:1981-06-26

摘要: 本文讨论非线性方程的分歧问题,给出了分歧点的一个充分条件,并研究分歧解的线性化稳定性。

Abstract: In this paper we discuss in the Banach space the Banach space the bifurcation problem of the nonlinear equation F(λ,χ)=0 with trivial solution(λ, o). The sufficient conditions are given for (λ0, o) to be a bifurcation point of this equation, and the stability of the corresponding branching solutions is studied.