摘要
§1.引言 设X,Y是Banach空间,R是实数域;D和A分别表示X和R中的开集.F:D×A→Y是c^3算子,满足F(x~*,λ~*)=0.本文将讨论在(x~*,λ~*)
For a class of second-order singular points, the number of bifurcation solutions of a non-linear operator equation with a real parameter is given, and an effective numerical methodfor computing these bifurcation solutions is presented. It is proved that the bifurcation solu-tions of a perturbed bifurcation problem are continuously dependent on the perturbation para-meter. An example illustrates the effectiveness of the numerical method presented.
出处
《计算数学》
CSCD
北大核心
1992年第2期157-166,共10页
Mathematica Numerica Sinica
基金
国家自然科学基金
