BIFURCATION SOLUTIONS ON A CLASS OF SECOND-ORDER SINGULAR POINTS AND THEIR NUMERICAL METHODS
一类二阶奇点附近的分支解及其数值计算方法

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.