%0 Journal Article
%T BIFURCATION SOLUTIONS ON A CLASS OF SECOND-ORDER SINGULAR POINTS AND THEIR NUMERICAL METHODS<br>一类二阶奇点附近的分支解及其数值计算方法
%A 朱正佑
%A 姚路刚
%J 计算数学
%D 1992
%I 
%X 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.
%K 分支方程
%K 奇点
%K 分支解
%K 数值计算
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=CA106895E082C82212DAEE740FE97669&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=0B39A22176CE99FB&sid=0B4F496D54044D86&eid=43608FD2E15CD61B&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=2