| 一类二阶奇点附近的分支解及其数值计算方法 |
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| 引用本文： | 朱正佑,姚路刚.一类二阶奇点附近的分支解及其数值计算方法[J].计算数学,1992,14(2):157-166. |
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| 作者姓名： | 朱正佑 姚路刚 |
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| 作者单位： | 兰州大学
(朱正佑)，兰州大学(姚路刚) |
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| 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~*)附近方程
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| 关 键 词： | 分支方程 奇点 分支解 数值计算 |
BIFURCATION SOLUTIONS ON A CLASS OF SECOND-ORDER SINGULAR POINTS AND THEIR NUMERICAL METHODS |
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| Institution: | Zhu Zheng-you;Yao Lu-gang Lanzhou University |
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| Abstract: | 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. |
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