| K—非退化简单固有值的分歧 |
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| 引用本文： | 毕耜琨.K—非退化简单固有值的分歧[J].辽宁大学学报(自然科学版),1992,19(1):22-26. |
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| 作者姓名： | 毕耜琨 |
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| 作者单位： | 辽宁大学数学系 |
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| 摘 要： | 本文讨论负指标Fredholm算子简单固有值退化情形的分歧问题。引入了k-非退化简单固有值的概念,通过变换的方法并利用Hoyle的结果,得到了一类退化情形的分歧定理。
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| 关 键 词： | 分歧 Fredholm算子 简单特征值 |
Bifurcation from k-nondegenerate Simple Eigenvalues |
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| Bi Sikun.Bifurcation from k-nondegenerate Simple Eigenvalues[J].Journal of Liaoning University(Natural Sciences Edition),1992,19(1):22-26. |
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| Authors: | Bi Sikun |
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| Institution: | Bi Sikun Department of Mathematics,Liaoning University |
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| Abstract: | In this paper, we discuss the bifurcation from simple eigenvalues of Fredholm operators of negative index in degenerate cases. We introduce the concept of k-nondegenerate simple eigenvalue. By using a transformation method and Hoyle's result for positive index, the bifurcation theorem for a kind of degenerate cases is obtained. |
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| Keywords: | Bifurcation Fredholm operator Simple eigenvalue Degenerate case |
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