Equality of multiplicities of a Sturm-Liouville eigenvalue

被引：3
|
作者：
Wang, Z [1 ]
Wu, HY
机构：
[1] ZhaoQing Univ, Dept Math, GuangDong 526061, Peoples R China
[2] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 306卷 / 02期
基金：
美国国家科学基金会;
关键词：
Sturm-Liouville problems; eigenvalue; analytic multiplicity; geometric multiplicity;
D O I：
10.1016/j.jmaa.2004.10.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a new and unified proof of the fact that for any eigenvalue of a self-adjoint Sturm-Liouville problem with limit-circle end points, its analytic and geometric multiplicities are equal. This proof is geometric in nature and can be generalized to the case of high-order differential equations. © 2004 Elsevier Inc. All rights reserved.
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页码：540 / 547
页数：8
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