Characterization of left-definiteness of Sturm-Liouville problems

被引：4

作者：

Wei, GS ^{[1
]}

Wu, JH

机构：

[1] Xian Jiaotong Univ, Res Ctr Appl Math, Xian 710049, Peoples R China

[2] Xian Jiaotong Univ, Inst Informat & Syst Sci, Xian 710049, Peoples R China

[3] Shaanxi Normal Univ, Dept Math, Xian 710062, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2005年 / 278卷 / 7-8期

关键词：

Sturm-Liouville problem; left-definiteness; boundary conditions;

D O I：

10.1002/mana.200310283

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The left-definiteness for both regular and singular Sturm-Liouville problems is characterized. We give a necessary and sufficient condition on the coefficients, the endpoints and the boundary conditions of Sturm-Liouville problems to determine the left-definiteness.

引用

页码：932 / 941

页数：10

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