Sturm-Liouville problems with reducible boundary conditions

被引：8

作者：

Binding, Paul A. ^{[1
]}

Browne, Patrick J.

Watson, Bruce A.

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Univ Saskatchewan, Dept Comp Sci, Math Sci Grp, Saskatoon, SK S7N 5E6, Canada

[3] Univ Witwatersrand, Sch Math, ZA-2050 Wits, South Africa

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2006年 / 49卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Sturm-Liouville problem; eigenparameter-dependent boundary conditions; Jordan chain;

D O I：

10.1017/S0013091505000131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The regular Sturm-Liouville problem tau y := -y" + qy = lambda y on [0, 1], lambda is an element of C, where q is an element of L-1(0, 1) and P-j and Q(j) are polynomials with real coefficients. A comparison is made between this problem and the corresponding 'reduced' one where all common factors are removed from the boundary conditions. Topics treated include Jordan chain structure, eigenvalue asymptotics and eigenfunction oscillation.

引用

页码：593 / 608

页数：16

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