Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter. I

被引：52

作者：

Binding, PA ^{[1
]}

Browne, PJ

Watson, BA

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, Dept Math, ZA-2050 Johannesburg, South Africa

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2002年 / 45卷

关键词：

Sturm-Liouville; eigenparameter-dependent boundary condition; eigenfunction oscillation; eigenvalue asymptotics;

D O I：

10.1017/S0013091501000773

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Sturm-Liouville equation -y" + qy = lambday on [0, 1], subject to the boundary conditions y(0) cos alpha = y'(0) sin alpha, alpha is an element of [0, pi), and [GRAPHICS] Topics treated include existence and asymptotics of eigenvalues, oscillation of eigenfunctions, and transformations between such problems.

引用

页码：631 / 645

页数：15

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