Existence and asymptotics of eigenvalues of indefinite systems of Sturm-Liouville and Dirac type

被引：14

作者：

Binding, PA

Volkmer, H

机构：

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

[2] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 172卷 / 01期

关键词：

D O I：

10.1006/jdeq.2000.3854

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existence and asymptotic behavior of eigenvalues of indefinite Sturm-Liouville and Dirac systems with integrable coefficients art investigated using Prufer angle analysis. The results generalize those previously obtained by Atkinson, Mingarelli. Gohberg and Krein and are based on a new theorem that determines the asymptotic behavior of the solution of a Riccati-type equation containing a large parameter. (C) 2001 Academic Press

引用

页码：116 / 133

页数：18

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