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
收藏
页码：116 / 133
页数：18
相关论文
共 50 条
12345