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
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
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页码:116 / 133
页数:18
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