An Open Problem: Accumulation of Nonreal Eigenvalues of Indefinite Sturm-Liouville Operators

被引：6
|
作者：
Behrndt, Jussi [1 ]
机构：
[1] Graz Univ Technol, Inst Numer Math, A-8010 Graz, Austria
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2013年 / 77卷 / 03期
关键词：
Sturm-Liouville operator; indefinite weight function; nonreal eigenvalues;
D O I：
10.1007/s00020-013-2065-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we conjecture that the eigenvalues of singular indefinite Sturm-Liouville operators accumulate to the real axis whenever the eigenvalues of the corresponding definite Sturm-Liouville operator accumulate to the bottom of the essential spectrum from below.
引用
收藏
页码：299 / 301
页数：3
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