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

页码：299 / 301

页数：3

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