THE UPPER AND LOWER BOUNDS ON NON-REAL EIGENVALUES OF INDEFINITE STURM-LIOUVILLE PROBLEMS

被引：17

作者：

Qi, Jiangang ^{[1
]}

Xie, Bing ^{[1
]}

Chen, Shaozhu ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Weihai 264209, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 02期

关键词：

Indefinite Sturm-Liouville problem; Krein space; non-real eigenvalue; a priori bounds; LINEAR-DIFFERENTIAL EQUATIONS; OSCILLATION; OPERATORS;

D O I：

10.1090/proc/12854

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper gives a priori upper and lower bounds on non-real eigenvalues of regular indefinite Sturm-Liouville problems only under the integrability conditions. More generally, a lower bound on non-real eigenvalues of the self-adjoint operator in Krein space is obtained.

引用

页码：547 / 559

页数：13

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