Spectral analysis of discontinuous Sturm-Liouville operators with Herglotzs transmission

被引：5

作者：

Du, Gaofeng ^{[1
]}

Gao, Chenghua ^{[1
]}

Wang, Jingjing ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 04期

基金：

中国国家自然科学基金;

关键词：

spectral analysis; Sturm-Liouville operator; transmission conditions; eigenparameter; dependent boundary condition; eigenvalue problem; BOUNDARY-VALUE-PROBLEMS; EIGENVALUES;

D O I：

10.3934/era.2023108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the spectral properties of the Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions. In details, we introduce a Hilbert space formula, so that the problem we consider can be interpreted as an eigenvalue problem of an self-adjoint operator. Moreover, the Green's function and the resolvent of the related linear operator are obtained.

引用

页码：2108 / 2119

页数：12

共 16 条

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