Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions and transmission conditions

被引：11

作者：

Cai, Jinming ^{[1
]}

Zheng, Zhaowen ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 09期

关键词：

Atkinson type; eigenparameter-dependent boundary condition; finite spectrum; matrix representation; Sturm-Liouville problem; EIGENVALUE PARAMETER; EIGENFUNCTIONS; OPERATORS;

D O I：

10.1002/mma.4842

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions and transmission conditions. Meanwhile, given any matrix eigenvalue problem with coupled eigenparameter-dependent boundary conditions and transmission conditions, we construct a class of Sturm-Liouville problems with given boundary conditions and transmission conditions such that they have the same eigenvalues.

引用

页码：3495 / 3508

页数：14

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