An Inverse Spectral Problem of Sturm-Liouville Problems with Transmission Conditions

被引：5

作者：

Ao, Ji-jun ^{[1
]}

Zhang, Liang ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Inverse Sturm-Liouville problems; transmission conditions; inverse matrix eigenvalue problems; Atkinson type; finite spectrum; Primary; 34A55; 34B24; Secondary; 15A29; BOUNDARY-VALUE PROBLEM; COMPLETENESS; OPERATORS; JACOBI;

D O I：

10.1007/s00009-020-01598-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of inverse Sturm-Liouville problems of Atkinson type with transmission conditions is investigated. Based on the method of well-known theory for inverse matrix eigenvalue problems and the spectral properties of Sturm-Liouville problems with transmission conditions of Atkinson type, the corresponding Sturm-Liouville problems can be constructed using two sets of interlacing real numbers and some other conditions. We solve the problems not only under the separated boundary conditions, but also under the real coupled boundary conditions and the general real self-adjoint transmission conditions.

引用

页数：24

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