Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues

被引：0

作者：

XU Xiao-chuan ^{[1
]}

YANG Chuan-fu ^{[1
]}

机构：

[1] Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology

来源：

AppliedMathematics:AJournalofChineseUniversities | 2018年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Sturm-Liouville operator; discontinuous condition; inverse spectral problem; reconstruction algorithm;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a uniqueness theorem for determining the potential and the parameters in boundary and under discontinuous conditions from a particular set of eigenvalues, and provide corresponding reconstruction algorithm, which can be applicable to Mc Laughlin-Rundell’s uniqueness theorem(see J. Math. Phys. 28, 1987).

引用

页码：225 / 233

页数：9

共 14 条

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