An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions

被引：52

作者：

Yang, Chuan-Fu ^{[1
]}

Yang, Xiao-Ping ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Sturm-Liouville operator; Discontinuous conditions; Inverse problem; Interior spectral data; BOUNDARY-VALUE-PROBLEMS; SPECTRAL PROBLEMS; NODAL PROBLEM;

D O I：

10.1016/j.aml.2008.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the inverse problem for the Sturm-Liouville operator -D(2) + q with discontinuity boundary conditions inside a finite closed interval. Using spectral data of a kind, it is shown that the potential function q(x) can be uniquely determined by a set of values of eigenfunctions at some internal point and one spectrum. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1315 / 1319

页数：5

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