Recovering differential operators with nonlocal boundary conditions

被引：7

作者：

Yurko, Vjacheslav Anatoljevich ^{[1
]}

Yang, Chuan-Fu ^{[2
]}

机构：

[1] Saratov Univ, Dept Math, Astrakhanskaya 83, Saratov 410012, Russia

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

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2016年 / 6卷 / 04期

基金：

俄罗斯基础研究基金会; 中国国家自然科学基金;

关键词：

Differential operators; Nonlocal boundary conditions; Inverse spectral problems; INVERSE PROBLEM;

D O I：

10.1007/s13324-015-0120-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively.

引用

页码：315 / 326

页数：12

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