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.
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页码：315 / 326
页数：12
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