Inverse spectral problems for Sturm-Liouville operators with complex weights

被引：10

作者：

Yurko, Vjacheslav ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Math, Fac Math Phys, Saratov, Russia

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2018年 / 26卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Sturm-Liouville operators; complex weights; inverse spectral problems; DIFFERENTIAL-EQUATIONS; EIGENVALUE PROBLEMS; TURNING-POINTS;

D O I：

10.1080/17415977.2017.1400030

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study inverse problems of spectral analysis for second-order differential operators on a finite interval with complex-valued weights and with discontinuity conditions inside the interval. Properties of spectral characteristics are established, and the uniqueness theorems are proved for this class of non-linear inverse problems. A number of examples are provided.

引用

页码：1396 / 1403

页数：8

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