INVERSE PROBLEMS FOR STURM-LIOUVILLE DIFFERENTIAL OPERATORS ON CLOSED SETS

被引：6

作者：

Yurko, V ^{[1
]}

机构：

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

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2019年 / 50卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

differential operators; closed sets; inverse spectral problems;

D O I：

10.5556/j.tkjm.50.2019.3343

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Second-order differential operators on closed sets (time scales) are considered. Properties of their spectral characteristics are obtained and inverse problems are studied, which consists in recovering the operators from their spectral characteristics. We establish the uniqueness and develop constructive algorithms for the solution of the inverse problems.

引用

页码：199 / 206

页数：8

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