On Recovering the Sturm-Liouville Differential Operators on Time Scales

被引：6

作者：

Kuznetsova, M. A. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia

来源：

MATHEMATICAL NOTES | 2021年 / 109卷 / 1-2期

基金：

俄罗斯科学基金会;

关键词：

inverse spectral problems; time scales; closed sets; differential operators; Sturm- Liouville equations; INVERSE PROBLEMS;

D O I：

10.1134/S0001434621010090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Sturm-Liouville differential operators on the time scales consisting of finitely many isolated points and closed intervals. In the author's previous paper, it was established that such operators are uniquely determined by the spectral characteristics of all classical types. In the present paper, an algorithm for their recovery based on the method of spectral mappings is obtained. We also prove that the eigenvalues of two Sturm-Liouville boundary-value problems on time scales with one common boundary condition alternate.

引用

页码：74 / 88

页数：15

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