A Uniqueness Theorem on Inverse Spectral Problems for the Sturm–Liouville Differential Operators on Time Scales

被引:0
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作者
M. A. Kuznetsova
机构
[1] Saratov State University,Department of Mathematics
来源
Results in Mathematics | 2020年 / 75卷
关键词
Differential operators; Sturm–Liouville equation; time scales; closed sets; inverse spectral problems; 34A55; 4B24; 47E05;
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摘要
In the paper, Sturm–Liouville differential operators on time scales consisting of a finite number of isolated points and segments are considered. Such operators unify differential and difference operators. We obtain properties of their spectral characteristics including asymptotic formulae for eigenvalues and weight numbers. Uniqueness theorem is proved for recovering the operators from the spectral characteristics.
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