Inverse spectral problems for Sturm-Liouville operators with singular potentials

被引：86

作者：

Hryniv, RO ^{[1
]}

Mykytyuk, YV

机构：

[1] Inst Appl Problems Mech & Math, 3B Naukova St, UA-76901 Lvov, Ukraine

[2] Lviv Natl Univ, UA-79602 Lvov, Ukraine

来源：

INVERSE PROBLEMS | 2003年 / 19卷 / 03期

关键词：

D O I：

10.1088/0266-5611/19/3/312

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse spectral problem is solved for the class of Sturm-Liouville operators with singular real-valued potentials from the space W-2(-1) (0, 1). The potential is recovered via the eigenvalues and the corresponding norming constants. The reconstruction algorithm is presented and its stability proved. Also, the set of all possible spectral data is explicitly described and the isospectral sets are characterized.

引用

页码：665 / 684

页数：20

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