Solving an Inverse Problem for the Sturm-Liouville Operator with Singular Potential by Yurko's Method

被引：12

作者：

Bondarenko, Natalia P. ^{[1
,2
]}

机构：

[1] Samara Natl Res Univ, Dept Appl Math & Phys, Moskovskoye Shosse 34, Samara 443086, Russia

[2] Saratov NG Chernyshevskii State Univ, Dept Mech & Math, Astrakhanskaya 83, Saratov 410012, Russia

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2021年 / 52卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

inverse spectral problems; Sturm-Liouville operator; singular potential; method of spectral mappings; SPECTRAL PROBLEMS; DIFFERENTIAL-EQUATIONS; ASYMPTOTICS; RECONSTRUCTION; EIGENVALUES;

D O I：

10.5556/j.tkjm.52.2021.3700

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An inverse spectral problem for the Sturm-Liouville operator with singular potential of class W-2(-1) is solved by the method of spectral mappings. We prove a uniqueness theorem, develop a constructive algorithm for solution and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and non-self-adjoint cases.

引用

页码：125 / 154

页数：30

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