Inverse Problem for Sturm-Liouville Operator on the Half-line Having Nonintegrable Singularity in an Interior Point

被引：1

作者：

Fedoseev, A. E. ^{[1
]}

机构：

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

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2012年 / 12卷 / 04期

关键词：

inverse problem; Sturm--Liouville operator; nonintegrable singularity; Weyl function;

D O I：

10.18500/1816-9791-2012-12-4-49-55

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The inverse problem of recovering Sturm-Liouville operators on the half-line with a nonintegrable Bessel-type singularity in an interior point from the given Weyl function is studied. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions of the solvability of the inverse problem are obtained.

引用

页码：49 / 55

页数：7

共 50 条

[41] THE MASLOV AND MORSE INDICES FOR STURM-LIOUVILLE SYSTEMS ON THE HALF-LINE
Howard, Peter
Sukhtayev, Alim
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (02) : 983 - 1012
[42] An inverse eigenvalue problem for anonlocal Sturm-Liouville operator
Wu, Xuewen
Niu, Pengcheng
Wei, Guangsheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 494 (02)
[43] On an inverse eigenvalue problem for a semilinear Sturm-Liouville operator
Zhidkov, Peter
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (03) : 639 - 644
[44] STURM-LIOUVILLE PROBLEMS FOR THE p-LAPLACIAN ON A HALF-LINE
Binding, Paul
Browne, Patrick J.
Karabash, Illya M.
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2010, 53 : 271 - 291
[45] Inverse problem for a quadratic pencil of Sturm-Liouville operator
Koyunbakan, Hikmet
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 378 (02) : 549 - 554
[46] DESCRIPTION OF THE SCATTERING DATA FOR STURM-LIOUVILLE OPERATORS ON THE HALF-LINE
Mykytyuk, Yaroslav
Sushchyk, Nataliia
OPUSCULA MATHEMATICA, 2019, 39 (04) : 557 - 576
[47] Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for Sturm-Liouville Operators with a Nonintegrable Singularity Inside a Finite Interval
Fedoseev, A. E.
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (03): : 59 - 64
[48] A NEW ASYMPTOTIC CONDITION FOR ABSOLUTELY CONTINUOUS-SPECTRUM OF THE STURM-LIOUVILLE OPERATOR ON THE HALF-LINE
ALNAGGAR, I
PEARSON, DB
HELVETICA PHYSICA ACTA, 1994, 67 (02): : 144 - 166
[49] THE INVERSE STURM-LIOUVILLE PROBLEM
LEVINSON, N
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (07) : 693 - 693
[50] INVERSE STURM-LIOUVILLE PROBLEM
HOCHSTADT, H
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1973, 26 (5-6) : 715 - 729

← 1 2 3 4 5 →