Inverse nodal problem for the Sturm-Liouville operator with a weight

被引：2

作者：

Zhang, Ran ^{[1
]}

Sat, Murat ^{[2
]}

Yang, Chuan-fu ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Peoples R China

[2] Erzincan Univ, Fac Art & Sci, Dept Math, Erzincan, Turkey

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2020年 / 35卷 / 02期

基金：

中国国家自然科学基金;

关键词：

inverse nodal problem; Sturm-Liouville operator; discontinuous conditions; weight function; BOUNDARY-VALUE PROBLEM; SPECTRAL PROBLEMS; DISCONTINUITY CONDITIONS; UNIQUENESS; EQUATION; DENSITY; POINTS;

D O I：

10.1007/s11766-020-3806-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the inverse nodal problem for the Sturm-Liouville problem with a weight and the jump condition at the middle point. It is shown that the dense nodes of the eigenfunctions can uniquely determine the potential on the whole interval and some parameters.

引用

页码：193 / 202

页数：10

共 50 条

[31] An inverse problem for the Sturm-Liouville operator with regular boundary conditions
Makin, A. S.
[J]. DOKLADY MATHEMATICS, 2006, 73 (03) : 372 - 375
[32] The inverse spectral problem for the Sturm-Liouville operator with discontinuous potential
Sedipkov, Aydys A.
[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2012, 20 (02): : 139 - 167
[33] THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH QUASIPERIODIC BOUNDARY CONDITIONS
Nabiev, Ibrahim M.
[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2006, 25 (33): : 91 - 94
[34] On an inverse problem for the Sturm-Liouville operator with degenerate boundary conditions
Makin, A. S.
[J]. DIFFERENTIAL EQUATIONS, 2014, 50 (10) : 1402 - 1406
[35] Half Inverse Problem for the Sturm-Liouville Operator with Coulomb potential
Sat, Murat
[J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (02): : 501 - 504
[36] ON INVERSE PROBLEM FOR SINGULAR STURM-LIOUVILLE OPERATOR WITH DISCONTINUITY CONDITIONS
Amirov, R.
Topsakal, N.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (03): : 585 - 607
[37] AN INVERSE SPECTRAL PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH INTEGRAL DELAY
Manafov, Manaf Dzh.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[38] On an inverse problem for the Sturm-Liouville operator with degenerate boundary conditions
A. S. Makin
[J]. Differential Equations, 2014, 50 : 1402 - 1406
[39] An inverse problem for the Sturm-Liouville operator with regular boundary conditions
A. S. Makin
[J]. Doklady Mathematics, 2006, 73 : 372 - 375
[40] An inverse nodal problem for two-parameter Sturm-Liouville systems
Binding, Paul A.
Watson, Bruce A.
[J]. INVERSE PROBLEMS, 2009, 25 (08)

← 1 2 3 4 5 →