An inverse three spectra problem for Sturm-Liouville operators

被引：4

作者：

Guo, Yongxia ^{[1
]}

Wei, Guangsheng ^{[1
]}

Yao, Ruoxia ^{[2
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian, Shaanxi, Peoples R China

[2] Shaanxi Normal Univ, Sch Comp Sci, Xian, Shaanxi, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2018年

基金：

中国博士后科学基金;

关键词：

Sturm-Liouville problem; Inverse three spectra problem; Boundary condition; NEVANLINNA FUNCTIONS; RECONSTRUCTION; UNIQUENESS; THEOREM;

D O I：

10.1186/s13661-018-0987-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the inverse three spectra problems of recovering the Sturm-Liouville equation by the spectra of the Neumann-Dirichlet boundary value problem on [0,1], the Neumann-Robin problem on [0,1/2], and the Robin-Dirichlet problem on [1/2,1], where the two Robin parameters at the interior node x = 1/2 are considered to be different. The algorithm of construction is presented and sufficient conditions for three sequences to be the spectral data of the mentioned boundary problems are given.

引用

页数：14

共 50 条

[41] Inverse problem for Sturm-Liouville operators on hedgehog-type graphs
Yurko, V. A.
MATHEMATICAL NOTES, 2011, 89 (3-4) : 438 - 449
[42] An inverse spectral problem for Sturm-Liouville operators with a large constant delay
Buterin, S. A.
Yurko, V. A.
ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (01) : 17 - 27
[43] Traces and inverse nodal problem for Sturm-Liouville operators with frozen argument
Hu, Yi-Teng
Bondarenko, Natalia Pavlovna
Yang, Chuan-Fu
APPLIED MATHEMATICS LETTERS, 2020, 102
[44] On the inverse problem for a quadratic pencil of Sturm-Liouville operators with periodic potential
Babadzhanov, BA
Khasanov, AB
Yakhshimuratov, AB
DIFFERENTIAL EQUATIONS, 2005, 41 (03) : 310 - 318
[45] An inverse problem for Sturm-Liouville operators on arbitrary compact spatial networks
V. A. Yurko
Doklady Mathematics, 2010, 81 : 410 - 413
[46] Boundary conditions and spectra of Sturm-Liouville operators
del Río, R
Sturm-Liouville Theory: Past and Present, 2005, : 217 - 235
[47] On inverse problem for singular Sturm-Liouville operator from two spectra
Panakhov E.S.
Yilmazer R.
Ukrainian Mathematical Journal, 2006, 58 (1) : 147 - 154
[48] ON INVERSE PROBLEM FOR SINGULAR STURM-LIOUVILLE OPERATOR FROM TWO SPECTRA
Panakhov, Etibar
Bas, Erdal
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2008, 28 (36): : 89 - +
[49] Numerical reconstruction in a three-spectra inverse Sturm-Liouville problem with mixed boundary conditions
Drignei, Mihaela-Cristina
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2013, 21 (08) : 1368 - 1391
[50] ON THE POINT SPECTRA OF COMPLEX STURM-LIOUVILLE OPERATORS
KNOWLES, I
RACE, D
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1980, 85 : 263 - 289

← 1 2 3 4 5 →