Inverse spectral problems for non-local Sturm-Liouville operators

被引：54

作者：

Albeverio, S.

Hryniv, R. O.

Nizhnik, L. P.

机构：

[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[2] SFB 611, Bonn, Germany

[3] IZKS, Bonn, Germany

[4] BiBoS, Bielefeld, Germany

[5] CERFIM, Locarno, Switzerland

[6] Acad Architettura, Mendrisio, Switzerland

[7] Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine

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

[9] Inst Math, UA-01601 Kiev, Ukraine

来源：

INVERSE PROBLEMS | 2007年 / 23卷 / 02期

关键词：

D O I：

10.1088/0266-5611/23/2/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the inverse spectral problem for a class of Sturm-Liouville operators with singular non-local potentials and non- local boundary conditions. We study to what extent the operator from that class is determined by its spectrum, and point out subclasses in which the reconstruction problem from one spectrum has a unique solution.

引用

页码：523 / 535

页数：13

共 50 条

[21] INVERSE PROBLEMS FOR STURM-LIOUVILLE OPERATORS ON GRAPHS WITH A CYCLE
Yurko, Vjacheslav Anatoljevich
OPERATORS AND MATRICES, 2008, 2 (04): : 543 - 553
[22] On the inverse nodal problems for discontinuous Sturm-Liouville operators
Wang, Yu Ping
Yurko, V. A.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (05) : 4086 - 4109
[23] Partial inverse problems for Sturm-Liouville operators on trees
Bondarenko, Natalia
Shieh, Chung-Tsun
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2017, 147 (05) : 917 - 933
[24] Inverse problems for Sturm-Liouville operators on noncompact trees
Freiling, Gerhard
Yurko, Vjacheslav
RESULTS IN MATHEMATICS, 2007, 50 (3-4) : 195 - 212
[25] A Remark on Inverse Problems for Sturm-Liouville Operators on Graphs
Yurko, Vjacheslav
RESULTS IN MATHEMATICS, 2010, 58 (3-4) : 399 - 401
[26] Positive solutions to Sturm-Liouville problems with non-local boundary conditions
Jankowski, T.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2014, 144 (01) : 119 - 138
[27] Spectral asymptotics for inverse nonlinear Sturm-Liouville problems
Shibata, Tetsutaro
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (58) : 1 - 18
[28] Inverse spectral problems for the Sturm-Liouville operator with discontinuity
Xu, Xiao-Chuan
Yang, Chuan-Fu
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 3093 - 3106
[29] Inverse spectral problems for non-self-adjoint Sturm-Liouville operators with discontinuous boundary conditions
Yan, Jun
Shi, Guoliang
MONATSHEFTE FUR MATHEMATIK, 2020, 191 (02): : 395 - 436
[30] INVERSE STURM-LIOUVILLE PROBLEMS
HOCHSTADT, H
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (07): : A681 - A682

← 1 2 3 4 5 →