Inverse spectral problems for non-local Sturm-Liouville operators

被引：56
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
收藏
页码：523 / 535
页数：13
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