INVERSE SPECTRAL AND INVERSE NODAL PROBLEMS FOR STURM-LIOUVILLE EQUATIONS WITH POINT δ AND δ′-INTERACTIONS

被引：0
作者：
Manafov, Manaf Dzh. [1 ,2 ]
机构：
[1] Adiyaman Univ, Fac Arts & Sci, Dept Math, TR-02040 Adiyaman, Turkey
[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2019年 / 45卷 / 02期
关键词：
Sturm-Liouville equations; inverse spectral and inverse nodal problems; point delta and delta '-interactions; BOUNDARY-VALUE-PROBLEMS; DISCONTINUITY CONDITIONS; OPERATORS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Inverse spectral and inverse nodal problems are studied for Sturm-Liouville equations with point delta and delta'-interactions. Uniqueness theorems are proved and a constructive procedure for the solutions is provided.
引用
收藏
页码：286 / 294
页数：9
相关论文
共 24 条
[1]  
Albeverio S., 2005, Solvable Models in Quantum Mechanics, V2
[2]  
[Anonymous], 1977, OPERATORYI SHTURMA L
[3]  
Coddington EA, 1955, THEORY ORDINARY DIFF
[4]   Inverse spectral problems for singular non-selfadjoint differential operators with discontinuities in an interior point [J].
Freiling, G ;
Yurko, V .
INVERSE PROBLEMS, 2002, 18 (03) :757-773
[5]  
FREILING G., 2001, Inverse Sturm-Liouville Problems and Their Applications
[6]   Reconstruction of the diffusion equation with singular coefficients for two spectra [J].
Guseinov, I. M. ;
Mammadova, L. I. .
DOKLADY MATHEMATICS, 2014, 90 (01) :401-404
[7]   SOLUTIONS OF INVERSE NODAL PROBLEMS [J].
HALD, OH ;
MCLAUGHLIN, JR .
INVERSE PROBLEMS, 1989, 5 (03) :307-347
[8]   DISCONTINUOUS INVERSE EIGENVALUE PROBLEMS [J].
HALD, OH .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (05) :539-577
[9]   Inverse spectral problems and closed exponential systems [J].
Horváth, M .
ANNALS OF MATHEMATICS, 2005, 162 (02) :885-918
[10]   Inverse spectral problems for Sturm-Liouville operators with singular potentials [J].
Hryniv, RO ;
Mykytyuk, YV .
INVERSE PROBLEMS, 2003, 19 (03) :665-684
123