ON A UNIQUENESS THEOREM IN THE INVERSE STURM-LIOUVILLE PROBLEM

被引：0
作者：
Harutyunyan, T. N. [1 ]
机构：
[1] Yerevan State Univ, Dept Math & Mech, Yerevan, Armenia
来源：
MATEMATICKI VESNIK | 2009年 / 61卷 / 02期
关键词：
Inverse Sturm-Liouville problem; uniqueness theorem; spectral data;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce new supplementary data to the set of eigenvalues, to determine uniquely the potential and boundary conditions of the Sturm-Liouville problem. As a corollary we obtain extensions of some known uniqueness theorems in the inverse Sturm-Liouville problem.
引用
收藏
页码：139 / 147
页数：9
相关论文
共 21 条
[1]   About a question of intrinsic value theory. [J].
Ambarzumian, V. .
ZEITSCHRIFT FUR PHYSIK, 1929, 53 (9-10) :690-695
[2]  
[Anonymous], 1952, T MOSCOW MATH SOC
[3]   *EINE UMKEHRUNG DER STURM-LIOUVILLESCHEN EIGENWERTAUFGABE - BESTIMMUNG DER DIFFERENTIALGLEICHUNG DURCH DIE EIGENWERTE [J].
BORG, G .
ACTA MATHEMATICA, 1946, 78 (01) :1-96
[4]   THE INVERSE STURM-LIOUVILLE PROBLEM .3. [J].
DAHLBERG, BEJ ;
TRUBOWITZ, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (02) :255-267
[5]  
Gelfand I.M., 1955, T AM MATH SOC, V1, P253
[6]  
Harutyunyan TN, 2008, MAT VESTN, V60, P285
[7]  
Harutyunyan T. N., 2004, J CONTEMP MATH ANAL, V39, P27
[8]  
Harutyunyan T. N., 2005, HIGHER SCH, VI, P59
[9]   THE INVERSE STURM-LIOUVILLE PROBLEM .2. [J].
ISAACSON, EL ;
MCKEAN, HP ;
TRUBOWITZ, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (01) :1-11
[10]   THE INVERSE STURM-LIOUVILLE PROBLEM .1. [J].
ISAACSON, EL ;
TRUBOWITZ, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (06) :767-783
123