An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity

被引：5

作者：

Bondarenko, Natalia ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Mech & Math, Astrakhanskaya 83, RU-410012 Saratov, Russia

来源：

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 2015卷

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1155/2015/647396

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse problem by the Weyl matrix is studied for the matrix Sturm-Liouville equation on a finite interval with a Besseltype singularity in the end of the interval. We construct special fundamental systems of solutions for this equation and prove the uniqueness theorem of the inverse problem.

引用

页数：4

共 50 条

[41] AN INVERSE STURM-LIOUVILLE PROBLEM
MARTIN, AD
DUKE MATHEMATICAL JOURNAL, 1959, 26 (03) : 455 - 465
[42] On the inverse Sturm-Liouville problem
Johnson, Russell
Zampogni, Luca
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 18 (2-3) : 405 - 428
[43] Inverse spectral problem for the Sturm-Liouville operator with eigenvalue parameter dependent boundary conditions
Chugunova, MV
OPERATOR THEORY, SYSTEM THEORY AND RELATED TOPICS: THE MOSHE LIVSIC ANNIVERSARY VOLUME, 2001, 123 : 187 - 194
[44] INVERSE SPECTRAL PROBLEM FOR THE MATRIX STURM-LIOUVILLE OPERATOR WITH THE GENERAL SEPARATED SELF-ADJOINT BOUNDARY CONDITIONS
Xu, Xiao-Chuan
TAMKANG JOURNAL OF MATHEMATICS, 2019, 50 (03): : 321 - 336
[45] On the reconstruction of the potential in the inverse problem for a power of the Sturm-Liouville operator
Tomin N.G.
Journal of Mathematical Sciences, 2005, 126 (5) : 1485 - 1494
[46] THE UNIQUENESS IN THE INVERSE STURM-LIOUVILLE PROBLEM WITH UNBOUNDED OPERATOR POTENTIAL
ANDROSHCHUK, AA
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1981, (03): : 3 - 5
[47] INVERSE STURM-LIOUVILLE PROBLEM ASSOCIATED WITH A SINGULAR DIFFERENTIAL OPERATOR
KHALED, AB
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 299 (07): : 221 - 224
[48] INVERSE STURM-LIOUVILLE PROBLEMS WITH A SINGULARITY AT ZERO
CARLSON, R
INVERSE PROBLEMS, 1994, 10 (04) : 851 - 864
[49] THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH QUASIPERIODIC BOUNDARY CONDITIONS
Nabiev, Ibrahim M.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2006, 25 (33): : 91 - 94
[50] Inverse nodal problem for polynomial pencil of Sturm-Liouville operator
Goktas, Sertac
Koyunbakan, Hikmet
Gulsen, Tuba
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7576 - 7582

← 1 2 3 4 5 →