Direct and inverse spectral problems for discrete Sturm-Liouville problem with generalized function potential

被引：0

作者：

Bayram Bala

Abdullah Kablan

Manaf Dzh Manafov

机构：

[1] Gaziantep University,Faculty of Arts and Sciences, Department of Mathematics

[2] Adıyaman University,Faculty of Arts and Sciences, Department of Mathematics

来源：

Advances in Difference Equations | / 2016卷

关键词：

difference equation; inverse problems; generalized spectral function; 39A12; 34A55; 34L15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this work, we study the inverse problem for difference equations which are constructed by the Sturm-Liouville equations with generalized function potential from the generalized spectral function (GSF). Some formulas are given in order to obtain the matrix J, which need not be symmetric, by using the GSF and the structure of the GSF is studied.

引用

共 50 条

[1] Direct and inverse spectral problems for discrete Sturm-Liouville problem with generalized function potential
Bala, Bayram
Kablan, Abdullah
Manafov, Manaf Dzh
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[2] AN INVERSE STURM-LIOUVILLE PROBLEM WITH A GENERALIZED SYMMETRIC POTENTIAL
Eskitascioglu, Esin Inan
Acil, Mehmet
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[3] SOME SPECTRAL DATA FOR INVERSE DISCRETE STURM-LIOUVILLE PROBLEM
MOREL, P
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (13): : 521 - 524
[4] An Inverse Spectral Problem of Sturm-Liouville Problems with Transmission Conditions
Ao, Ji-jun
Zhang, Liang
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (05)
[5] ANALYSIS OF DIRECT SPECTRAL PROBLEM AND INSTALLATION OF INVERSE PROBLEM FOR THE STURM-LIOUVILLE
Mihaljevic, Nikola
MATHEMATICA MONTISNIGRI, 2015, 34 : 13 - 24
[6] The inverse spectral problem for the Sturm-Liouville operator with discontinuous potential
Sedipkov, Aydys A.
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2012, 20 (02): : 139 - 167
[7] Inverse spectral problem for the Sturm-Liouville equation
Brown, BM
Samko, VS
Knowles, IW
Marletta, M
INVERSE PROBLEMS, 2003, 19 (01) : 235 - 252
[8] INVERSE SPECTRAL PROBLEMS FOR NONLINEAR STURM-LIOUVILLE PROBLEMS
Shibata, Tetsutaro
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[9] Reconstruction of Potential in Discrete Sturm-Liouville Problem
Koyunbakan, Hikmet
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (01)
[10] Inverse spectral problems for Sturm-Liouville operators on graphs
Yurko, V
INVERSE PROBLEMS, 2005, 21 (03) : 1075 - 1086

← 1 2 3 4 5 →