SOME PROPERTIES OF THE SPECTRUM OF THE DIRAC OPERATOR WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

被引：2

作者：

Ferzullazadeh, Abid G. ^{[1
]}

Nabiev, Ibrahim M. ^{[2
,3
,4
]}

机构：

[1] Lankaran State Univ, Gen Hazi Aslanov 50, AZ-4200 Lankaran, Azerbaijan

[2] Baku State Univ, Z Khalilov 23, AZ-1148 Baku, Azerbaijan

[3] Natl Acad Sci Azerbaijan, Inst Math & Mech, B Vahabzadeh 9, AZ-1141 Baku, Azerbaijan

[4] Khazar Univ, Mahsati 11, AZ-1096 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2020年 / 46卷 / 02期

关键词：

Dirac operator; non-separated boundary conditions; asymptotics of the eigenvalues; INVERSE PROBLEM; SYSTEM;

D O I：

10.29228/proc.28

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Dirac operator subject to non- separated boundary conditions of which one contains the spectral parameter. The representations of some entire functions are given, the reality eigenvalues and the absence of associated vector functions to the vector eigenfunctions are proved, an asymptotic formula for the eigenvalues of the Dirac operator are obtained.

引用

页码：189 / 196

页数：8

共 50 条

[1] Oscillation theorems for the Dirac operator with spectral parameter in the boundary condition
Aliyev, Ziyatkhan S.
Manafova, Parvana R.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (115) : 1 - 10
[2] An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
T. Sh. Abdullaev
I. M. Nabiev
Computational Mathematics and Mathematical Physics, 2016, 56 : 256 - 262
[3] An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
Abdullaev, T. Sh.
Nabiev, I. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (02) : 256 - 262
[4] SOLUTION ALGORITHM OF THE INVERSE SPECTRAL PROBLEM FOR DIRAC OPERATOR WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
Ferzullazadeh, Abid G.
OPERATORS AND MATRICES, 2022, 16 (01): : 113 - 122
[5] Oscillation Properties for the Dirac Equation with Spectral Parameter in the Boundary Condition
Z. S. Aliyev
P. R. Manafova
Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 1449 - 1463
[6] Oscillation Properties for the Dirac Equation with Spectral Parameter in the Boundary Condition
Aliyev, Z. S.
Manafova, P. R.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (02) : 1449 - 1463
[7] PROPERTIES OF THE SPECTRUM AND UNIQUENESS OF RECONSTRUCTION OF STURM-LIOUVILLE OPERATOR WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
Nabiev, Ibrahim M.
Shukurov, Aydin Sh.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2014, 40 : 332 - 341
[8] Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
R. Kh. Amirov
B. Keskin
A. S. Ozkan
Ukrainian Mathematical Journal, 2009, 61 : 1365 - 1379
[9] Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
Amirov, R. Kh.
Keskin, B.
Ozkan, A. S.
UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (09) : 1365 - 1379
[10] Some spectral properties of a boundary value problem with a spectral parameter in the boundary condition
N. B. Kerimov
Z. S. Aliev
Doklady Mathematics, 2006, 74 : 883 - 886

← 1 2 3 4 5 →