A singular Sturm-Liouville problem with limit circle endpoint and boundary conditions rationally dependent on the eigenparameter

被引：4

作者：

Cai, Jinming ^{[1
]}

Li, Kun ^{[1
]}

Zheng, Zhaowen ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 04期

关键词：

Singular Sturm-Liouville problem; transmission condition; limit circle endpoint; Eigenparameter dependent on boundary condition; completeness; EIGENVALUE PARAMETER;

D O I：

10.1007/s00009-022-02109-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of discontinuous singular Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter is considered. We define the operator formulation and give the properties of eigenvalues. Moreover, the completeness of its eigenfunctions is also discussed.

引用

页数：15

共 25 条

[11]

FULTON CT, 1980, P ROY SOC EDINB A, V87, P1

[12] NUMERICAL-METHODS FOR A SINGULAR EIGENVALUE PROBLEM WITH EIGEN-PARAMETER IN THE BOUNDARY-CONDITIONS [J].

FULTON, CT ;

PRUESS, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (02) :431-462

[13] Sturm-Liouville problems with discontinuities at two points [J].

Kadakal, M. ;

Mukhtarov, O. Sh. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (11-12) :1367-1379

[14] EIGENVALUES OF DISCONTINUOUS STURM-LIOUVILLE PROBLEMS WITH SYMMETRIC-POTENTIALS [J].

KOBAYASHI, M .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1989, 18 (04) :357-364

[15] Spectral analysis for discontinuous non-self-adjoint singular Dirac operators with eigenparameter dependent boundary condition [J].

Li, Kun ;

Sun, Jiong ;

Hao, Xiaoling ;

Bao, Qinglan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 453 (01) :304-316

[16]

[李昆 Li Kun], 2015, [数学物理学报. A辑, Acta Mathematica Scientia], V35, P910

[17]

Likov A.V., 1963, THEORY HEAT MASS TRA

[18]

Naimark M. A., 1968, LINEAR DIFFERENTIAL

[19] Spectral analysis of eigenparameter dependent boundary value transmission problems [J].

Ugurlu, Ekin ;

Bairamov, Elgiz .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (01) :482-494

[20] REGULAR EIGENVALUE PROBLEMS WITH EIGENVALUE PARAMETER IN BOUNDARY-CONDITION [J].

WALTER, J .

MATHEMATISCHE ZEITSCHRIFT, 1973, 133 (04) :301-312

← 1 2 3 →