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.
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页数：15
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