A Class of Singular Sturm-Liouville Problems with Discontinuity and an Eigenparameter-Dependent Boundary Condition

被引：0

作者：

Cai, Jinming ^{[1
]}

Zheng, Zhaowen ^{[1
]}

Li, Kun ^{[1
]}

机构：

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

来源：

MATHEMATICS | 2022年 / 10卷 / 23期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

singular Sturm-Liouville problem; transmission condition; eigenparameter-dependent boundary condition; asymptotic formula of an eigenvalue; Green's function; EIGENVALUE PARAMETER;

D O I：

10.3390/math10234430

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a singular Sturm-Liouville problem with an eigenparameter-dependent boundary condition and transmission conditions at two interior points. Using an operator-theoretical formulation, we transfer the problem to an operator in an appropriate Hilbert space. It is proved that the operator is self-adjoint. We also give the asymptotic formulas of the eigenvalues of the problem. Moreover, Green's function is also discussed.

引用

页数：17

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