A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions

被引：7

作者：

Cai, Jinming ^{[1
]}

Zheng, Zhaowen ^{[1
]}

机构：

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

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷

关键词：

DIFFERENTIAL-EQUATIONS; OSCILLATION CRITERIA; SPECTRAL PROPERTIES; EIGENVALUES; EIGENFUNCTIONS; OPERATORS;

D O I：

10.1155/2017/9673846

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate a class of discontinuous singular Sturm-Liouville problems with limit circle endpoints and eigenparameter dependent boundary conditions. Operator formulation is constructed and asymptotic formulas for eigenvalues and fundamental solutions are given. Moreover, the completeness of eigenfunctions is discussed.

引用

页数：12

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