Regular approximation of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions

被引：7

作者：

Zhang, Maozhu ^{[1
]}

Li, Kun ^{[2
]}

Song, Hongxiang ^{[1
]}

机构：

[1] Taishan Univ, Coll Math & Stat, Tai An, Shandong, Peoples R China

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

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

基金：

中国博士后科学基金;

关键词：

Regular approximation; Singular Sturm-Liouville problems; Eigenparameter dependent boundary conditions; EIGENVALUE PARAMETER;

D O I：

10.1186/s13661-019-01316-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and two singular endpoints. The spectrum of such problems can be approximated by those of the inherited restriction operators constructed. Via the abstract operator theory, the strongly resolvent convergence and norm resolvent convergence of a sequence of operators are obtained and it follows that the spectral inclusion of spectrum holds. Moreover, spectral exactness of spectrum holds for two special cases.

引用

页数：13

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