COMPLETENESS OF EIGENFUNCTIONS OF STURM LIOUVILLE PROBLEMS WITH TRANSMISSION CONDITIONS

被引：7

作者：

Wang, Aiping ^{[1
,2
]}

Sun, Jiong ^{[1
]}

Hao, Xiaoling ^{[1
]}

Yao, Siqin ^{[1
]}

机构：

[1] Inner Mongolia Univ, Dept Math, Hohhot 010021, Peoples R China

[2] Tianjin Univ Sci & Technol, Dept Math, Tianjin 300222, Peoples R China

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2009年 / 16卷 / 03期

关键词：

Eigenparameter-dependent boundary conditions; transmission conditions; eigenvalues; eigenfunctions; completeness;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a class of Sturm-Liouville problems with eigenparameter-dependent boundary conditions and transmission conditions at an interior point. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We show that the operator A has only point spectrum, the eigenvalues of the problem are algebraically simple, and the eigenfunctions of A are complete in H.

引用

页码：299 / 312

页数：14

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