Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions

被引：19
|
作者：
Ao, Ji-jun [1 ]
Sun, Jiong [2 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 244卷
基金：
中国国家自然科学基金;
关键词：
Sturm-Liouville problems; Matrix eigenvalue problems; Finite spectrum; Coupled eigenparameter-dependent boundary conditions; TRANSMISSION CONDITIONS; EIGENVALUE PROBLEMS; FINITE SPECTRUM; PARAMETER;
D O I：
10.1016/j.amc.2014.06.096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions with a finite spectrum. We prove for any positive integer n, the considered problems have at most n + 3 eigenvalues, and show that this kind of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions is equivalent to a class of matrix eigenvalue problems in the sense that they have exactly the same eigenvalues. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：142 / 148
页数：7
相关论文
共 50 条
12345