Eigenvalues of second-order difference equations with coupled boundary conditions

被引：29
|
作者：
Sun, HQ [1 ]
Shi, YM [1 ]
机构：
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 414卷 / 01期
基金：
中国国家自然科学基金;
关键词：
self-adjoint second-order difference equation; coupled boundary condition; eigenvalue;
D O I：
10.1016/j.laa.2005.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with coupled boundary value problems for self-adjoint second-order difference equations. Existence of eigenvalues is proved, numbers of eigenvalues are calculated, and relationships between the eigenvalues of a self-adjoint second-order difference equation with three different coupled boundary conditions are established. These results extend the relevant existing results Of periodic and antiperiodic boundary Value problems. (c) 2005 Elsevier Inc. All rights reserved.
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页码：361 / 372
页数：12
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