Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions

被引：61

作者：

Wang, Y ^{[1
]}

Shi, YM ^{[1
]}

机构：

[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 309卷 / 01期

基金：

中国国家自然科学基金;

关键词：

self-adjoint second-order difference equation; periodic boundary condition; antiperiodic boundary condition; eigenvalue problem;

D O I：

10.1016/j.jmaa.2004.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with periodic and antiperiodic boundary value problems for self-adjoint second-order difference equations. Existence of eigenvalues of these two different boundary value problems is proved, numbers of their eigenvalues are calculated, and their relationships are obtained. In addition, a representation of solutions of a nonhomogeneous linear equation with initial conditions is given. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：56 / 69

页数：14

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