Eigenvalue comparisons for second order difference equations with periodic and antiperiodic boundary conditions

被引：9
|
作者：
Ji J. [1 ]
Yang B. [1 ]
机构：
[1] Department of Mathematics and Statistics, Kennesaw State University, Kennesaw
来源：
Journal of Applied Mathematics and Computing | 2008年 / 27卷 / 1-2期
关键词：
Antiperiodic boundary condition; Discrete boundary value problem; Eigenvalue comparison; Periodic boundary condition;
D O I：
10.1007/s12190-008-0039-2
中图分类号：
学科分类号：
摘要：
We consider a class of boundary value problems of the second order difference equation Δ(ri-1Δ yi-1)-b iyi+λaiyi = 0, 1 ≤ i ≤ n, y0 = α yn, yn+1 = α y 1. The class of problems considered includes those with antiperiodic, Dirichlet, and periodic boundary conditions. We focus on the structure of eigenvalues of this class of problems and comparisons of all eigenvalues as the coefficients {ai}i=1n,{bi} i=1n, and {ri}i=0n change. © 2008 KSCAM and Springer-Verlag.
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页码：307 / 324
页数：17
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