Title

Eigenvalue Comparisons for a Class of Boundary Value Problems of Second Order Difference Equations

Department

Mathematics

Document Type

Article

Publication Date

1-1-2007

Abstract

We consider the boundary value problem for second order difference equation Δ(ri-1Δyi-1) - biyi + λaiyi = 0, 1 ≤ i ≤ n, y0 - τy1 = yn+1 - δyn = 0. In this study we do not require the positiveness of {ak}nk=1. We focus on the structure of eigenvalues of this problem and comparisons of all eigenvalues as the coefficients {ai}ni=1, {bi}ni=1, {ri}ni=0 and the parameters τ, δ change.