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.
Recommended Citation
Ji, J., & Yang, B. (2007). Eigenvalue comparisons for a class of boundary value problems of second order difference equations. Linear Algebra and its Applications, 420(1), 218-227. doi:DOI: 10.1016/j.laa.2006.07.006
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