Eigenvalue comparisons for boundary value problems for second order difference equations

We consider the eigenvalue problems for boundary value problems of second order difference equations Δ(ri−1Δyi−1) +λaiyi = 0, 1 i n, y0 = yn+1 −δyn = 0, (1) and Δ(ri−1Δyi−1) +μbiyi = 0, 1 i n, y0 = yn+1 −δyn = 0. (2) Comparison results for the eigenvalues of the problem (1) and the problem (2) are established. © 2005 Elsevier Inc. All rights reserved.