Title

Eigenvalue Comparisons for Boundary Value Problems for Second Order Difference Equations

Department

Mathematics

Document Type

Article

Publication Date

8-15-2006

Abstract

We consider the eigenvalue problems for boundary value problems of second order difference equations

(1) Δ(ri-1Δyi-1)+λaiyi = 0, 1 ≤ i ≤ n, y0 = yn+1 - δyn = 0,

and

(2) A(ri-1Δyi-1)+μbiyi = 0, 1 ≤ i ≤ n, yo = yn+1 - δyn = 0.

Comparison results for the eigenvalues of the problem (1) and the problem (2) are established.