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