Some new results are obtained for the asymptotic behavior of the following second-order nonlinear difference equation: δ(r n-1δy n-1+q(n))(β)-p(n)y(n)(α)= e(n), nε N, where {r n} n ∞=0 o is a positive sequence, {P n} n ∞ = 1 and {qn n ∞} = 1 are nonnegative sequences, {e n} n ∞ = 1 any real sequence, and α and β are ratios of odd positive integers. Examples are given to illustrate rights reserved. © 2...