Abstract
We investigate the oscillatory behavior of solutions of the mth order half-linear functional difference equations with damping term of the form Delta[p(n) Q(Delta(m-1) y(n)) vertical bar r(n)Q(y(rn)) = 0,n >= n(0) Where m is even and Q(s) = vertical bar s vertical bar(alpha-2) > 1 is a fixed real number. Our main results are obtained via employing the generalized Riccati transformation. We provide two examples to illustrate the effectiveness of the proposed results.