Oscillation of higher order neutral type difference equations

In this work we are concerned with oscillation of solutions of the neutral difference equation of the form Delta(p)[x(n) - p(n)x(n-l)] + delta q(n)f(x(n-k)) = h(n), n greater than or equal to n(0), delta = +/-1, where Delta is the forward difference operator Delta x(n) = x(n+1) - x(n), {p(n)}, {q(n)} and {h(n)} are real sequences, and l and Ic are integers. A necessary and sufficient condition is obtained under which every bounded solution {x(n)} is oscillatory when (-1)(p) delta = -1, and is either oscillatory or such that lim(n-->infinity) x(n) = 0 when (-1)(p) delta = 1.