Sufficient conditions for-the oscillation of all solutions of a damped
difference equation of the form Delta(2)y(n) + p(n) Delta y(n) + q(n)
f(y(n+1)) = 0, n = 0, 1, 2,..., are obtained. No sign conditions on t
he sequences {p(n)} and {q(n)}are assumed. Examples are inserted in th
e text to illustrate our results.