In this paper, we are concerned with oscillation of the nonlinear di¤erence equation (cn [ (dn xn)] ) + qnf(xg(n)) = 0; n n0; where > 0 is the quotient of odd positive integers, cn, dn and qn are positive sequences of real numbers, g(n) is a sequence of nonnegative integers and f 2 C(R;R) such that uf(u) > 0 for u 6= 0:We establish some new su¢ cient conditions for oscillation by employing the ...