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 Oscillation of second order nonlinear delay difference equations Bull. Korean Math. Soc. 2003 Vol. 40, No. 3, 489-501 Published online September 1, 2003 S. H. Saker Mansoura University Abstract : In this paper we shall consider the nonlinear delay difference equation $\Delta (p_{n}\Delta x_{n})+q_{n}f(x_{n-\sigma })=0,\qquad n=0,1,2,\ldots%$ when $\sum\limits_{n=n_{0}}^{\infty }\frac{1}{p_{n}}<\infty$. We will establish some sufficient conditions which guarantee that every solution is oscillatory or converges to zero. Keywords : oscillation, nonlinear delay difference equations MSC numbers : 39A10 Full-Text :