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In this paper, the authors establish some sufficient conditions for oscillation and nonoscillation of the second order nonlinear neutral delay difference equation$$ Delta^2 (x_n-p_nx_{n-k}) + q_nf(x_{n-ell}) = 0, ~~n ge n_0 $$where $ {p_n} $ and $ {q_n} $ are non-negative sequences with $ 0$</p

Oscillation and nonoscillation of nonlinear neutral delay difference equations