摘要：In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the second order neutral difference equation Δ ( a n ( Δ z n ) β ) + q n x n − ℓ γ = 0 , n ≥ n 0 , $$\Delta \bigl( a_{n} ( \Delta z_{n} )^{\beta} \bigr) + q_{n}x_{n - \ell}^{\gamma} = 0,\quad n \ge n_(, $$ where z n = x n + p n x n − k α $z_{n} = x_{n} + p_{n}x_{n - k}^{\alpha} $ . The established results extend, unify and improve some of the results reported in the literature. Examples are provided to illustrate the importance of the main results.
关键词：Oscillation ; Quasi-linear difference equations ; Sub-linear neutral term
