Oscillation criteria for second-order neutral delay difference equations

In this paper, we establish some oscillation criteria of the second-order delay difference equation Δ[an−1Δ(xn−1+pn−1xn−1−σ)]+qnf(xn−τ)=0 , where σ and τ are nonnegative constants, {an}, and {pn, {qn} are nonnegative sequences and f ∈ C(ℜ;ℜ).