Oscillation criteria for even order neutral difference equations

In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form Δm(xn + axn-τ1 + bxn+τ2 ) + pnxα n-σ1 + qnxβ n+σ2 = 0, n ≥ n0 > 0, where m ≥ 2 is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results. © 2019 Wydawnictwa AGH, Krakow.