Oscillation criteria for higher-order neutral type difference equations

Abstract

In this paper, oscillation criteria are obtained for higher-order neutral-type nonlinear delay difference equations of the form ∆ rn ∆k−1 yn + pnyτn + qnf yσn = 0, n ≥ n0, 0.1 where rn, pn, qn ∈ [n0, ∞ , rn > 0, qn > 0; 0 ≤ pn ≤ p0 0; τσ = στ ; f u u ≥ m > 0 for u ̸= 0. Moreover, we provide some examples to illustrate our main results.