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. Moreover, we provide some examples to illustrate our main results.

Nonoscillation and oscillation criteria for class of higher - order difference equations involving generalized difference operator

“…The oscillation and nonoscillation of solutions of higher order difference equations has been studied by many authors. For example in [9], oscillation criteria are obtained for higher-order neutral-type nonlinear delay difference equations of the form ∆ r n ∆ k−1 (y n + p n y τ n ) + q n f (y σn ) = 0, n ≥ n 0 , where r n , p n , q n ∈ [n 0 , ∞) , r n > 0, q n > 0; 0…”