Almost Oscillation Criteria for Second Order Neutral Difference Equation with Quasidifferences

Abstract

Using the Riccati transformation techniques, we will extend some almost oscillation criteria for the second-order nonlinear neutral difference equation with quasidifferences $$\Delta \left(r_n{\left(\Delta \left(x_n+c{x}_{n-k}\right)\right)}^{\gamma }\right)+q_n{x}_{n+1}^{\alpha }=e_n.$$