Nonoscillation and oscillation of solutions of a class of third order difference equations

In this paper, sufficient conditions are obtained for nonoscillation/oscillation of all solutions of a class of nonlinear third order difference equations of the formΔa(pnΔa2yn)+qnΔa2yn=f(n,yn,Δayn,Δa2yn) involving the generalized difference operator ΔaΔa which is defined as Δayn=yn+1−aynΔayn=yn+1−ayn, a≠0a≠0.