Electronic Journal of Qualitative Theory of Differential Equations (Mar 2008)
On the oscillation of second order nonlinear neutral delay difference equations
Abstract
In this paper sufficient conditions are obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form $\Delta^2(y(n)+p(n)y(n-m))+q(n)G(y(n-k))=0$ under various ranges of $p(n)$. The nonlinear function $G, G \in C (R, R)$ is either sublinear or superlinear.