On the oscillation of second order nonlinear neutral delay difference equations

A. K. Tripathy, Kakatiya Institute of Technology and Science, Warangal, India

E. J. Qualitative Theory of Diff. Equ., No. 11. (2008), pp. 1-12.

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.

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