Electronic Journal of Qualitative Theory of Differential Equations (Mar 2008)

On the oscillation of second order nonlinear neutral delay difference equations

  • A. K. Tripathy

DOI
https://doi.org/10.14232/ejqtde.2008.1.11
Journal volume & issue
Vol. 2008, no. 11
pp. 1 – 12

Abstract

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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.