Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order

Ethiraju Thandapani; P. Sundaram; John R. Graef; Paul W. Spikes

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In this paper the three-dimensional nonlinear difference system $\begin{matrix} Δ x_{n} & = a_{n} f (y_{n - l}), \\ Δ y_{n} & = b_{n} g (z_{n - m}), \\ Δ z_{n} & = δ c_{n} h (x_{n - k}), \end{matrix}$ is investigated. Sufficient conditions under which the system is oscillatory or almost oscillatory are presented.

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