Oscillations of higher-order of systems of difference equations (Q2493169)

The authors consider systems of difference equations of the form \(\Delta^r y_n + \sum\limits^m_{i=1} P_i y_{n-k_i} = 0\), \(n = 0,1,2,\dots\), \(P \in R^{s \times s}\), \(k_i \in \mathbb Z\), \(i=1,\dots,m\). Conditions for oscillation of solutions are studied.