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Oscillation for system of delay difference equations. (English) Zbl 0920.39003

Consider the system of difference equations \[ x_i(t)-x_i(t-\sigma) +\sum^l_{k=1} \sum^n_{j=1}p_{ijk} x_j(t-\tau_k)=0,\;i=1,2,\dots, n,\tag{*} \] where \(p_{ijk}\in\mathbb{R}\), \(\sigma\) and \(\tau_k\in (0,\infty)\), \(i,j=1,2, \dots, n\), \(k=1,2,\dots,l\). The aim of this paper is to study the oscillatory behavior of solutions of (*) by two comparison theorems, using, with that end in view, a scalar difference equation.

MSC:

39A12 Discrete version of topics in analysis
39A10 Additive difference equations
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References:

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