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Zbl 0920.39003
Yan, Jurang; Zhang, Fengqin
Oscillation for system of delay difference equations.
(English)
[J] J. Math. Anal. Appl. 230, No.1, 223-231 (1999). ISSN 0022-247X

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 $p_{ijk}\in\bbfR$, $\sigma$ 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.
[P.Talpalaru (Iaşi)]
MSC 2000:
*39A12 Discrete version of topics in analysis
39A10 Difference equations

Keywords: system of delay difference equations; oscillatory behavior; comparison theorems

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