Abstract
The purpose of this paper is to prove oscillation criterion for dynamic system \begin{equation*} u^{\Delta }=pv,\qquad v^{\Delta }=-qu^{\sigma }, \end{equation*}% where $p>0$ and $q$ are rd-continuous functions on a time scale such that $% \sup \mathbb{T=\infty }$ without explicit sign assumptions on $q$ and also without restrictive conditions on the time scale $\mathbb{T}.$
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