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Oscillation of the Emden-Fowler difference systems. (English) Zbl 0976.39003

The authors derive conditions determining the oscillation of the Emden-Fowler system of difference equations, viz., \[ \begin{aligned} & \Delta x_n=b_ng(y_n),\\ & \Delta y_{n-1}=-a_n f(x_n)+r_n,\quad n=1,2,\dots,\end{aligned} \] with appropriate restrictive conditions on \(r_n\), \(b_n\) and \(a_n\).

MSC:

39A11 Stability of difference equations (MSC2000)
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