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Oscillation of certain difference equations. (English) Zbl 1051.39005
Summary: Some new criteria for the oscillation of difference equations of the form $\Delta ^2 x_n - p_n \Delta x_{n-h} + q_n | x_{g_n}| ^c \text{sgn} \;x_{g_n} = 0$ and $\Delta ^i x_n + p_n \Delta ^{i-1} x_{n-h} + q_n | x_{g_n}| ^c \text{sgn} \;x_{g_n} = 0, \;i = 2,3,$ are established.
##### MSC:
 39A11 Stability of difference equations (MSC2000) 39A10 Additive difference equations
##### Keywords:
difference equations; oscillation
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##### References:
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