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Nonoscillation and oscillation of second order half-linear difference equations - MaRDI portal

Nonoscillation and oscillation of second order half-linear difference equations (Q2479175)

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Nonoscillation and oscillation of second order half-linear difference equations
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    Nonoscillation and oscillation of second order half-linear difference equations (English)
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    26 March 2008
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    Conditions of oscillatory and non-oscillatory behavior for the second order, half linear difference equation of the form \[ \Delta(| \Delta x_{n-1}| ^{r-1}\Delta x_{n-1}) + q_n| x_n| ^{r-1}x_n = 0,\quad r>0,\;q_n\geq 0 \] are given.
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    oscillation
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    non-oscillation
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    second order
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    half linear difference equation
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