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Oscillation and non-oscillation for second-order linear difference equations - MaRDI portal

Oscillation and non-oscillation for second-order linear difference equations (Q2573574)

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Oscillation and non-oscillation for second-order linear difference equations
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    Oscillation and non-oscillation for second-order linear difference equations (English)
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    22 November 2005
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    Oscillation and non-oscillation theorems are proved for the second-order linear difference equation \[ \Delta^2x_{n-1} + p_{n}x_{n} = 0 \] when \((p_{n})\) is a real nonnegative sequence. The main results are discrete analogues of some theorems of Wong for second order ordinary differential equations and generalize earlier results of Zhang and Zhou.
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    oscillation
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    non-oscillation
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    difference equation
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