Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient (Q1021892)

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scientific article; zbMATH DE number 5563172
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Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient
scientific article; zbMATH DE number 5563172

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    Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient (English)
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    9 June 2009
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    Concerning the difference equation \[ \Delta^n[y(k)+p(k)y(\tau(k))] +q(k)y (\sigma(k))=0 \] conditions are given such that every bounded solution is either oscillatory or tending to zero as \(k\to\infty\).
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    linear difference equation
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    higher order difference equation
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    neutral difference equation
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    oscillating coefficient
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    bounded solutions
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    oscillations
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    convergence to zero
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