Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations (Q2015542)
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scientific article; zbMATH DE number 6306834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations |
scientific article; zbMATH DE number 6306834 |
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Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations (English)
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23 June 2014
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Summary: We analyse half-linear difference equations with asymptotically almost periodic coefficients. Using the adapted Riccati transformation, we prove that these equations are conditionally oscillatory. We explicitly find a constant, determined by the coefficients of a given equation, which is the borderline between the oscillation and the nonoscillation of the equation. We also mention corollaries of our result with several examples.
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