Oscillation and Nonoscillation of Asymptotically Almost Periodic Half‐Linear Difference Equations

Michal Veselý and Petr Hasil

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/432936

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:432936

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