Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations
type: Item
instance of: scholarly article
title: Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations
zbMATH Open document ID: 1291.39035
DOI: 10.1155/2013/432936
author: Michal Veselý
author: Petr Hasil
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 39A21
zbMATH DE Number: 6306834
Wikidata QID: Q58916297
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/432936
OpenAlex ID: W1975043976
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description: scientific article; zbMATH DE number 6306834