Critical oscillation constant for difference equations with almost periodic coefficients
type: Item
instance of: scholarly article
title: Critical oscillation constant for difference equations with almost periodic coefficients
zbMATH Open document ID: 1253.39006
DOI: 10.1155/2012/471435
author: Petr Hasil
author: Michal Veselý
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly. If the almost periodic coefficients are replaced by constants, our result reduces to the well-known result about the discrete Euler equation.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A21
zbMATH DE Number: 6116408
zbMATH Keywords: Sturm-Liouville difference equations
zbMATH Keywords: almost periodic coefficients
zbMATH Keywords: oscillation
zbMATH Keywords: nonoscillation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/471435
OpenAlex ID: W2158342700
Wikidata QID: Q58695268
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description: scientific article; zbMATH DE number 6116408