Conditional oscillation of half-linear differential equations with coefficients having mean values
type: Item
instance of: scholarly article
title: Conditional oscillation of half-linear differential equations with coefficients having mean values
zbMATH Open document ID: 1476.34090
DOI: 10.1155/2014/258159
author: Petr Hasil
author: Robert Mařík
author: Michal Veselý
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We prove that the existence of the mean values of coefficients is sufficient for second-order half-linear Euler-type differential equations to be conditionally oscillatory. We explicitly find an oscillation constant even for the considered equations whose coefficients can change sign. Our results cover known results concerning periodic and almost periodic positive coefficients and extend them to larger classes of equations. We give examples and corollaries which illustrate cases that our results solve. We also mention an application of the presented results in the theory of partial differential equations.
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 37C60
zbMATH DE Number: 7022018
zbMATH Keywords: Euler-type differential equations
zbMATH Keywords: conditionally oscillatory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/258159
OpenAlex ID: W2065667276
Wikidata QID: Q59037065
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description: scientific article; zbMATH DE number 7022018