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A linearization method in oscillation theory of half-linear second-order differential equations

Abstract

Using inequalities for a certain function appearing in the half-linear version of Picone's identity, we show that oscillatory properties of the half-linear second-order differential equation,, can be investigated via oscillatory properties of a certain associated second-order linear differential equation. This linear equation plays the role of a Sturmian majorant, in a certain sense, if, and the role of a minorant if.

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Correspondence to Ondřej Došlý.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Došlý, O., Peña, S. A linearization method in oscillation theory of half-linear second-order differential equations. J Inequal Appl 2005, 658372 (2005). https://doi.org/10.1155/JIA.2005.535

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  • DOI: https://doi.org/10.1155/JIA.2005.535