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

Journal of Inequalities and Applications20052005:658372

Received: 22 December 2003

Published: 31 October 2005


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 .

Authors’ Affiliations

Department of Mathematics, Masaryk University, Brno, Czech Republic


© Došlý and Peña 2005