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Hardy inequality on time scales and its application to half-linear dynamic equations

Abstract

A time-scale version of the Hardy inequality is presented, which unifies and extends well-known Hardy inequalities in the continuous and in the discrete setting. An application in the oscillation theory of half-linear dynamic equations is given.

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Correspondence to Pavel Řehák.

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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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Řehák, P. Hardy inequality on time scales and its application to half-linear dynamic equations. J Inequal Appl 2005, 942973 (2005). https://doi.org/10.1155/JIA.2005.495

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  • DOI: https://doi.org/10.1155/JIA.2005.495