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Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 5, Pages 495-507
doi:10.1155/JIA.2005.495

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

Pavel Řehák

Mathematical Institute, Academy of Sciences of the Czech Republic, Žižkova 22, Brno 61662, Czech Republic

Received 30 October 2003; Revised 3 January 2004

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.