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

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.