Advances in Difference Equations
Volume 2009 (2009), Article ID 496135, 12 pages
doi:10.1155/2009/496135
Research Article

Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales

Chao Zhang and Shurong Sun

School of Science, University of Jinan, Jinan, Shandong 250022, China

Received 29 December 2008; Revised 13 March 2009; Accepted 28 May 2009

Academic Editor: Alberto Cabada

Copyright © 2009 Chao Zhang and Shurong Sun. 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

This paper studies Sturm-Picone comparison theorem of second-order linear equations on time scales. We first establish Picone identity on time scales and obtain our main result by using it. Also, our result unifies the existing ones of second-order differential and difference equations.