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

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

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.