Abstract and Applied Analysis
Volume 2009 (2009), Article ID 974394, 14 pages
Research Article

Necessary Conditions for a Class of Optimal Control Problems on Time Scales

Department of Mathematics, Guizhou University, Guiyang Guizhou 550025, China

Received 15 October 2008; Revised 6 December 2008; Accepted 25 February 2009

Academic Editor: Ülle Kotta

Copyright © 2009 Zaidong Zhan and W. Wei. 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.


Based on the Gateaux differential on time scales, we investigate and establish necessary conditions for Lagrange optimal control problems on time scales. Moreover, we present an economic model to demonstrate the effectiveness of our results.