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Abstract and Applied Analysis
Volume 2009 (2009), Article ID 974394, 14 pages
doi:10.1155/2009/974394

Necessary conditions for a class of optimal control problems on time scales

Zaidong Zhan and W. Wei

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

Abstract

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.