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.
"Necessary Conditions for a Class of Optimal Control Problems on Time Scales." Abstr. Appl. Anal. 2009 1 - 14, 2009. https://doi.org/10.1155/2009/974394