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2014 Necessary Condition for an Euler-Lagrange Equation on Time Scales
Monika Dryl, Delfim F. M. Torres
Abstr. Appl. Anal. 2014(SI19): 1-7 (2014). DOI: 10.1155/2014/631281


We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given.


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Monika Dryl. Delfim F. M. Torres. "Necessary Condition for an Euler-Lagrange Equation on Time Scales." Abstr. Appl. Anal. 2014 (SI19) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022778
MathSciNet: MR3198223
Digital Object Identifier: 10.1155/2014/631281

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI19 • 2014
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