Necessary Condition for an Euler-Lagrange Equation on Time Scales

Monika Dryl and Delfim F. M. Torres

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:631281

DOI: 10.1155/2014/631281

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