Necessary Condition for an Euler‐Lagrange Equation on Time Scales

Monika Dryl and Delfim F. M. Torres

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/631281

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:631281

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