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arXiv · 1403.3252

Necessary condition for an Euler-Lagrange equation on time scales

Monika Dryl·Delfim F. M. Torres
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Abstract

We prove a necessary condition for a dynamic integro-differential 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. 2014-03-13. Necessary condition for an Euler-Lagrange equation on time scales. https://doi.org/10.1155/2014%2F631281

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