Necessary condition for an Euler-Lagrange equation on time scales

Published 13 Mar 2014 in math.OC | (1403.3252v1)

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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