Necessary condition for an Euler-Lagrange equation on time scales
Optimization and Control
2017-01-09 v1
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.
Cite
@article{arxiv.1403.3252,
title = {Necessary condition for an Euler-Lagrange equation on time scales},
author = {Monika Dryl and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1403.3252},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is: Abstract and Applied Analysis 2014, Article ID 631281, http://dx.doi.org/10.1155/2014/631281