Generalized Euler-Lagrange equations for variational problems with scale derivatives
Mathematical Physics
2010-06-01 v1 math.MP
Optimization and Control
Abstract
We obtain several Euler-Lagrange equations for variational functionals defined on a set of H\"older curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are considered.
Cite
@article{arxiv.1003.3133,
title = {Generalized Euler-Lagrange equations for variational problems with scale derivatives},
author = {Ricardo Almeida and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1003.3133},
year = {2010}
}
Comments
Submitted on 03-Aug-2009; accepted for publication 16-March-2010; in "Letters in Mathematical Physics".