A General Backwards Calculus of Variations via Duality
Optimization and Control
2011-09-27 v1
Abstract
We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an arbitrary time scale. As an application, we get optimality conditions for the product and the quotient of nabla variational functionals.
Cite
@article{arxiv.1007.1679,
title = {A General Backwards Calculus of Variations via Duality},
author = {Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1007.1679},
year = {2011}
}
Comments
Submitted to Optimization Letters 03-June-2010; revised 01-July-2010; accepted for publication 08-July-2010