The delta-nabla calculus of variations
Optimization and Control
2010-05-25 v1
Abstract
The discrete-time, the quantum, and the continuous calculus of variations have been recently unified and extended. Two approaches are followed in the literature: one dealing with minimization of delta integrals; the other dealing with minimization of nabla integrals. Here we propose a more general approach to the calculus of variations on time scales that allows to obtain both delta and nabla results as particular cases.
Cite
@article{arxiv.0912.0494,
title = {The delta-nabla calculus of variations},
author = {Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0912.0494},
year = {2010}
}
Comments
Accepted for publication (02/December/2009) in Fasciculi Mathematici