Higher-order Hahn's quantum variational calculus
Optimization and Control
2011-11-11 v1 Classical Analysis and ODEs
Abstract
We prove a necessary optimality condition of Euler-Lagrange type for quantum variational problems involving Hahn's derivatives of higher-order.
Cite
@article{arxiv.1101.3653,
title = {Higher-order Hahn's quantum variational calculus},
author = {Artur M. C. Brito da Cruz and Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1101.3653},
year = {2011}
}
Comments
Submitted 30-Sep-2010; revised 4-Jan-2011; accepted 19-Jan-2011; for publication in Nonlinear Analysis Series A: Theory, Methods & Applications