Hahn's Symmetric Quantum Variational Calculus
Optimization and Control
2013-01-31 v1
Abstract
We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler-Lagrange type and a sufficient optimality condition for variational problems within the context of Hahn's symmetric calculus. Moreover, we show the effectiveness of Leitmann's direct method when applied to Hahn's symmetric variational calculus. Illustrative examples are provided.
Keywords
Cite
@article{arxiv.1209.1530,
title = {Hahn's Symmetric Quantum Variational Calculus},
author = {Artur M. C. Brito da Cruz and Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1209.1530},
year = {2013}
}
Comments
This is a preprint of a paper whose final and definite form will appear in the international journal Numerical Algebra, Control and Optimization (NACO). Paper accepted for publication 06-Sept-2012