Calculus of Variations on Time Scales with Nabla Derivatives
Optimization and Control
2009-11-13 v1 Classical Analysis and ODEs
Abstract
We prove a necessary optimality condition of Euler-Lagrange type for variational problems on time scales involving nabla derivatives of higher-order. The proof is done using a new and more general fundamental lemma of the calculus of variations on time scales.
Cite
@article{arxiv.0807.2596,
title = {Calculus of Variations on Time Scales with Nabla Derivatives},
author = {Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0807.2596},
year = {2009}
}
Comments
Partially presented at the Fifth World Congress of Nonlinear Analysts (WCNA-2008), Orlando, Florida, July 2-9, 2008