Isoperimetric Problems of the Calculus of Variations on Time Scales
Optimization and Control
2012-11-06 v2 Classical Analysis and ODEs
Abstract
We prove a necessary optimality condition for isoperimetric problems on time scales in the space of delta-differentiable functions with rd-continuous derivatives. The results are then applied to Sturm-Liouville eigenvalue problems on time scales.
Keywords
Cite
@article{arxiv.0805.0278,
title = {Isoperimetric Problems of the Calculus of Variations on Time Scales},
author = {Rui A. C. Ferreira and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0805.0278},
year = {2012}
}
Comments
Changes suggested by the referee. This is the preprint version accepted (July 16, 2008) for publication in the Proceedings of the Conference on Nonlinear Analysis and Optimization, June 18-24, 2008, Technion, Haifa, Israel, and to appear in "Contemporary Mathematics"