时间尺度上变分法的等周问题
最优化与控制
2012-11-06 v2 经典分析与常微分方程
摘要
我们在具有 rd-连续导数的 delta-可微函数空间中，证明了时间尺度上等周问题的必要最优性条件。随后将这些结果应用于时间尺度上的 Sturm-Liouville 特征值问题。
引用
@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}
}
备注
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"