多时间 Hamilton 方程周期解所满足的若干不等式
动力系统
2007-05-23 v1 偏微分方程分析
摘要
本文的目标是寻找当 Hamiltonian 为凸时多时间 Hamilton 系统周期解所满足的若干不等式。据我们所知，这一阶场论课题仍未解决。第 1 节回顾 Euler-Lagrange 方程与 Hamilton 方程等价性的已知事实，并分析导出多时间 Hamilton 方程的作用量，强调多辛结构的作用。第 2 节将 [21] 中的两个不等式从立方体推广到平行六面体，并证明关于多时间 Hamilton 方程多重周期解的两个不等式。
引用
@article{arxiv.math/0510557,
title = {Some Inequalities Satisfied by Periodical Solutions of Multi-Time Hamilton Equations},
author = {Iulian Duca and Constantin Udriste},
journal= {arXiv preprint arXiv:math/0510557},
year = {2007}
}
备注
14 pages, Key words: multi-time Hamilton action, Wirtinger inequality, convex Hamiltonian; Communicated at 5-th Conference of Balkan Society of Geometers (5-th Conference on Differential Geometry), August 28- September 2, 2005, Mangalia, Romania