Cresson量子演算框架下不可微哈密顿系统的亥姆霍兹定理
最优化与控制
2016-05-19 v3 泛函分析
摘要
我们在 Cresson 量子演算框架下推导不可微哈密顿系统的亥姆霍兹定理。确切地说，我们给出一个刻画承认哈密顿表述的不可微方程的定理。此外，在肯定情况下，我们给出关联的哈密顿量。
引用
@article{arxiv.1601.02602,
title = {Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus},
author = {Frédéric Pierret and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1601.02602},
year = {2016}
}
备注
This is a preprint of a paper whose final and definite form is in 'Discrete Dynamics in Nature and Society', ISSN: 1026-0226 (Print), ISSN: 1607-887X (Online), available at [http://dx.doi.org/10.1155/2016/8073023]. Submitted 23-Jan-2016; Revised 21-Feb-2016; Accepted 28-April-2016. Minor corrections, detected during the reading of the proofs, were done in this third version of the preprint. arXiv admin note: text overlap with arXiv:1405.2996