Notes on a Theorem of Benci-Gluck-Ziller-Hayashi
Classical Analysis and ODEs
2013-07-31 v1 Mathematical Physics
math.MP
Abstract
We use constrained variational minimizing methods to study the existence of periodic solutions with a prescribed energy for a class of second order Hamiltonian systems with a potential function which may have an unbounded potential well. Our result can be regarded as complementary to the well-known theorem of Benci-Gluck-Ziller and Hayashi.
Keywords
Cite
@article{arxiv.1307.7971,
title = {Notes on a Theorem of Benci-Gluck-Ziller-Hayashi},
author = {Fengying Li and Shiqing Zhang},
journal= {arXiv preprint arXiv:1307.7971},
year = {2013}
}