Notes on a Theorem of Benci-Gluck-Ziller-Hayashi

Zhang Shiqing

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Notes on a Theorem of Benci-Gluck-Ziller-Hayashi

Zhang Shiqing *

Mathematical School, Sichuan University

*Correspondence author

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Funding: none

Opened online:27 September 2009

Accepted by: none

Citation: Zhang Shiqing.Notes on a Theorem of Benci-Gluck-Ziller-Hayashi[OL]. [27 September 2009] http://en.paper.edu.cn/en_releasepaper/content/35509

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 C^2 potential V function which has an unbounded upper level set, our result can be regarded as a complementary of the well-known Theorem of Benci-Gluck-Ziller and Hayashi.

Keywords:C^2 second order Hamiltonian systems;periodic solutions;constrained variational minimizing methods

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