Abstract and Applied Analysis

A Note on the Minimal Period Problem for Second Order Hamiltonian Systems

Huafeng Xiao

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Abstract

We study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order Hamiltonian systems. Our results generalize the outcome in the literature.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 385381, 7 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049844

Digital Object Identifier
doi:10.1155/2014/385381

Mathematical Reviews number (MathSciNet)
MR3273909

Zentralblatt MATH identifier
07022281

Citation

Xiao, Huafeng. A Note on the Minimal Period Problem for Second Order Hamiltonian Systems. Abstr. Appl. Anal. 2014 (2014), Article ID 385381, 7 pages. doi:10.1155/2014/385381. https://projecteuclid.org/euclid.aaa/1425049844


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