Research Article
Open Access
Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation
- Zhiqing Han1Email author
Received: 2 June 2009
Accepted: 19 March 2010
Published: 6 April 2010
Abstract
We investigate the existence of periodic solutions of linear Hamiltonian systems with a nonlinear perturbation. Under generalized Ahmad-Lazer-Paul type coercive conditions for the nonlinearity on the kernel of the linear part, existence of periodic solutions is obtained by saddle point theorems. A note on a result of Rabinowitz is also given.
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Authors’ Affiliations
(1)
School of Mathematical Sciences, Dalian University of Technology
Copyright
© Zhiqing Han. 2010
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
