Boundary Value Problems

, 2010:945421 | Cite as

Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation

Open Access
Research Article
  • 847 Downloads

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.

Keywords

Differential Equation Partial Differential Equation Ordinary Differential Equation Periodic Solution Functional Equation 

Publisher note

To access the full article, please see PDF.

Copyright information

© 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.

Authors and Affiliations

  1. 1.School of Mathematical SciencesDalian University of TechnologyDalianChina

Personalised recommendations