Skip to content


  • Research Article
  • Open Access

Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation

Boundary Value Problems20102010:945421

  • Received: 2 June 2009
  • Accepted: 19 March 2010
  • Published:


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.


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

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, Liaoning, China


© 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.