- Research Article
- Open Access
Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation
© Zhiqing Han. 2010
- Received: 2 June 2009
- Accepted: 19 March 2010
- Published: 6 April 2010
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
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