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.
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