Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation

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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Affiliations

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

   • Zhiqing Han

Corresponding author

Correspondence to Zhiqing Han.

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