Boundary Value Problems volume 2010, Article number: 945421 (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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Han, Z. Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation. Bound Value Probl 2010, 945421 (2010). https://doi.org/10.1155/2010/945421
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DOI: https://doi.org/10.1155/2010/945421