Periodic Solutions of Hamiltonian Systems.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The existence of periodic solutions of Hamiltonian systems of ordinary differential equations is proved in various settings. A case in which energy is prescribed is treated in Section 1. Both free and forced vibration problems, where the period is fixed, are studied in Section 2. The proofs involve finite dimensional approximation arguments, variational methods, and appropriate estimates. Author
- Theoretical Mathematics