In this article, we prove the existence of subharmonic solutions for the non-autonomous second-order Hamiltonian system . Also we study the minimality of their periods, when the nonlinearity grows faster than , at infinity. The proof is based on the Least Action Principle and the Saddle Point Theorem.
Submitted March 9, 2012. Published October 12, 2012.
Math Subject Classifications: 34C25.
Key Words: Hamiltonian systems; subharmonics; minimal periods; saddle point theorem.
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| Mohsen Timoumi |
Department of Mathematics, Faculty of Sciences
5000 Monastir, Tunisia
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