Mohsen Timoumi
Abstract:
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 email: m_timoumi@yahoo.com |
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