We prove the existence solutions for the sub-linear first-order Hamiltonian system by using the least action principle and a version of the Saddle Point Theorem.
Submitted March 13, 2014. Published May 15, 2015.
Math Subject Classifications: 34C25.
Key Words: Hamiltonian systems; periodic solutions; saddle point theorem; least action principle; sub-linear conditions.
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| Mohsen Timoumi |
Department of Mathematics
Faculty of Sciences
5000 Monastir, Tunisia
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