Mohsen Timoumi
Abstract:
In this article, we study the existence of periodic and subharmonic
solutions for a class of non-autonomous first-order Hamiltonian systems
such that the nonlinearity has a growth at infinity
faster than
,
.
We also study the minimality of periods for such solutions.
Our results are illustrated by specific examples.
The proofs are based on the least action principle and a generalized
saddle point theorem.
Submitted March 31, 2013. Published September 5, 2013.
Math Subject Classifications: 34C25.
Key Words: Hamiltonian systems; periodic solutions; subharmonic;
minimal periods; generalized 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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