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Subharmonic solutions for first-order Hamiltonian systems
- Source :
- Electronic Journal of Differential Equations, Vol 2013, Iss 197,, Pp 1-14 (2013)
- Publication Year :
- 2013
- Publisher :
- Texas State University, 2013.
-
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 $|x|^{\alpha}$, $0\leq\alpha < 1$. 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.
Details
- Language :
- English
- ISSN :
- 10726691
- Volume :
- 2013
- Issue :
- 197,
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8bff7ba7b914e6bb66252175bd0821d
- Document Type :
- article