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Existence of periodic solutions for sub-linear first-order Hamiltonian systems

Authors :
Mohsen Timoumi
Source :
Electronic Journal of Differential Equations, Vol 2015, Iss 134,, Pp 1-15 (2015)
Publication Year :
2015
Publisher :
Texas State University, 2015.

Abstract

We prove the existence solutions for the sub-linear first-order Hamiltonian system $J\dot{u}(t)+Au(t)+\nabla H(t,u(t))=h(t)$ by using the least action principle and a version of the Saddle Point Theorem.

Details

Language :
English
ISSN :
10726691
Volume :
2015
Issue :
134,
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.2dbd369c90aa4fccbd448c7214b57916
Document Type :
article