Geodesic
Existence of periodic solutions for sub-linear first-order Hamiltonian systems
Electronic journal of differential equations, Tome 2015 (2015)
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.
Classification : 34C25
Keywords: Hamiltonian systems, periodic solutions, saddle point theorem, least action principle, sub-linear conditions 
@article{EJDE_2015__2015__a84,
     author = {Timoumi,  Mohsen},
     title = {Existence of periodic solutions for sub-linear first-order {Hamiltonian} systems},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1353.34049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a84/}
}
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JO  - Electronic journal of differential equations
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VL  - 2015
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%0 Journal Article
%A Timoumi,  Mohsen
%T Existence of periodic solutions for sub-linear first-order Hamiltonian systems
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a84/
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%F EJDE_2015__2015__a84
Timoumi,  Mohsen. Existence of periodic solutions for sub-linear first-order Hamiltonian systems. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a84/