Geodesic
On periodic solutions of superquadratic Hamiltonian systems
Electronic journal of differential equations, Tome 2002 (2002)
We study the existence of periodic solutions for some Hamiltonian systems $\dot z=JH_{z}(t,z)$ under new superquadratic conditions which cover the case $H(t,z)=|z|^{2}(\ln (1+|z|^{p}))^q $ with $p, q greater than 1$. By using the linking theorem, we obtain some new results.
Classification : 58E05, 58F05, 34C25
Keywords: periodic solution, Hamiltonian system, linking theorem 
@article{EJDE_2002__2002__a190,
     author = {Fei,  Guihua},
     title = {On periodic solutions of superquadratic {Hamiltonian} systems},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {0999.37039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a190/}
}
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VL  - 2002
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%A Fei,  Guihua
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%J Electronic journal of differential equations
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Fei,  Guihua. On periodic solutions of superquadratic Hamiltonian systems. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a190/