Nontrivial periodic solutions of asymptotically linear Hamiltonian systems
Electronic journal of differential equations, Tome 2001 (2001)
We study the existence of periodic solutions for some asymptotically linear Hamiltonian systems. By using the Saddle Point Theorem and Conley index theory, we obtain new results under asymptotically linear conditions.
Classification :
58E05, 58F05, 34C25
Keywords: periodic solution, Hamiltonian systems, Conley index, Galerkin approximation
Keywords: periodic solution, Hamiltonian systems, Conley index, Galerkin approximation
@article{EJDE_2001__2001__a114,
author = {Fei, Guihua},
title = {Nontrivial periodic solutions of asymptotically linear {Hamiltonian} systems},
journal = {Electronic journal of differential equations},
year = {2001},
volume = {2001},
zbl = {1001.37052},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a114/}
}
Fei, Guihua. Nontrivial periodic solutions of asymptotically linear Hamiltonian systems. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a114/