Multiple periodic solutions of asymptotically linear Hamiltonian systems via Conley index theory
Keywords
Periodic solution, Hamiltonian systems, Conley index, Maslov-type index, Galerkin approximationAbstract
In this paper we study the existence of periodic solutions of asymptotically linear Hamiltonian systems which may not satisfy the Palais-Smale condition. By using the Conley index theory and the Galerkin approximation methods, we establish the existence of at least two nontrivial periodic solutions for the corresponding systems.Downloads
Published
2004-03-01
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1.
FEI, Guihua. Multiple periodic solutions of asymptotically linear Hamiltonian systems via Conley index theory. Topological Methods in Nonlinear Analysis. Online. 1 March 2004. Vol. 23, no. 1, pp. 89 - 114. [Accessed 29 March 2024].
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