Multiple periodic solutions of asymptotically linear Hamiltonian systems via Conley index theory

Guihua Fei

DOI: http://dx.doi.org/10.12775/TMNA.2004.005

Abstract


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.

Keywords


Periodic solution; Hamiltonian systems; Conley index; Maslov-type index; Galerkin approximation

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