Multiple periodic solutions of Hamiltonian systems with strong resonance at infinity

Laura Olian Fannio

doi:10.3934/dcds.1997.3.251

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1997, Volume 3, Issue 2: 251-264. Doi: 10.3934/dcds.1997.3.251

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Multiple periodic solutions of Hamiltonian systems with strong resonance at infinity

Laura Olian Fannio^1,

1.
Dipartimento di Matematica, Università Cattolica del Sacro Cuore, Via Trieste 17, I 25121 Brescia

Received: September 30, 1996

Published: March 1997

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Abstract

An asymptotically linear Hamiltonian system with strong resonance at infinity is considered. The existence of multiple periodic solutions is proved via variational methods in an equivariant setting.

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Mathematics Subject Classification: Primary: 70H05; Secondary: 58E05.

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