On resonance Hamiltonian systems without the Palais-Smale condition

Guihua Fei

doi:10.1016/j.na.2002.11.001

On resonance Hamiltonian systems without the Palais-Smale condition

Guihua Fei

Mathematics & Statistics

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Abstract

In this paper, we study periodic solutions of resonance Hamiltonian systems. By combining Conley index theory and Galerkin approximation method, we prove the existence of periodic solutions of Hamiltonain systems where both the Palais-Smale condition and the strong resonance method fail.

Original language	English (US)
Pages (from-to)	1041-1056
Number of pages	16
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	61
Issue number	6
DOIs	https://doi.org/10.1016/j.na.2002.11.001
State	Published - Jun 1 2005

Keywords

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

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title = "On resonance Hamiltonian systems without the Palais-Smale condition",

abstract = "In this paper, we study periodic solutions of resonance Hamiltonian systems. By combining Conley index theory and Galerkin approximation method, we prove the existence of periodic solutions of Hamiltonain systems where both the Palais-Smale condition and the strong resonance method fail.",

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KW - Galerkin approximation

KW - Hamiltonian systems

KW - Maslov-type index

KW - Periodic solution

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On resonance Hamiltonian systems without the Palais-Smale condition

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Keywords

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