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On resonance Hamiltonian systems without the Palais-Smale condition

Article ID Journal Published Year Pages File Type
10427258 Nonlinear Analysis: Theory, Methods & Applications 2005 16 Pages PDF
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.
Keywords
34C2558E0558F05Galerkin approximationPeriodic solutionHamiltonian systemsMaslov-type indexConley index
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
On resonance Hamiltonian systems without the Palais-Smale condition
Authors
Guihua Fei,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
34C25
58E05
58F05
Galerkin approximation
Periodic solution
Hamiltonian systems
Maslov-type index
Conley index
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