On resonance Hamiltonian systems without the Palais-Smale condition

DOI10.1016/J.NA.2002.11.001zbMath1135.37324OpenAlexW2046892972MaRDI QIDQ1780782

Guihua Fei

Publication date: 13 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2002.11.001

zbMATH Keywords

Hamiltonian systemsPeriodic solutionConley indexGalerkin approximationMaslov-type index

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Index theory for dynamical systems, Morse-Conley indices (37B30)

Cites Work

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• Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
• Critical point theory and Hamiltonian systems
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• Nontrivial periodic solutions for strong resonance Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• Cohomology and Morse theory for strongly indefinite functionals
• Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity
• Morse theory for asymptotically linear Hamiltonian systems
• Solutions of asymptotically linear operator equations via morse theory
• The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Periodic solutions of asymptotically linear Hamiltonian systems
• Periodic solutions of asymptotically linear Hamiltonian systems
• Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems

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