Periodic solutions for asymptotically linear Hamiltonian system with resonance both at infinity and origin via computation of critical groups

DOI10.1016/j.na.2013.05.009zbMath1317.37062OpenAlexW2037381073MaRDI QIDQ395391

Rong Cheng

Publication date: 29 January 2014

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.2013.05.009

zbMATH Keywords

periodic solutionHamiltonian systemcritical groupresonanceMaslov-type index

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Cites Work

• Existence of periodic solutions for Hamiltonian systems at resonance
• A twist condition and periodic solutions of Hamiltonian systems
• Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems
• Morse theory and asymptotic linear Hamiltonian system
• Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
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• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonian systems.
• Infinite dimensional Morse theory and multiple solution problems
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• Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity
• Computations of critical groups and applications to some differential equations at resonance
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• Solutions of asymptotically linear operator equations via morse theory
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
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• Periodic solutions of asymptotically linear Hamiltonian systems
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