Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems

DOI10.1016/J.JDE.2009.11.013zbMath1207.34049OpenAlexW1994566022MaRDI QIDQ964988

Shiwang Ma

Publication date: 21 April 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.11.013

zbMATH Keywords

Morse theoryperiodic solutioncritical groupsecond-order Hamiltonian system

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) Variational principles in infinite-dimensional spaces (58E30)

Related Items (11)

Infinitely many periodic solutions for asymptotically linear Hamiltonian systems ⋮ Infinitely many solutions for a generalized periodic boundary value problem without the evenness assumption ⋮ Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups ⋮ Periodic solutions for asymptotically linear Hamiltonian system with resonance both at infinity and origin via computation of critical groups ⋮ Infinitely many rotating periodic solutions for second-order Hamiltonian systems ⋮ Existence and multiplicity of rotating periodic solutions for Hamiltonian systems with a general twist condition ⋮ Multiplicity of periodic solutions for a higher order difference equation ⋮ Nontrivial periodic motions for resonant type asymptotically linear lattice dynamical systems ⋮ Rotating periodic solutions for super-linear second order Hamiltonian systems ⋮ Existence of solutions for second-order Hamiltonian systems with resonance ⋮ Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems

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