Sub-harmonics of first order Hamiltonian systems and their asymptotic behaviors

DOI10.3934/DCDSB.2003.3.643zbMath1083.37526OpenAlexW2001483080MaRDI QIDQ1430332

Xiangjin Xu

Publication date: 27 May 2004

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2003.3.643

zbMATH Keywords

asymptotic behaviourHamiltonian systemsub-harmonic solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (5)

On the existence of periodic and homoclinic orbits for first order superquadratic Hamiltonian systems ⋮ Brake subharmonic solutions of first order Hamiltonian systems ⋮ Existence and subharmonicity of solutions for nonlinear non-smooth periodic systems with a \(p\)-Laplacian ⋮ Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems ⋮ Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations

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