Multiplicity of periodic solutions for a class of second-order perturbed Hamiltonian systems

DOI10.1016/j.jmaa.2020.124386zbMath1477.34066OpenAlexW3043028342MaRDI QIDQ2207678

Fei Guo, Yan Liu

Publication date: 23 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124386

zbMATH Keywords

multiplicityperiodic solutionssuperquadraticBolle's perturbation methodsecond-order perturbed Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Existence and multiplicity of mild solutions for first-order Hamilton random impulsive differential equations with Dirichlet boundary conditions ⋮ Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions ⋮ Notes on multiple periodic solutions for second order Hamiltonian systems

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