New existence results on periodic solutions of non-autonomous second order Hamiltonian systems

DOI10.1016/j.aml.2017.11.016zbMath1461.37067OpenAlexW2771202817MaRDI QIDQ1996376

Yanyan Li

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.016

zbMATH Keywords

periodic solutionscritical point theorynew saddle point theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonautonomous smooth dynamical systems (37C60) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (12)

Existence of periodic solutions for a class of damped vibration problems ⋮ New results on periodic solutions for second order damped vibration systems ⋮ Periodic and subharmonic solutions for a class of superquadratic first order Hamiltonian systems ⋮ Multiplicity of periodic solutions for a class of second-order perturbed Hamiltonian systems ⋮ A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES ⋮ Unnamed Item ⋮ Multiplicity of periodic solutions for second order Hamiltonian systems with asymptotically quadratic conditions ⋮ Periodic solutions for a four-dimensional hyperchaotic system ⋮ Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions ⋮ Notes on multiple periodic solutions for second order Hamiltonian systems ⋮ Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects

Cites Work

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• Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems
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• New existence of periodic solutions for second order non-autonomous Hamiltonian systems
• Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential
• New linking theorems
• Critical point theory and Hamiltonian systems
• On periodic solutions of subquadratic second order non-autonomous Hamiltonian systems
• Periodic solutions for a class of new superquadratic second order Hamiltonian systems
• Some notes on a superlinear second order Hamiltonian system
• Non-autonomous second order Hamiltonian systems
• Periodic solutions of second-order nonautonomous dynamical systems
• On subharmonic solutions of hamiltonian systems
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Selected new aspects of the calculus of variations in the large

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