Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential

DOI10.1016/j.na.2008.07.023zbMath1179.34037OpenAlexW2078553101MaRDI QIDQ1012080

Zhiyong Wang, Ji Hui Zhang, Zhi-tao Zhang

Publication date: 14 April 2009

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.2008.07.023

zbMATH Keywords

periodic solutionsgeneralized mountain pass theoremHamiltonian systemlocally superquadractic potential

Mathematics Subject Classification ID

Related Items (17)

Existence of periodic solutions for a class of damped vibration problems ⋮ Ground state solutions for non-autonomous dynamical systems ⋮ Some notes on a superlinear second order Hamiltonian system ⋮ Existence of nonconstant periodic solutions for a class of second-order systems with \(p(t)\)-Laplacian ⋮ Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem ⋮ Non-autonomous second order Hamiltonian systems ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES ⋮ Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems ⋮ Nonconstant periodic solutions for a class of ordinary \(p\)-Laplacian systems ⋮ New existence results on periodic solutions of non-autonomous second order Hamiltonian systems ⋮ New existence of periodic solutions for second order non-autonomous Hamiltonian systems ⋮ Multiplicity of periodic solutions for second order Hamiltonian systems with asymptotically quadratic conditions ⋮ Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions ⋮ Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects ⋮ On periodic solutions of subquadratic second order non-autonomous Hamiltonian systems ⋮ Solvability of a class of impulsive damped vibration problems ⋮ Existence of nonconstant periodic solutions for \(p(t)\)-Laplacian Hamiltonian system

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• Periodic and subharmonic solutions of second-order Hamiltonian systems
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• Applications of local linking to critical point theory
• Periodic solutions of second-order nonautonomous dynamical systems
• Periodic non-autonomous second-order dynamical systems
• On subharmonic solutions of hamiltonian systems
• Existence of periodic solutions of Hamiltonian systems with potential indefinite in sign
• Selected new aspects of the calculus of variations in the large
• Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials

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