A periodic solution for a second-order asymptotically linear Hamiltonian system

DOI10.1016/j.na.2008.08.009zbMath1167.34345OpenAlexW2019792986MaRDI QIDQ1015837

Jin Chen, Fukun Zhao, Min-Bo Yang

Publication date: 30 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.2008.08.009

zbMATH Keywords

periodic solutioncritical pointsecond-order Hamiltonian system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to ordinary differential equations (34C25)

Related Items (10)

Infinitely many periodic solutions for a class of second-order Hamiltonian systems ⋮ Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems ⋮ Some notes on a superlinear second order Hamiltonian system ⋮ Existence of solutions of elliptic boundary value problems with mixed type nonlinearities ⋮ New results on periodic solutions for second order damped vibration systems ⋮ Multiplicity of periodic solutions for a class of second-order perturbed Hamiltonian systems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES ⋮ Multiplicity of periodic solutions for second order Hamiltonian systems with asymptotically quadratic conditions

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