Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign

DOI10.1016/S0362-546X(01)00895-1zbMath1157.37329OpenAlexW1983007816WikidataQ58005404 ScholiaQ58005404MaRDI QIDQ5917411

Zhiming Guo, Yuan-Tong Xu

Publication date: 28 November 2002

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/s0362-546x(01)00895-1

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 (12)

Homoclinic solutions of nonlinear second-order Hamiltonian systems ⋮ Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential ⋮ Ground state solutions for non-autonomous dynamical systems ⋮ Periodic solutions of second-order difference problem with potential indefinite in sign ⋮ Some notes on a superlinear second order Hamiltonian system ⋮ Existence solutions for second order Hamiltonian systems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Periodic solutions of second order discrete Hamiltonian systems with potential indefinite in sign ⋮ Infinite periodic solutions to a class of second-order Sturm-Liouville neutral differential equations ⋮ Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign ⋮ Periodic second order superlinear Hamiltonian systems ⋮ Existence result for periodic solutions of a class of Hamiltonian systems with super quadratic potential

Cites Work

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• Solutions of minimal period for a class of convex Hamiltonian systems
• Periodic solutions of a second order superquadratic system with a change of sign in the potential
• Multiple homoclinic orbits for a class of conservative systems
• Existence and multiplicity results for homogeneous second order differential equations
• Existence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign
• Solutions périodiques d'un système différentiel non linéaire du second ordre avec changement de signe. (Periodic solutions of a nonlinear second order differential system with change of sign)
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Existence of periodic solutions of Hamiltonian systems with potential indefinite in sign

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