Existence of periodic solutions of Hamiltonian systems with potential indefinite in sign

DOI10.1016/S0362-546X(96)00190-3zbMath0894.34036MaRDI QIDQ4379693

Flavia Antonacci

Publication date: 14 September 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionssecond-order equationsvariational solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (24)

Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems ⋮ 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 ⋮ On periodic solutions of a class of second order nonautonomous systems with nonhomogeneous potentials indefinite in sign ⋮ Periodic solutions of second-order difference problem with potential indefinite in sign ⋮ Ground state periodic solutions of second order Hamiltonian systems without spectrum 0 ⋮ Some notes on a superlinear second order Hamiltonian system ⋮ Infinitely many solutions for Hamiltonian systems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Periodic solutions of second order discrete Hamiltonian systems with potential indefinite in sign ⋮ Multiple periodic solutions for damped vibration systems with general nonlinearities at infinity ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES ⋮ Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0 ⋮ Infinitely many periodic solutions for second order Hamiltonian systems ⋮ Periodic solutions of asymptotically linear second order equations with indefinite weight ⋮ Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign ⋮ Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign ⋮ Periodic second order superlinear Hamiltonian systems ⋮ Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential ⋮ Periodic and subharmonic solutions for a class of superquadratic second order Hamiltonian systems ⋮ Periodic solutions for second order Hamiltonian systems with a change sign potential ⋮ Inifinitely many solutions for a Floquet-type BVP with superlinearity indefinite in sign ⋮ Existence result for periodic solutions of a class of Hamiltonian systems with super quadratic potential

Cites Work

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• Critical point theorems for indefinite functionals
• 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
• On semilinear elliptic equations with indefinite nonlinearities
• 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
• Periodic solutions of hamiltonian systems

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