Three periodic solutions for perturbed second order Hamiltonian systems

DOI10.1016/J.JMAA.2009.06.049zbMath1185.34048OpenAlexW2072518953MaRDI QIDQ837617

Giuseppe Cordaro, Giuseppe Rao

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.049

zbMATH Keywords

periodic solutionscritical pointsecond order Hamiltonian systems

Mathematics Subject Classification ID

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

Related Items (16)

Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth ⋮ Unnamed Item ⋮ Unnamed Item ⋮ New results for perturbed Hamiltonian systems with impulses ⋮ Infinitely many solutions for second-order Hamiltonian system with impulsive effects ⋮ Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Solvability of second-order Hamiltonian systems with impulses via variational method ⋮ Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems ⋮ The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects ⋮ Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems ⋮ Existence results for impulsive damped vibration systems ⋮ Multiplicity of solutions for second-order Hamiltonian systems with impulses ⋮ Unnamed Item ⋮ Solvability of a class of impulsive damped vibration problems ⋮ Multiple Periodic Solutions for a Class of p-Hamiltonian Systems

Cites Work

• Critical point theory and Hamiltonian systems
• Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
• Minimax theorems
• Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Existence and multiplicity of periodic solutions for nonautonomous second order systems
• A MULTIPLICITY THEOREM FOR A PERTURBED SECOND-ORDER NON-AUTONOMOUS SYSTEM
• Periodic solutions for second order systems with not uniformly coercive potential
• Unnamed Item
• Unnamed Item
• Unnamed Item

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