Periodic solutions of a class of superquadratic second order Hamiltonian systems

DOI10.1007/S11766-000-0049-9zbMath0974.34039OpenAlexW1981177762MaRDI QIDQ1589803

Deqing Liu, Qun Yin

Publication date: 10 May 2001

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-000-0049-9

zbMATH Keywords

periodic solutionscritical points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

New results on periodic solutions for second order damped vibration systems ⋮ Multiplicity of periodic solutions for a class of second-order perturbed Hamiltonian systems ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES

Cites Work

• Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz
• Critical point theorems for indefinite functionals
• Critical point theory and Hamiltonian systems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Periodic solutions of a class of superquadratic second order Hamiltonian systems