Periodic solutions of some autonomous second order Hamiltonian systems

DOI10.1007/s12190-008-0075-yzbMath1157.34323OpenAlexW1968235341MaRDI QIDQ949336

Rigao Yang

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0075-y

zbMATH Keywords

periodic solutioncritical pointSobolev's inequality\((PS)\) conditionsautonomous second order Hamiltonian systemsWirtinge's inequality

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Cites Work

• Unnamed Item
• Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity
• Critical point theory and Hamiltonian systems
• On the solvability of semilinear gradient operator equations
• Periodic solutions of a class of non-autonomous second-order systems
• Periodic solutions for some nonautonomous second-order systems
• Periodic solutions for a class of nonautonomous second-order systems
• Periodic solutions of non-autonomous second order systems with \(\gamma\)- quasisubadditive potential
• Periodic solutions of non-autonomous second order systems