Periodic solutions of classical Hamiltonian systems without Palais-Smale condition

DOI10.1006/jmaa.2001.7802zbMath0994.37032OpenAlexW1993871236MaRDI QIDQ1599121

Guihua Fei, Soon-Kyu Kim, Tixian Wang

Publication date: 2 July 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7802

zbMATH Keywords

periodic solutionsConley indexGalerkin approximationclassical Hamiltonian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Index theory for dynamical systems, Morse-Conley indices (37B30) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (4)

Infinitely many periodic solutions for asymptotically linear Hamiltonian systems ⋮ New results on periodic solutions for second order damped vibration systems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Nontrivial periodic solutions for asymptotically linear resonant difference problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morse theory and asymptotic linear Hamiltonian system
• Critical point theory and Hamiltonian systems
• Periodic solutions for nonautonomous second-order systems with bounded nonlinearity
• Infinite dimensional Morse theory and multiple solution problems
• Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity
• Periodic solutions of non-autonomous second order systems
• Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems
• Periodic solutions of hamiltonian systems
• Existence and multiplicity of periodic solutions for nonautonomous second order systems

This page was built for publication: Periodic solutions of classical Hamiltonian systems without Palais-Smale condition