Periodic solutions for a class of symmetric and subquadratic Hamiltonian systems

DOI10.1016/0895-7177(96)00029-5zbMath0862.34036OpenAlexW2018208627MaRDI QIDQ1921088

Yanheng Ding, Mario Girardi

Publication date: 26 May 1997

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(96)00029-5

zbMATH Keywords

periodic solutionsHamiltonianminimax methodgenus

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Periodic solutions of symmetric wave equations

Cites Work

• Periodic solutions of large norm of Hamiltonian systems
• Forced vibrations of superquadratic Hamiltonian systems
• Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
• Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms
• Morse theory and asymptotic linear Hamiltonian system
• Critical point theorems for indefinite functionals
• Solutions of minimal period for a class of convex Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• Some results on solutions of minimal period to superquadratic Hamiltonian systems
• Periodic solutions of hamiltonian systems
• Hamiltonian trajectories having prescribed minimal period
• Periodic solutions for a class of nonautonomous Hamiltonian systems
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