Subharmonic solutions for convex nonautonomous Hamiltonian systems

DOI10.1016/0362-546X(95)00226-LzbMath0879.34043OpenAlexW2089807350MaRDI QIDQ5284495

Yuan-Tong Xu

Publication date: 29 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00226-l

zbMATH Keywords

multiple periodic solutionsnonautonomous Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems ⋮ Subharmonics with minimal periods for convex discrete Hamiltonian systems ⋮ Applications of a \(Z_p\) index theory to periodic solutions for a class of functional-differential equations

Cites Work

• Nonlinear oscillations and boundary value problems for Hamiltonian systems
• Subharmonic solutions with prescribed minimal period for nonautonomous Hamiltonian systems
• A \(Z_ p\)-Borsuk-Ulam theorem
• On the periodic motions near a given periodic motion of a dynamical system
• Periodic solutions of arbitrarily long periods in Hamiltonian systems
• Subharmonics for convex nonautonomous hamiltonian systems
• On subharmonic solutions of hamiltonian systems
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• Remarks on subharmonics with minimal periods on Hamiltonian systems
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