Minimal period estimates on \(P\)-symmetric periodic solutions of first-order mild superquadratic Hamiltonian systems

DOI10.1007/s11464-021-0903-zzbMath1478.37064OpenAlexW3135112990MaRDI QIDQ2040656

Xiao-Fei Zhang, Chun-gen Liu

Publication date: 14 July 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-021-0903-z

zbMATH Keywords

Hamiltonian systemminimal period\(P\)-symmetric periodic solution\(P\)-index

Mathematics Subject Classification ID

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Linear boundary value problems for ordinary differential equations (34B05) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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