The existence of nontrivial solutions of Hamiltonian systems with Lagrangian boundary conditions

DOI10.1016/S0252-9602(09)60032-1zbMath1199.37128OpenAlexW2023946601MaRDI QIDQ846854

Chong Li, Chun-gen Liu

Publication date: 12 February 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(09)60032-1

zbMATH Keywords

Hamiltonian systemsnontrivial solutionLagrangian boundary conditionssubquadratic conditionsuperquadratic condition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items

Stability of subharmonic solutions of first-order Hamiltonian systems with anisotropic growth, Homoclinic solutions near the origin for a class of first order Hamiltonian systems