One generalized critical point theorem and its applications on super-quadratic Hamiltonian systems

DOI10.11650/TJM.20.2016.7128zbMath1359.37126OpenAlexW2527278064MaRDI QIDQ515072

Fei Guo, Qin Xing, Xiao-Fei Zhang

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.20.2016.7128

zbMATH Keywords

Hamiltonian systemsexistence of periodic solutionsgeneralized critical point theoremsuper-quadratic conditions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Hamilton's equations (70H05)

Related Items (6)

Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth ⋮ Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth ⋮ Stability of subharmonic solutions of first-order Hamiltonian systems with anisotropic growth ⋮ Periodic and subharmonic solutions for a class of superquadratic first order Hamiltonian systems ⋮ Subharmonic solutions and minimal periodic solutions of first-order Hamiltonian systems with anisotropic growth ⋮ Brake orbits of first order convex Hamiltonian systems with particular anisotropic growth

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