Fei, Guihua On periodic solutions of superquadratic Hamiltonian systems. (English) Zbl 0999.37039 Electron. J. Differ. Equ. 2002, Paper No. 08, 12 p. (2002). Summary: The author studies the existence of periodic solutions for some Hamiltonian systems \(\dot z=JH_{z}(t,z)\) under new superquadratic conditions which cover the case \(H(t,z)=|z|^{2}(\ln (1+|z|^{p}))^q \) with \(p, q>1\). By using the linking theorem, we obtain some new results. Cited in 2 ReviewsCited in 52 Documents MSC: 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) 34C25 Periodic solutions to ordinary differential equations 37B30 Index theory for dynamical systems, Morse-Conley indices 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces Keywords:periodic solution; Hamiltonian system; linking theorem PDF BibTeX XML Cite \textit{G. Fei}, Electron. J. Differ. Equ. 2002, Paper No. 08, 12 p. (2002; Zbl 0999.37039) Full Text: EuDML EMIS OpenURL