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Zbl 0999.37039
Fei, Guihua
On periodic solutions of superquadratic Hamiltonian systems.
(English)
[J] Electron. J. Differ. Equ. 2002, Paper No.08, 12 p., electronic only (2002). ISSN 1072-6691/e

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.
MSC 2000:
*37J45 Periodic, homoclinic and heteroclinic orbits, etc.
34C25 Periodic solutions of ODE
37B30 Index theory, Morse-Conley indices
58E05 Abstract critical point theory

Keywords: periodic solution; Hamiltonian system; linking theorem

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