We study the existence of periodic solutions for some Hamiltonian systems ż = JHz(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. Key words: periodic solution, Hamiltonian system, linking theorem.
|Original language||English (US)|
|Journal||Electronic Journal of Differential Equations|
|State||Published - Dec 1 2002|