A class of second order nonautonomous quasilinear Hamiltonian systems is considered. One states that, for any , depending on the growth coefficients of the Hamiltonian function , there exists a --periodic and --antiperiodic solution of , in case that two symmetry conditions hold for .
Cite this article
Mario Girardi, Michele Matzeu, Existence of periodic solutions for some second order quasi-linear Hamiltonian systems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), no. 1, pp. 1–9