摘要
I. Introduction In this paper we are looking for solutions of the following Hamiltonian system of second order: where x= (x1, x2) and V satisfies (V. 1) V: R×R2→R is a C1-function, 1-periodic In t, (V.2) V is periodic in x1 with the period T>0, (V. 3) V→O, Vx→O as |x2|→∞, uniformly in (t, x1).