Teoria dos pontos críticos e sistemas hamiltonianos.

Abstract

In this work we use variational methods to show the existence of weak solutions for two types problems. The first, is related with a following Ordinary Differential Equations of the form u 00 (t) + G 0 (u(t)) = f(t). The second is relating at the Hamiltonian Systems u 0 (t) = JrH(t, u(t)).