Abstract

We study the existence of unbounded solutions of singular Hamiltonian systems: q + del V(q) = 0, were V(q) similar to - 1//q/alpha is a potential with a singularity. For a class of singular potentials with a strong force alpha > 2, we show the existence of at least one hyperbolic-like solutions. More precisely, for given H > 0 and theta(+), theta(-) is an element of SN-1, we find a solution q(t) of (*) satisfying [GRAPHICS]