(1) Faculté des Sciences de Tunis, Département de Mathématiques, Campus Universitaire, 1060 Tunis, Tunisie
Abstract:
We study the existence of classical (non-collision) T-periodicsolutions of the Hamiltonian systemwhere and is a T-periodic function in t which has a singularity at like Under suitable conditions on H, we prove that if then (HS) possesses at least onenon-collision solution and if then the generalized solution of (HS) obtained in [5] has at mostone time of collision in its period.
where 
and 
is a T-periodic function in t which has a singularity at 
like 
Under suitable conditions on H, we prove that if ![$alpha in ]{beta over 2}, beta[$](/content/cb2dyqagqqpvnyxq/30_2003_Article_1064_TeX2GIFIEq6.gif)
then (HS) possesses at least onenon-collision solution and if ![$alpha in ]0,{beta over 2}]$](/content/cb2dyqagqqpvnyxq/30_2003_Article_1064_TeX2GIFIEq7.gif)
then the generalized solution of (HS) obtained in [5] has at mostone time of collision in its period.