Abstract
On considere le systeme dynamique a 2 N dimensions: x˙=f(x,y), y˙=g(x,y) ou x∈R N et y∈R N , f,g∈C 2 (,R n ), est un domaine de R N ×R N , O(0,0)∈int. On donne une condition necessaire et suffisante pour l'existence de solutions periodiques en appliquant le theoreme de point fixe de Schauder
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