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tel que ù est un ouvert connexe non vide. Nous considérons un système d'équations difiérentielles autonomes défini sw U t x: x(x) |. *(O) : xo (A.1) ,
ouvert borné positiuement invariant pour le systènre (A.I); On suppose que ,
compact stable relativement à M* d'après [3, corollaire 1.5.26] il est positivement invariant ,
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On va démontrer que D+ (K) : K ce qui implique ,
+ y} est la première prolongation positive de x, et "I+(x) : {y : 3{x"} C|,l,xn-+x, l{t"}CIR+ tn-}+oo Xr, }y} est I'ensemble limite prolongé. pour x e G, J+(x) est un ensemble compact invariant Defait,onaKCD+(K) ,
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du tait que À-(y) est un compact invariant, on a Â+(z) c A-(V), soit Â+(z) A K :0, ce qui contredit le fait que K est attractif ,
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