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Nonautonomous differential equations and topological dynamics. I. The basic theory

Nonautonomous differential equations and topological dynamics. I. The basic theory

XxR^Xthat satisfies the following properties:(i) n(p,0)=p, (peX);(ii) Art(p, t), o) = Tr(p, t + a), (p e X, t e R, a e R);(iii) n is continuous.If we let 7Ti : X -*■ X denote the mapping defined by "■«(/>) = "(P, Othen {rrt : t e R} is a …