Abstract Up to now, researches is the smooth linearization of differential equations have been restricted to a small neighborhood of the origin. A result of global smooth linearization is presented in this paper. The premise of the global topological lineariza-tion (the global smooth linearization) is that the existent domain of any solution is the whole real axis. So, this paper also discusses the generalization of the Wintner Theorem,
Jin Lin SHI.
Generalization of Wintner's Theorem and Global Smooth Linearization. Acta Mathematica Sinica, Chinese Series, 2002, 45(6): 1113-112 https://doi.org/10.12386/A2002sxxb0144