# 信息来源：发布日期: 2017-05-25浏览次数: _showDynClicks("wbnews", 1310399885, 2574)

Abstract: This talk presents some recent advance on the linearization of differential equations. We study the global linearization of the nonautonomous system $\dot{x}=A(t)x+f(t,x,\theta)$ under parameter variation when the linear system $\dot{x}=A(t)x$ admits a nonuniform exponential dichotomy. Weaker conditions are established for the existence of topological conjugacy between linear and nonlinear systems. We weaken the Lipshchizian requirement in the Grobman-Hartman type theorem [Theorem 7, Luis-JFA2007, pp334-335] to the H\"older continuity and estimate a lower upperbound of the H\"older exponent to guarantee the $C^0$ linearization. Further, we discuss on the regularity of the conjugation in $x$, $t$ and the parameter $\theta$.