非自治微分方程系全局线性化及同胚函数的Hlder连续性

Golbal Linearizaton of Nonautonomous Differential Equations and Holder Continuity of the Homeomorphism Function

本文给出非自治系统全局线性化的一个同胚函数,并证明同胚函数及其逆同胚函数都具有Hlder连续性,同时给出了具体的估计式。

In this paper we show that in the global linearization of nonautonomous differential equations the homeomorphism fuction H(t, x )and its inverse fuction H (t, x ) are both Holder continuous. Meanwhile we obtain concrete estimates for ||H(t,x1)-H(t,x2)|| and ||H-1(t,x1)-H-1(t,x2)||.