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非自治微分方程系全局线性化及同胚函数的Hlder连续性
引用本文:林庆聪. 非自治微分方程系全局线性化及同胚函数的Hlder连续性[J]. 福建师大福清分校学报, 1998, 0(2)
作者姓名:林庆聪
作者单位:Dept. of Math . Putian College,Fujian,351100
摘    要: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。

关 键 词:非自治微分方程系  全局线性化  同胚函数  Hlder连续性

Golbal Linearizaton of Nonautonomous Differential Equations and Holder Continuity of the Homeomorphism Function
Lin Qing Cong. Golbal Linearizaton of Nonautonomous Differential Equations and Holder Continuity of the Homeomorphism Function[J]. Journal of Fuqing Branch of Fujian Normal University, 1998, 0(2)
Authors:Lin Qing Cong
Abstract: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)||.
Keywords:nonutonomous differential equation  global linearization  homeomorphism fuction  Holder continuous.
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