摘要
将Hartman线性化定理Palmer线性化定理推广到具有广义F(t)指数型二分性的系统,在一定条件下,我们可以得到系统=A(t)x+f(t,x)拓扑等价于其线性部分=A(t)x.
In this paper, we extend Hartman's linearization theorem and Palmer's linearization theorem to the system with generalized F(t) exponential dichotomy, and some suitable assumptions are added, then system x = A (t)x +f ( t, x ) is topologically equivalent to x = A (t) x.
出处
《商丘师范学院学报》
CAS
2012年第9期13-16,共4页
Journal of Shangqiu Normal University
基金
浙江省自然科学基金资助项目(Y6100029
Y6110195)
关键词
广义F(t)指数型二分性
拓扑等价
等价函数
线性化
generalized F(t) exponential dichotomy
topologically equivalent
equivalent function
linearization