在满足广义指数型二分性条件下的线性化

The Linearization with Generalized Exponential Dichotomy

本文将Ｈａｒｔｍａｎ线性化定理和Ｐａｌｍｅｒ线性化定理推广到具有广义指数型二分性的系统，证明了等价函数的强一致连续性；作为应用，在例子中给出了一类系 统的稳定性的判别方法．

In this paper, we extend Hartman's linearization theorem and Palmer's linearization theorem to the system with generalized exponential dichotomy an.d prove that the equivalent function is strongly uniformly continuous. We also give some examples to show the application of the new results in the stability theory.