非自治系统射线上拓扑等价的光滑性
Smoothness of Topological Equivalence on the Half Line for Nonautonomous Systems
摘要：
研究了一致渐近稳定线性非自治系统与适当非线性扰动系统之间的拓扑等价的可微性。为此，我们构造了一个一致连续的同胚的启发在帕尔默的一个限制到正射线，提供充分条件，确保其$C^{r}$ -光滑。此外，我们还研究了该同胚对一致稳定性的保持性。
英文摘要：
We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we construct a uniformly continuous homeomorphism inspired in the Palmer's one restricted to the positive half line, providing sufficient conditions ensuring its $C^{r}$--smoothness. Additionally, we study the preservation of the uniform stability properties by this homeomorphism.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
