论文标题
非自主差方程与半线上的二分法家族的拓扑等效性
Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line
论文作者
论文摘要
考虑了差异方程式和非线性扰动的线性系统，我们获得了足够的条件，以确保它们之间的拓扑等效性，即，线性部分满足二分法在正半中的特性 - 而非线性具有一定的界限和lipschitzness条件。结果，我们通过拓扑等效研究了渐近稳定性及其保存。
A linear system of difference equations and a nonlinear perturbation are considered, we obtain sufficient conditions to ensure the topological equivalence between them, namely, the linear part satisfies a property of dichotomy on the positive half--line while the nonlinearity has some boundedness and Lipschitzness conditions. As a consequence, we study the asymptotical stability and its preservation by topological equivalence.
