射线上具有一族二分性的非自治差分方程的拓扑等价
Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line
摘要：
考虑线性差分方程组和非线性扰动，得到了它们之间拓扑等价的充分条件，即线性部分在正射线上满足二分性，而非线性部分具有一定的有界性和Lipschitz条件.因此，我们利用拓扑等价研究了系统的渐近稳定性及其保持性。
英文摘要：
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.
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。
