论文标题
离散动力学的可接受性和普遍的非均匀二分法
Admissibility and generalized nonuniform dichotomies for discrete dynamics
论文作者
论文摘要
我们根据可接受性条件获得了由一般增长率定义的非均匀二分法的特征。此外，我们使用获得的特征来得出所考虑的二分法的鲁棒性结果。作为特定情况，我们在有关非均匀的指数二分法和非均匀多项式二分法的文献中恢复了几个结果，以及对数增长的非均匀二分法的新结果。
We obtain characterizations of nonuniform dichotomies, defined by general growth rates, based on admissibility conditions. Additionally, we use the obtained characterizations to derive robustness results for the considered dichotomies. As particular cases, we recover several results in the literature concerning nonuniform exponential dichotomies and nonuniform polynomial dichotomies as well as new results for nonuniform dichotomies with logarithmic growth.
