论文标题
可接受性和进化家庭的一般二分法
Admissibility and general dichotomies for evolution families
论文作者
论文摘要
对于在半行上的任意非不可逆转的进化家庭，对于$ρ\ colon [0，\ infty）\ to [0，\ infty）$在很大的速率功能中，我们考虑$ρ$ dichothome的概念相对于规范的家族，并以两种可接纳性条件来表征它。特别是，我们的结果适用于指数和多项式二分法，相对于规范家庭。作为我们工作的非平凡应用，我们确定了一般非均匀二分法的鲁棒性。
For an arbitrary noninvertible evolution family on the half-line and for $ρ\colon [0, \infty)\to [0, \infty)$ in a large class of rate functions, we consider the notion of a $ρ$-dichotomy with respect to a family of norms and characterize it in terms of two admissibility conditions. In particular, our results are applicable to exponential as well as polynomial dichotomies with respect to a family of norms. As a nontrivial application of our work, we establish the robustness of general nonuniform dichotomies.
