In this paper, we study strong and polynomial stability of the delay semigroup associated with abstract delay differential equations. We also obtain new perturbation results for strong and polynomial stability of \(C_0\)-semigroups.

中文翻译：

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时滞半群的强多项式稳定性

在本文中，我们研究了与抽象延迟微分方程有关的延迟半群的强和多项式稳定性。我们还获得了\（C_0 \）-半群的强多项式稳定性的新摄动结果。