The main purpose of this paper is to treat semigroups properties, like norm continuity, compactness and differentiability for perturbed semigroups in Banach spaces. In particular, we investigate three large classes of perturbations, Miyadera-Voigt, Desch-Schappacher and Staffans-Weiss perturbations. Our approach is mainly based on feedback theory of Salamon-Weiss systems. Our results are applied to abstract boundary integro-differential equations in Banach spaces.

中文翻译：

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关于扰动半群的范数连续性、可微性和紧性

本文的主要目的是处理半群的性质，如 Banach 空间中扰动半群的范数连续性、紧致性和可微性。特别是，我们研究了三大类扰动，Miyadera-Voigt、Desch-Schappacher 和 Staffans-Weiss 扰动。我们的方法主要基于 Salamon-Weiss 系统的反馈理论。我们的结果应用于 Banach 空间中的抽象边界积分微分方程。