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1)  equicontinuous semi-group
等度连续半群
2)  equicontinuous semigroup of class(C0)
(C_0)类等度连续半群
3)  continuous semigroup
连续半群
4)  strongly continuous semigroup
强连续半群
1.
The purpose of this paper is to prove the existence of mild solutions for perturbed infinite delay differential equations in Banach space by using the phase-space method,the Hausdorff\'s measure of noncompactness,the strongly continuous semigroup and the Darbo fixed point theory.
利用相空间的方法,结合Hausdorff非紧性测度、强连续半群和Darbo不动点理论,研究相关半群在失去紧性的情况下,Banach空间中扰动型无穷时滞微分方程适度解的存在性,改进和推广了已有的一些结果。
5)  ω~-continuous semigroup
弱连续半群
6)  strongly continuous semigroups
强连续半群
1.
Chapter 2 is preliminaries, mainly including some definitions and basic prop-erties on strongly continuous semigroups, integrated semigroups and pseudo al-most automorphic functions.
主要包括强连续半群、积分半群与拟概自守函数的定义与基本性质。
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