1) strong semi-precontinuity
强半准连续
1.
In this paper,strongly semi-preopen sets,strongly semi-preclosed sets,strong semi-preclosure,strong semi-preinterior and strong semi-precontinuity in topological spaces are introduced,their properties are studied,and Kuratowski’s fourteen sets theorem is given.
引进了拓扑空间中强半准开集、强半准闭集、强半准闭包算子、强半准内部算子、强半准连续等概念,讨论了它们的性质,给出了Kuratowski十四集定理的推广形式,建立了强半准连续与已有的相关概念之间的联系。
2) strongly semi-continuous
强半连续
3) strong pre-continuity
强准连续
1.
Finally,strong pre-continuity and strongly pre-open(closed) mappings are introduced and their properties are discussed.
最后引进强准连续、强准开(闭)序同态,讨论它们的性质。
4) almost regularly strong semi-precontinuity
几乎正则强半准连续
1.
Meanwhile,we introduce the concept of almost regularly strong semi-precontinuity.
在L-fuzzy拓扑空间引进了正则强半准开集与正则强半准闭集的概念,研究了它们的性质,讨论了它们与已有的近似开集之间的关系,同时引入了几乎正则强半准连续等概念。
5) 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。
6) less strong semicontinuity
次强半连续
补充资料:强连续半群
强连续半群
strongly-continuous son!-group
强连续半群[s枷叼y一c佣“nu0lls,”‘.9代阅.;c翻‘即“enpep曰.Ha,no月yrPynna] Banach空间X上具有以下性质的一族有界线性算子T(t),r>0: l)T(t+;)x=T(r)T(:)x,r,了>0,x6X; 2)函数tl~T(t)x对任何x〔X在(O,的)上连续. 当1)成立时,所有函数tl一T(t)x(x‘X)的可测性,且特别地它们的单边(右或左)弱连续性,蕴涵T(t)的强连续性.对一个强连续半群,有限数 田一r叹r一’]n 11T(‘)1卜,纯‘一’In llT(r)11称为该半群的型(勿详of the semi一gouP).这样,函数t卜,T(t)x的范数在的的增长不快于指数e‘『.强连续半群的分类是基于当t,O时它们的性态.如果有一个有界算子J使得当t一,O时}T(t)一川},O,则J是一个投影算子且T(t)=Je‘月,其中A是与J交换的一个有界线性算子.在这情形T(t)关于算子范数是连续的.如果J=I,则T(t)=c‘滩,一的
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