1) two-parameter C_0 semigroup
双参数C0半群
1.
In order to enrich the theory of semigroups,classical methods in operator semigroups theory and definition of two-parameter C_0 semigroups are introduced,and some of one-parameter C_0 semigroups properties are generalized to get some properties of two parameter C_0 semigroups.
为了丰富半群理论,利用经典的算子半群理论中的方法和双参数C0半群的概念,将单参数的C0半群的一些性质推广到双参数的C0半群,得到双参数的C0半群、生成元及其预解式的一些基本结果。
2) two-parameters semigroup
双参数半群
1.
excessive) functions with respect to a two-parameters semigroup is introduced and discussed.
给出了关于双参数半群的r-上中值函数和r-盈函数的概念,并讨论它们的若干性质,由此推导出关于非时齐马尔可夫过程的随机连续性方面的一个结果。
3) C_0-semigroup
C0-半群
1.
By means of the theory of C_0-semigroup and its nonlinear perturbation of bounded linear operators, we prove the existence and uniqueness and stability of solution for this SARS epidemic model.
讨论了一种带年龄结构的SARS疾病模型,它是一组非线性偏微分方程组,应用有界线性算子的C0-半群理论及非线性扰动理论,证明了该方程组非负解的存在唯一性及稳定性。
4) C0-semigroup
C0-半群
1.
In this paper,the author studies the sufficient conditions for the growth bound ω1 of C0-semigroup(S(t))t≥0,more than or less than the given constant ω,where(S(t))t≥0 is the perturbated semigroup by C0-semigroup(T(t))t≥0 under the bounded operator B.
文章研究Hilbert空间中具有增长ω0的C0-半群(T(t))t≥0,在有界算子B扰动后所成半群(S(t))t≥0的增长阶ω1大于或小于给定常数ω的充分条件。
2.
In this paper,the finite time and infinite time admissibilities of unbounded observation operators are introduced for linear systems in Banach spaces,the equivalences of the weak admissibilities and the general admissibility are proved under the condition that the C0-semigroup mapping S(t) is surjective.
给出观测算子的一种弱有限时、弱无限时容许性定义,讨论了在C0-半群满射条件下此类容许性与通常的容许性等价。
3.
By the positive c0-semigroup which is generated by system operator,we proved the existence and uniqueness of the non-negative weak solution of the system depended on time.
讨论由软件和硬件构成的串联可修复计算机系统,利用系统算子生成的Banach空间中的正压缩c0-半群的性质及泛函分析的方法,证明该系统具有唯一非负时间依赖弱解。
5) C0 Semigroup
C0半群
1.
We prove that the eventual norm continuity of C0 semigroup Tt for t>t0(t0≥0) is equialent to the smoothness property of convlution operator Kf(t)=∫t0Tt+t0-s(f(s))ds on Lp(,X).
文章引入定义在Lp([0,τ],X)上的有界算子的光滑性质(即R iesz准则),证明了C0半群Tt对t>t0的最终范数连续性与定义在Lp([0,τ],X)上的卷积算子Kf(t)=t∫0Tt+t0-s(f s)ds具有光滑性质是等价的。
2.
A sufficient condition is obtained for a class of second order operator matrices to generate C0 semigroups.
给出了一类二阶算子矩阵生成C0半群的一个充分条件,并应用此条件证明了一类具体的二阶算子矩阵可生成C0半群。
3.
It proves the transport operator generates a strongly continuous C0 semigroup and the compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C0 semigroup in Lp(1<p<∞) space,and to obtain the spectrum of the transport operator consist of isolate eigenvalues which have a finite algebraic multiplicity.
在Lp(1
6) positive C0-semigroup
正C0-半群
补充资料：单参数半群
单参数半群
one-parameter semi-group
单参数半群【能.钾拍川以盯贷知i旧阴Ip;0皿On，叫e印。-，ec栅no斌户下押nal 作用在Banach或拓扑向量空间X上，具有性质 T(t+:)x=T(t)【T(T)xl，t，下>0，义〔X的一个算子族T(t)(t>0).如果算子T(O是线性，有界并且作用在一个伪nach空间X上，那么所有函数T(t)x(x〔X)的可测性蕴涵它们的连续性.函数}}T(t)“在无穷远增加不快于指数函数.单参数半群的分类基于当t~O时它们的表现.在最简单的情形下，当t~0时，T(t)强收敛于恒等算子(见算子半群(~.9乃uP ofope份to巧))， 单参数半群的一个重要特征是半群的生成算子(罗n。冠如g。讲mtor ofa~一gro叩).单参数半群理论中的基本问题是确立半群和他们的生成算子性质之间的关系.局部凸空间上连续线性算子的单参数半群已经研究得相当完全了. B时坦山空间上非线性算子的单参数半群在算子T(t)是压缩的情形已经作了研究.这里与耗散算子理论有深刻的联系.
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参考词条