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c半群     
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  c-semigroups
     Local C -Semigroups and Abstract Cauchy Problem
     局部C半群与抽象Cauchy问题
短句来源
     Local C-Semigroups and Abstract Cauchy Problem
     局部C半群与抽象Cauchy问题
短句来源
     Asymptotic Representations for C-Semigroups
     C半群的渐近表示
短句来源
     CHARACTERIZATION OF ALMOST AUTOMORPHIC C-SEMIGROUPS and S~p-ALMOST PERIODIC C-SEMIGROUPS
     C半群的概自守性与S~p概周期性
短句来源
     In this paper, we investigate the opertaor A generates a C-Semigroups connection with the abstract Cauchy problem (ACP ; A,T,x), the initial values x in the (ACP ; A, T, x) are taken from a larger range than CD(A) - (λ- A ) ~(-1)C(E).
     在本文中,我们讨论由算子A生成的局部C半群对应的Cauchy问题,将初值x的取值范围从CD(A)推广到(λ-A)~(-1)C(E).
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  c-semigroup
     The paper discusses the properties of null space for C-semigroup and establish irreducibility for perturbed C-semigroup, obtaining the following two results:Result 1 Suppose (X,‖·‖) is a Banach lattice, {T(t) } is a positive C-semigroup,B∈ B(X) is a positive operator.
     讨论了C半群的零空间性质及扰动C半群的不可约性,建立了以下两个结果:结果1设(X,||·||)是Banach格,{T(t)}是正C半群,B∈B(X)是一个正算子。
短句来源
     The Compactness of Perturbed C-Semigroup
     扰动C半群的紧性
短句来源
     Probabilistic approximations for C-semigroup
     C半群的概率逼近问题
短句来源
     Representation Theorem of n-Time Integrated C-Semigroup
     n次积分C半群的表示定理
短句来源
     Then perturbed C-semigroup {S(t)} is irreducibility if and only if J= {0} and J=X are only closed ideals with T(t) and K(λ), where K (λ) = R(λ ,RT * )B.Result 2 For C-semigroup {T(t) } with generator A, we have i)
     那么,扰动C半群{S(t)}是不可约的充分必要条件为:J={0}及J=X是仅有的满足T(t)JJ,t≥0; K(λ)JJ的闭理想.结果2对生成元为A的C半群,其中。
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  c semigroup
     The Chernoff's formula for the C Semigroup was proved and the probabilistic estimation of convergence rate for C Semigroup was obtained. The results of C 0 Semigroups such as Chernoff's product formula, Hille's exponential formula and Post Widder inversion formula were generalized.
     证明了 C半群的 Chernoff型乘积公式 ,得到了 C半群收敛速度的概率型估计式 ,推广了C0 半群的一些结果 :如 Chernoff型乘积公式、Hille指数公式及 Post- Widder反演公式等
短句来源
     In this paper,we discussed the compactness of perturbed C semigroup {S(t)} t≥0 generated by C semigroup {T(t)} t≥0 under perturbation of bounded linear operator (or positive operator) B ,and obtained a sufficient condition for eventual compactness of S(t)-T(t) .
     讨论了 C半群 {T( t) }t≥ 0 在有界线性算子 (或正算子 ) B的扰动下生成的拢动 C半群{S( t) }t≥ 0 的紧性 ,得到了 S( t) - T( t)是最终紧的一个充分条件
短句来源
  c semigroups
     On the Product Perturbation of Exponentially Bounded C Semigroups and Integrated Semigroups
     关于 C 半群与积分半群的乘积扰动
短句来源
     With the further process of the problems, semigroup theory is also developed gradually, we have already known: C_0 semigroups, n-times integrated semigroups and C semigroups on Banach spaces and on locally convex spaces.
     随着问题的深入,半群理论也在不断的发展,分别得到了:Banach空间上和局部凸空间上C_0半群,n次积分半群以及C半群等理论。
短句来源
     Sen, Shamik Ghosh and Sumana Pal on LR—C semigroups are generialized.
     Sen,Shamik Ghosh和Sumana Pal关于LR-C半群的结果。
短句来源
     The fundamental theories of C regularized semigroups are summarized, including the generators, generated theorems, interpolation, extrapolation, and the relation between the C regularized semigroup and abstract Cauchy problem, the basic properties of integrated C semigroups.
     :对C正则半群的定义、生成元、生成定理、与抽象Cauchy问题的关系、内外插进行了简述 ,并从抽象Cauchy问题出发介绍了积分C半群的定义及其简单性质。
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      c-semigroups
    The exponential-type representation formulas for C-semigroups
          
    Some exponential-type representation formulas for C-semigroups are given in Banach space, Moreover, we obtain a corresponding Voronovskaja-type asymptotic formula.
          
    Spectral mapping theorems for exponentially bounded c-semigroups in Banach spaces
          
    Integrated semigroups, C-semigroups and the abstract Cauchy problem
          
    On perturbation theory for exponentially bounded c-semigroups
          
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      c-semigroup
    In this paper, we aim at extending this result to the case where A is the generator of a holomorphic C-semigroup.
          
    Let A be the generator of an n-times integrated C-semigroup.
          
    The next proposition relates a K-convoluted C-cosine function and a K-convoluted C-semigroup.
          


    C-semigroup and a kind of Cauchy's problem perturbatione have been disccussed, and two important conclusions have been derived.

    讨论C-半群及一类Cauchy问题的扰动,给出了两个重要结论。

    In this paper we give a characterization of the spectrum of a Co-semigroup on Lp (Ω) (1

    本文给出用(入—A)~-1的性质表示的L~p(Ω)(1C半群谱的特征并把L~2(Ω)上的一些重要结果推广到L~p(Ω),(1

    The integrated C-semigroup useful to the study of C-semigroups when the range of C is not dense was introduced by Miyadera in 1988. In this paper, some results concerning integrated C-semigroups are obtained, including a generation theorem in terms of the Laplace transform, the relations between C-semigroups and integrated C-semigroups, two bounded perturbation theorems and the application to abstract Cauchy problems.

    本文研究C具非稠值域时的积分C半群,得到一些基本结果,主要包括积分C半群生成定理的Laplace刻划、积分C半群C半群的联系、有界扰动定理及抽象Cauchy问题的应用.

     
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