1) positive C0-semigroup
正C0-半群
2) positive C_0-semigroup
正定C0-半群
1.
We show that the system operator generates a positive C_0-semigroups in the state Banach space.
用该系统算子生成的正定C0-半群证明了系统非负时间依赖解的存在唯一性。
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) C_0 semigroup
C0半群
1.
It proves the singular transport operator generates a strongly continuous C_0 semigroup V(t)(t0)and the weak compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C_0 semigroup V(t)(t0)in L1 space,and to obtain the spectrum of the singular transport operator only consist of,at.
证明了这类方程相应的奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是弱紧的,从而得到了该迁移算子的谱在区域Γ中仅由至多有限个具有限代数重数的离散本征值组成等结果。
2.
Although the spaces we discussed here are not reflexive Banach spaces, however, we show that the adjoint semigroups on their dual spaces can also be C_0 semigroups.
证明了不是自反空间的序列Banach空间上的C0半群的对偶半群仍可为C0半群。
3.
It proves the transport operator generates a strongly continuous C_0 semigroup V(t)(t≥0)and thd weak compactness properties of the secondorder remained term of the DysonPhillips expansion for the C_0 semigroup V(t)(t≥0)in L_1 space,and to obtain the spectrum of the transport operator only consist of,at most,finitely many isolate.
在L1空间上研究了板几何中一类具周期边界条件下各向异性、连续能量、均匀介质的奇异迁移方程,证明了这类方程相应的奇异迁移算子产生C0半群和该半群的Dyson Ph illips展开式的二阶余项是弱紧的,从而得到了该迁移算子的谱在区域Г中仅由至多有限个具有限代数重数的离散本征值组成等结果。
补充资料：完全正则半群
完全正则半群
completely - regular semi - group
完全正则半群【。扣lple城y一代gular semi一g娜p;.n，班业PeryJ.P一翻no几y印ynna」 同01场班d半群(Clifford sem卜grouP).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条