1、

Applying semigroup theory of linear operators, we get the well-posed-ness of the linearized model. Then we provide the asymptotic expressions of the eigenvalues of the system operator and their corresponding eigenvectors with a detailed spectrum analysis.

采用线性算子半群理论解决了线性化模型的适定性,并在此基础上对系统算子进行谱分析,给出系统算子本征值和相应本征向量的表达式。

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2、

Then it shows that the operator determined by the system is dissipative and generates a C0 semigroup, and hence the well-posed-ness of the system follows from the semigroup theory of bounded linear operators.

然后利用有界线性算子半群的理论,证明了由闭环系统所确定的算子是预解紧的耗散算子,生成C0压缩半群,从而得到了系统的适定性。

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3、

The strong mean convergence theorem for aff in E semigroup

关于仿射半群的平均收敛定理

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4、

By using C0-semigroup theory the existence of a unique nonnegative time-dependent solution of a system consisting of two repair'able unit has been proved.

用C0-半群理论证明一类两个相同部件并联可修系统的非负解的存在唯一性。

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5、

At last, by proving the irreducibility of the C0-semigroup we obtain that the time-dependent solution of the system converges to the steady-state solution exponentially.

最后,通过证明该半群的不可约性,得到了系统模型时间依赖的非负解指数收敛到其静态解。

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6、

The integral matrix representation of the endomorphism monoid of a graph has been given by the method of the algebraic topology, some simple properties of the integral matrix semigroup have been discussed.

通过代数拓扑的方法,给出了图的自同态摹群的整矩阵表示,并讨论了整矩阵半群的简单性质。

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7、

The System of Linear Equations on Multiplicative Semigroup and Inverse Lattice Problems

乘法半群上的线性方程组与晶体对势的反演

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8、

Ideal Extensions of a Clifford Semigroup by Another with a Zero Adjoined

一个Clifford半群通过另一个附加零元的Clifford半群的理想扩张

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9、

A Class of Trap-Door One-Way Mappings on a Semigroup

半群上的一类陷门单向映射

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10、

This paper presents a class of trap-door one-way mappings on a semigroup.

本文首次给出半群S上的一类陷门单向映射。

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11、

We form the new technique of operators semigroup that imbibe the multiplier technique and have the frequency character.

我们的处理方法形成了一种吸取乘子技巧的具有频域特征的算子半群新技巧。

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12、

The Identity of Completely π-Regular Semigroup Rings

完全π-正则半群环的单位元

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13、

The Identity of Periodic Semigroup Rings

周期半群环的单位元

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14、

complete graph-semigroup and connected graph-semigroup

完全图半群与连通图半群

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15、

the hun semigroup structure of counting measures on a non-separable space

非可分空间上计数测度的Hun半群结构

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16、

The Weak Natural Partial Order on π-Regular Semigroup

π-正则半群上的弱自然偏序关系

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17、

Therefore, KNO scaling and Dao scaling be called a joint name of the renormalization semigroup scaling.

KNO标度与Dao标度应统一称为重正化半群标度。

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18、

The initial problem for second order linear evolution equation systems is discussed by using the contraction semigroup theory.

本文用压缩半群理论讨论了二阶线性发展方程组的初值问题;

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19、

The relation between monomial orderings on polynomial algebra and semigroup algebra;

代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。

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20、

In this way, we solve the problem of solution expansion using semigroup theory of linear operators.

这样我们便应用算子半群理论将解的展开问题得以解决。

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