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Geometries of two-dimentional hexagonal net and one-dimentional chain of C36 polymers were optemized by using PM3 and B3LYP/6-31G method. Their electronic structure and stability were also discussed . Band structure were calculated at ab initio level . Compered to the solo C36 molecular ,the results indicated that C36 unit"s structure in the polymers changed obviously and the polymerization increased the system"s stabilities .

本文在系统总结具有纳米尺度的碳团簇研究现状的基础上，着重开展了如下四方面的工作：首先采用PM3和B3LYP／6-31G方法对2D六方网状，以及1D链状C36聚合体的构型进行全优化，探讨了其电子结构和稳定性；并在从头算水平上计算了相应的能带结构。

In this paper, based on Delta Operator, signal vectors of Hilbert space are constructed, an input-output model is derived, and both the forward and backward prediction error vectors are described.

摘要本文基于δ算子构造了Hilbert空间中的信号向量，推导了系统的输入输出关系，得出了前向和后向预测误差向量的表达式。

Specially, in Hilbert spaces, some necessaryand sufficient conditions are given in terms of the uniformly square integrability anduniform boundness of the resolvent on the imaginary axis respectively. Furthermore,we consider this robustness fordifferential equations with unbounded operatorin the delay term.

我们进一步研究了时滞项含无界算子的抽象微分方程的小时滞鲁棒稳定性，获得了一些充分必要条件，并应用所得结论讨论了具解析半群生成元的时滞系统。

In chapter 3,we analyze the global attractor of static reaction-diffusion neural networks with time-varying delays using the semigroup theory of operators, the inequality skills and the imbedding method in Soblev space. A very useful and convenient criterion on the existence of the location of this global attractor is given. Furthermore, we can estimate the location of this global attractor in the space.

在第三章中，我们用算子的半群理论，不等式技巧和Soblev空间的嵌入方法分析了变时滞静态反应扩散神经网络的全局吸引子，给出了一个简洁实用的判定全局吸引子存在的准则，进而，估计了全局吸引子在空间中的位置。

In this chapter, a two-dimensional implicit difference scheme of the linear IBVP is designed, and the stability of the homogeneous scheme is proved by the method of separation of variable. At last, some numerical examples are presented. And the results are consistent with the theoretical result.

在本章中，建立了相应初边值问题的二维隐式格式，并利用分离变量法讨论了其中的一类特殊情形——齐次情形差分格式的稳定性，最后给出了数值算例，得到的数值结果与理论结果一致。

In this paper,the compatibility test and consistence test are compared,the included angle cosine method for compatibility test based on priority vectors of judging matrix is put forward,and finally,the simplicity and effectiveness of the method is demonstrated with a numerical example.

对相容性检验和一致性检验进行了比较，分析了这2个指标的异同，并从判断矩阵的排序向量出发，提出了相容性检验的夹角余弦法，最后通过一个算例说明该计算方法简洁有效。

Firstly, the transient stability of the modes by which some kinds of huge power suppliers are connected with AC power grid is analyzed and compared in detail; then a detailed transient stability simulation of a certain large-scale demonstration system is performed; finally some helpful conclusions are obtained: in the general situation, the bundling power transmission mode is favorable to increase the stability of sending system; if it is helpful to evidently increase the inertia of the equivalent leading group, the mode that connects the huge power supplier with sending system will be helpful to enhance the stability of sending system, however it is necessary to perform simulation and analysis while these principles are applied to FACT systems.

首先从机制上对几种大电源接入交流系统方式的暂态稳定性进行了详细的分析和比较；然后对大型算例系统进行了详尽的暂态稳定仿真；最终得出了一些有用的结论：一般情况下，打捆送电方式有利于提高送出系统的稳定性；如果有助于显著增加领前群的惯量，则与送端系统相联的方式也有助于提高送电系统的稳定性，但仍要结合具体系统进行分析。

Using this method,we discussed for generalized Burger equation with variable coefficients and linear danping,obtained its symmetry group,simliar reduced equations,infinitesimal generator and Lie algebras;In chapter 6,using the Exp-function method,the generalized solutions of combined KdV-mKdV equation with variable coefficients are discussed.

首先介绍了Lie群分析法的基本思想，其次用Lie群分析法得到了带线性阻尼项的变系数广义Burgers方程的无穷小变换、无穷小算子的李代数结构，并具体求出了带线性阻尼项的变系数广义Burger方程的群不变解和约化方程。

When obtaining this condition,we don\'t use any bounding technique to deal with the weak infinitesimal operator of the Lyapunov function by using the knowledge of stochastic analysis.

积分的性质，引入了适当的自由权矩阵，避免了对Lyapunov函数的弱无穷小算子进行放大，从而降低了稳定性条件的保守性。

In this PhD thesis, we first study the following BVP for first-order dynamic equation on time scaleThe corresponding integral operator is constructed and its completely continuity is proved.

本文首先研究了测度链T上的一阶动力方程边值问题构造了相应的积分算子并证明了其全连续性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。