条件方程

Several sufficient conditions for judgement of the invariant set and the attraction for the equations are obtained by using the properties of nonnegative matrices and some analytical methods.

对一类大型非线性偏泛函微分方程的渐近行为进行研究，利用非负矩阵性质和适当的分析技巧，建立了判断其不变集和吸引性的充分条件。

We discussed the positive invariant set,the exsistence and the stability of the equilibrium by the stability theory of ordinary differential equation and the conditions for the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium are obtained.

本文讨论了模型的正不变集，运用微分方程稳定性理论分析了模型平衡点的存在性及稳定性，得出了疾病消除平衡点和地方病平衡点的全局渐进稳定的充分条件。

The main results of the study are obtained as follows:1 In order to analyze and study the physical and mechanical characteristics of Lianyungang marine soft clay deeply, large numbers of basic mechanical characteristics tests and tri-axial shear tests are completed.2 In order to investigate the loaded and failure characteristics of the cement-soil, the cement-soils for the different ratio and different cure time are studied in the laboratory, and their unconfined compression tests and tri-axial shear tests are performed.3 Based on the solution of one-dimension consolidation, the one-dimension consolidation of the double-layered foundation is solved for two-grade loading in virtue of transcendental equation; Simultaneously, the one-dimension consolidation of the double-layered foundation is solved by means of Laplace transform for two-grade loading, and Stehfest numerical transform is applied in Laplace's inverse transformation; Furthermore, according to the practical foundation shapes, the consolidation models of the soil between piles and the substratum are built and solved respectively.4 The effect of each parameters on the consolidation of the double-layered foundation is discussed, and the solution of load transfer method for double-layered foundation is applied in A1-A4 section of Lian-Xu expressway. The results of calculating settlement of the double-layered consolidation theory are basic agreement with the measuring settlement results.

取得了以下几方面的研究成果：1针对连云港海相软土进行一维固结和三轴剪切试验，深入分析连云港海相软土的物理力学特性。2模拟水泥土搅拌桩施工，在室内制备不同配比、不同龄期的水泥土试样，并进行无侧限抗压试验和三轴剪切试验，揭示水泥土的受力特性及破坏特性。3运用超越方程，以双层地基一维固结解析解为基础，推导出二级加荷条件下双层地基的固结解析解；同时，通过荷载传递法并借助Laplace变换对双层地基的固结问题进行了数值求解；此外，根据实际的地基结构，建立了桩间土和下卧层的固结模型并分别进行求解分析。4分析探讨了双层地基中各参数对双层地基固结的影响程度，并运用荷载传递法的解答计算了连-徐高速公路A1-A4标水泥土搅拌桩处理段的六个断面，计算结果与实测数据有较好的一致性。

The terms on the right hand side of the momentum equations that are multiplied by the inverse Reynolds number are called the diffusion terms .

该条款对右手边的势头方程是乘以逆雷诺数称为扩散条件。

Second, transient flow for vertical well and fractural well in porous media with arealanisotropy has been researched in this paper. The analytic solution for vertical well andsemi-analytic solution for vertical fractural well is developed by using image inversion,superposition principle, Laplace transformation, Fourier transformation, as well as theirinverse transforms, and storage and skin are taken into account. For vertical fractural well,influence of pressure and productivity is studied when the orientation of artificial fractureisn't in accordance with the direction of major permeability, it is fundamental to evaluatepotential and analyze well test data.

文中研究了平面各向异性储层不定常渗流问题，建立了平面各向异性储层交叉直线边界中一口直井渗流的数学模型，利用镜像反演、Laplace变换、Fouier变换及其反变换推导了不同边界条件下直井的Laplace空间解析解，考虑井储和表皮的影响，分析了曲线特征及影响因素的敏感性曲线；并运用影响椭圆及Duhamel叠加原理，推导了平面各向异性储层中垂直裂缝井的压力分布方程，考虑了水力裂缝与主渗透率轴成一定角度对压力及产能的影响，为垂直裂缝井的产能评价及试井分析提供依据。

Separator/polymer electrolyte system was obtained by activation.How the aggregation structure and porous structure influence ionic conductivity and electrolyte uptake were investigated.

发现在一定条件下制备的多孔膜具有比较好的力学性能以及贯通性良好的孔结构，基于这种膜活化得到的体系，电导率超过1.0×10-3S/cm(20℃)、电化学稳定窗口为0～4.7 V，电导率与温度的关系符合阿仑尼乌斯方程。

Based on formers criteria of isochronous centers for centers, we analyze parameter conditions of isochronous centers.

在此基础上，还在前人获得的多项式Liénard方程的等时中心判据的基础上，进一步分析了等时中心的参数条件。

The results show that the Avrami equation is able to successfully describe the simulated isothermal crystallization process of PEO.

用Monte Carlo方法模拟了聚氧化乙烯在预先成核条件下的等温结晶过程，并用Avrami方程进行了结晶动力学处理。

We introduce the iterative method of Jacobi type to solve the discrete problem of the quasivariational inequality system. A new proof for the monotone convergence of the iterative method is given under appropriate conditions.

我们首先介绍求解Hamilton-Jacobi-Bellman方程的近似拟变分不等式组离散问题的一类Jacobi型迭代算法，在一定假设条件下，对这类算法的单调收敛性给出了一个新的证明。

Based on the selection rules on the rotational joint fit comer, spherical joint fit comer and parallel bar interference, which are application-based, the relationships between those restrictions and mechanism parameters are deduced in the mathematic functions, especially for the compound spherical joint.

文章摘要：以6-RSS型并联机构为研究对象，建立解析形式的反向运动学方程，给出考虑驱动副转角范围、球副转角范围、连杆干涉等约束条件时的反解选取准则，推导出每种约束表达与机构参数间关系，特别是复合球副独特的附加约束表达。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。