边条件

In this paper, on the base of paraxial approximations, we present a set of absorbing boundary conditions of 3D elastic wave equations and apply to the 3D elastic wave numerical modeling in isotropic medium.

本文基於傍轴近似法提出了计算三维弹性波方程的吸收边界条件公式，表示了各边界面、边棱和角点处波场所满足的单程波方程，并在三维弹性波数值模拟中进行了应用。

The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method, h is proved that boundary value problem has at least one positive solution under suitable conditions.

研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性，应用单调迭代，给出了这类边值问题存在解的充分条件，还给出了向正解靠近的单调集。

Through project practice, this paper introduces method of prestressing anchor cable in steep road cutting slope construction.

设计中针对青岛-银川国道主干线段路堑边坡工程的地质条件，采用预应力锚索加固的方案，通过工程实践，介绍了预应力锚索在高陡路堑边坡中的施工方法。

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

In particular, Neumaier asserted that the collinearity graph of a unique 3/2-design if it meets some constraints over its parameters.

Neumaier在1976年的论文提到，若强正则重边图的参数满足某些条件，这个强正则重边图就会是唯一的3/2-设计的共线性图。

At last, we are concerned with the global existence and asymptotic behavior of smooth solution to the initial boundary value problem for the bipolar hydrodynamic model with the Neumann and Dirichlet boundary condition in the one-dimensional case, respectively. The difficulties from the coupled action between electrons and holes are carefully dealt with.

另外，本文也深入研究一维空间双极半导体流体动力学模型初边值问题光滑解的整体存在性及其衰减性，分别讨论了两类在实际应用中重要的边值条件，克服了由于电子和空穴之间的耦合作用所带来的困难。

Are also given by constructing Lyapunov function. Finally, by applying the energy methods, Sobolev embedding theorems and bootstrap arguments, the global existence of nonnegative classical solutions to equations with homogeneous Neumann boundary value condition is proved when the space dimension is at most 5. Under certain conditions for the coefficients of the reaction functions, the convergence of the solutions is established for the system with large diffusion coefficients by constructing Lyapunov function.

的正平衡点全局渐近稳定的充分条件；最后，当空间维数不超过5时，应用能量估计、Sobolev嵌入定理和bootstrap技巧证明在齐次Neumann边值条件下非负古典解的整体存在性，并通过构造Lyapunov函数给出当反应函数的系数满足一定条件、扩散系数较大时该模型解的收敛性。

Naturally,we confront with such a problem:can we generalizethe systematic work on the classical boundary value problem for analytic func-tions and singular integral equation to Clifford analysis?And so this problemhas especially theoretical and practical meaning,and naturally this problem hasbecome a common hot topic for mathematicians at home or abroad.

其结果在一定程度上推广了一些经典文献的结果，取消了这些在经典文献结果中对s=0或s=n的条件限制，需要指出的是，据作者所知，到目前为止，本文也是第一次系统而又比较深入地研究了取值在泛Clifford代数〓上的超复函数的性质，并获得了比较系统而又深入的结果；另外，本文还对Clifford分析中的某些比较特殊的Riemann边值问题与奇异积分方程做了一定程度的研究，由于文中所用的方法较曾经出现的文献而言有着根本的改进，因此，本文去掉了从前在这一问题的研究过程中所做出的一些不必要的条件限制，从而使得在比以往条件更弱的情况下，获得了比以前文献中更多的结果。

Systemic numerical tests are implemented to analyze the dynamic response of the pre-stressed anchorages with different rock damping under different blasting condition and the dynamic stress behaviors on the response of single anchorage and group anchorages are obtained, then a safety measures and guideline are suggested for design and construction.

4针对不同岩体阻尼条件与布设距离不同爆破荷载条件下预应力锚索的动态响应规律进行了系统的数值试验研究，得到了岩质高边坡预应力群锚的爆破动应力变化规律，提出了安全预应力锚索在爆破条件下的安全施工措施与指标。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先，通过方位角的Fourier变换，将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组，基于径向Hankel变换，建立问题的状态方程，求解状态方程后得到传递矩阵；其次，利用传递矩阵，结合层状饱和地基的边界条件、排水条件及层间接触和连续条件，给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解；然后，按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程，并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程，并给出了算例。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。