条件方程

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

In this research, the plane 2D mathematical model under Cartesian coordinate system and the

首先建立了直角坐标系正交网格下的平面二维数学模型及复杂边界适体坐标条件下的三维紊流数学模型，对方程的离散差分格式、控制方程的求解、初始边界条件、动边界处理等问题进行了分析研究，并编制相应的计算程序。

And the equation of free vibration, which settle for the displacement compatibility condition is presented.

在两端简支的边界条件下，推导出基于正交异性理论的自由振动特征方程；使用模态分离的方法，推导出位移和变形协调条件的自由振动方程。

The different methods for establishing the equations of vehicle-bridge system are summarized and assessed. The vehicle-bridge coupling relationship, including the geometrical compatibility condition and the static equilibrium condition at the interface of wheel/rail, is established. The forces on the vehicles, which coming from bridge deflection and track irregularity, and those on the bridge, which coming from vehicle deflection, are given. Then, the governing equations of vehicle-bridge system are setup.

提出了车桥系统运动方程求解的分离迭代技术和相应的数值解法：对建立车桥系统方程的各种不同方法进行归纳与总结；详细建立了车桥耦合关系，即轮轨接触点处的几何相容条件和静力平衡条件；给出了由于桥梁位移和轨道不平顺而引起的作用在车辆上的轮轨力，以及由于车辆位移引起的作用在桥梁上的轮轨力。

Based on a chosen normalized boundary equation, a new normalized boundary equation can be established such that the irregularity of the kernel of integral equations is overcame. Finally, natural frequency is obtained by the existence condition of nontrivial solution of the discrete algebraic equations derived from the integral equations.

边界方程有多种选择，在选定一种边界方程的基础上，可以通过建立一个新的边界方程来表示问题的边界，以克服积分核的奇异性；最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。

Under the fixed and clamped boundary conditions, a nonlinear differential oscillation equation with quadric and cubic items was presented by the Galerkin method, and a nonlinear free oscillation equation of the shallow reticulated shells with damage was solved.

基于Lematire等效应变损伤原理，计及扁球面网壳各个杆件的损伤影响，根据薄壳非线性动力学理论推导出含有损伤扁球面网壳非线性动力学方程和协调方程，在固定夹紧边界条件下，用Galerkin方法得到一个含二次和三次非线性振动微分方程，并对具有损伤扁球面网壳的非线性自由振动方程求解。

Based on the two phase anisotropic model this paper analyses and presents the dynamic equations of elastic wave propagation, the Galerkin variational equation, and the finite element equation in two phase anisotropic media.

基于双相各向异性介质模型，首先推导了双相各向异性介质中弹性波传播的动力学方程及其Galerkin变分方程和有限元运动方程，然后给出了孔隙弹性波方程的有限元数值解法以及二维双相PTL介质中波场模拟的人为吸收边界条件。

The dynamics equations of soil water vaporizing and ammonia volatilizing hcluding the factors of water and temperature, and the dynamics-like equation of urea transforming into ammonium nitrogen in soil are founded in the paper, by taking the effect of interaction of water and temperature as subject, the dynamic change character of object studied as basis and using principle of chemical dynamic; The empirio-equations of soil water retention curve including temperature and the empirio-equations including temperature between water potential of millet seedling leaves and soil water are founded in order to make the equation of relation between water potential and water content in soil suit the demand of temperature change much better.

本文以水热耦合效应为主题，基于研究对象的动态变化特征，应用化学动力学原理，建立了含水、热因子以及水热耦合效应的土壤水分蒸发、肥料氨挥发动力学方程，以及施入土壤中的尿素转化为铵态氮的动力学型方程；为使水势—含水量关系式更好适应变温条件应用的要求，建立了含温度因子直接表征土壤持水曲线的经验方程，以及含温度因子的谷苗叶水势与土壤含水量关系经验方程。

The dynamics equations of soil water vaporizing and ammonia volatilizing hcluding the factors of water and temperature, and the dynamics-like equation of urea transforming into ammonium nitrogen in soil are founded in the paper, by taking the effect of interaction of water and temperature as subject, the dynamic change character of object studied as basis and using principle of chemical dynamic; The empirio-equations of soil water retention curve including temperature and the empirio-equations including temperature between water potential of millet seedling leaves and soil water are founded in order to make the equation of relation between water potential and water content in soil suit the demand of temperature change much better.

本文以水热耦合效应为主题，基于研究对象的动态变化特征，应用化学动力学原理，建立了含水、热因子以及水热耦合效应的土壤水分蒸发、肥料氨挥发动力学方程，以及施入土壤中的尿素转化为铵态氮的动力学型方程；为使水势—含水量关系式更好适应变温条件应用的要求，建立了含温度因子直接表征土壤持(来源：A9eBC7b4b论文网www.abclunwen.com)水曲线的经验方程，以及含温度因子的谷苗叶水势与土壤含水量关系经验方程。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。