解析微分

Furthermore, it is proved that, under the sufficient condition, the multistep Runge-Kutta method is GP d-stable if and only if it is A-stable.

在文献 [2 ]中，Bellen等考虑了中立型延迟微分方程解析解及单步Runge -Kutta方法的渐近稳定性。

Then, according to differential equation of pile displacement and algebraic equation of neutral plane, the depth ratio of neutral planeλis solved by semi-analytical method. In the calculation example, the influence of pile compressive modulus, pile length and compressive modulus of subsoil beneath pile-bottom on the parameterλis analyzed. Moreover, the range ofλis also calculated.

然后，根据桩体位移微分方程和中性面代数方程，应用半解析的方法求解了中性面深度比λ，由算例分析了桩体压缩模量、桩长和桩端土压缩模量三个影响因素的变化对中性面深度比λ的影响，及刚性桩复合地基中性面深度比λ的取值范围。

Based on the assumptions of semi logarithmic relationship between coefficient of permeability and void ratio as well as the relationship between effective stress and void ratio of soil, the method of Lie Group Transformation is applied to solve the non linear partial differential equation of large strain consolidation of homogeneous saturated clay in semi infinite domain.

基于有效应力与孔隙比以及渗透参数与孔隙比之间的关系的一些假定，采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程，得到了一个不考虑自重固结的完全解析解。

Therefore,it is necessary to research diffusion equation for suspended sediment because it describes the sediment move process in the water body.The equation is a various coefficients second-order linear partial differential equa-tion,such equation under complex boundary condition is very difficult to get its analytical solution,while its numerical solution relative analytical solution is more easier and has the obvious superiority:simple,the computation convenience.but to get a kind of difference format which is good accuracy and stability is not easy.

泥沙扩散方程实际上是一个变系数的二阶线性偏微分方程，这样的方程在各种复杂边界条件下求解是十分困难的，求它的解析解在数学上存在着难以克服的障碍，无法求出其精确解，因此常用数值方法求它的近似解，相比较而言，数值方法有着明显的优势：即简单灵活、计算方便快捷，但要寻找一种精度高、稳定性好、计算方便的差分格式也并非易事。

The reaction-diffusion model has been developed according to some hypothesis and predigestion.

通过对某些条件的假设与简化处理，得到了偏微分方程组的解析解，即反应一扩散模型。

The paper introduces a differential equation derived from Markov theory and probability generating function.

文章介绍用Markov理论与母函数方法建立相关微分方程，并导出近似解析解，着重对常数源在系统中的涨落作了数学描述，给出了数值例子。

The simulated results of Prussian Blue modified electrode were well agreed with that reported in literature.

这是因为，要获得描述某一电化学体系的微分方程在一定初始和边界条件下的解析解，并非轻而易举。

First,making use of martingale method,pricing formula on European contingent claim,price of call and put option were obtained;Then the partial differential equation which price of European contingent claim satisfgied was deal with and hedging strategy for option was obtained.The sensitivity analysis was given.

首先利用鞅方法给出欧式未定权益一般定价公式，并得到欧式买权、卖权价格的解析表达式及平价关系，推广了一般Black-Scholes模型及Merton模型的结果；其次利用Ito公式给出欧式未定权益价格应满足的偏微分方程和套期保值策略；最后给出了欧式期权价格的灵敏度分析。

Application and development of platelet transpiration cooling technology in LRE;2. The Computation and Analysis of Heat Transfer of Platelet Cooled Microchannel on the High Temperature and High Pressure Gas Wall;3. Physical-mathematic model is built for the process of evaporation and combustion of the two interactive arbitrary size semisphere pearly transpiration droplets in platelet hole structure under micro-gravity condition.

针对微重力条件下层板孔隙结构中两个相邻任意尺寸半球形珠状发汗的蒸发与燃烧过程，建立了相应的数学物理模型；在双球坐标系中求解分子扩散传质偏微分方程，得到发汗液珠的分子扩散组分分布的解析解和扩散速率表达式；分析得到在常温、高温条件下蒸发以及燃烧状态下发汗液珠的相互作用因子式，计算了相互作用的发汗液珠在不同条件下的发汗蒸发量以及变化趋势。

A special analytical solution is derived for the simultaneous differential equations of a dynamic mathematical model for the evaporating surface in supercritical pressure boilers given by Ref.

对文献［1］给出的超临界压力锅炉蒸发受热面的动态数学模型所建立的三个联立偏微分方程组，导出了假定工质压力不随时间变化条件下的解析特解，阐明了该特解的物理意义。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。