微分

In this paper, according toinfinitesimal criterion in symmetry theorem, using differential Wu-method(char-set byMathematica software) and conditions of symmeties of equation u_=Hu_,we givenew potential symmetries for nonlinear telegraph equation u_=F

本文根据对称理论中的无穷小准则，利用微分形式的吴方法(借助于Mathernatica软件编写的求解微分特征列集的程序包)和u_=Hu_型方程对称的存在条件，得到了非线性电报方程u_=F

Firstly, the system of coupled first-order differential equations of the generalized telegrapher's equations was converted to a system of second-order differential equations.

首先，将时域耦合波方程组的关于轴向z的一阶关联偏微分方程组形式化为二阶偏微分方程组形式；然后采用时域有限差分法"预测-校正"方式对其进行求解。

Oscillation theory of ordinary differential equations in the theory of differential equations is an important branch, it has a profound background of the physical and mathematical model.

常微分方程振动性理论是微分方程理论中的一个十分重要的分支，它具有深刻的物理背景和数学模型。

It is well-known that the theory of impulsive differential equations is not only richer than the corresponding theory of different...

脉冲微分方程不仅比相应的微分方程理论丰富，而且它更加精确和实际的刻画了许多自然现象。

Recently, on the basis of it, many mathematicans begin the systematical study of SBVPs, which have become a important branch of the theory of ordinary differential equations.

近来，在此基础上，数学家们开始了对奇性常微分方程的边值问题的系统研究，它已经成为常微分方程理论中的一个重要分支。

Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition.

本书在第1版的基础上增加了偏微分方程在工程和物理学方面的应用，并且提供了更多数学证明和偏微分方程的原理。

In the first section,the existence of solution for a class of non-linear systems with three -point boundary problem is obtained by applying the differential inequality theory .

在第一部分中，我们应用微分不等式理论证明了一类非线性系统三点边值问题解的存在性；在第二部分中，运用微分不等式理论研究了一类带有转向点的拟线性奇摄动边值问题的非单调内层解；在第三部分中，利用对角化方法研究了一类向量二点或者三点边值问题解的存在性，并获得解及它的一、二阶导数的渐近估计。

And then, by regarding the curve and surface as a map from differential manifold to topological manifold, we present the framework of GRPCS and discussed its basic properties in detail. GRPCS provides a unified framework for parametric curve and surface.

然后通过势函数来构造微分流形上的单位分解，将曲线曲面看作微分流形到拓扑流形的映射，给出了广义有理参数曲线曲面的整体理论框架，并对广义有理参数曲线曲面的基本性质进行了讨论。

Where , then is said to be differentiable at . is called the total differential of at, denoted by , i.e..

可表示为，其中，则称函数在点可微分，而称为函数在点的全微分，记作，即

The nonlinear dynamic system with quadratic and cubic nonlinearities is obtained by applying mathematical transformation to the equation.

基於Karman方程的动态比拟，运用Galerkin法，选用合适的正交函数将控制薄板振动的偏微分方程离散化为常微分方程，得到一带有平方和立方非线性的参数激励和外激励联合作用的非线性动力学系统。

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。