微分

The problem of approximate solution to a class of time delay differential equations was studied.

研究了一类时滞微分方程的近似解问题。

Meanwhile, many new perturbed PDEs in science and technology need us to seek out approximate solutions.

同时随着科学技术的发展，出现了一些扰动的偏微分方程，需要我们去寻找它的近似解。

In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence, uniqueness and iterative approximation theorem of solutions of initial value problems for second order mixed monotone type of impulsive differential equations.

利用混合单调凝聚算子的耦合不动点定理，给出了二阶混合单调型脉冲微分方程的初值问题的解的存在唯一性及迭代逼近定理。

Part Two. The approximation theory of distributed parameter systems.

偏微分方程的特征函数理论是研究分布参数系统的一个有效方法，但分布参数系统的特征函数的求取十分困难。

Based on first order ODE approximation theory and Hopf bifurcation theory, the nonlinear motion stability of the train is studied emphatically.

基于常微分方程的一次近似理论和Hopf分叉理论，重点研究了列车系统的非线性运动稳定性。

It is the aim of this book to present various basic and important results of vector optimization in an abstract mathematical setting and to demonstrate its usefulness in vector approximation and cooperative differential game theory.

本书的目的是在抽象数学柜架下给出向量优化的各种基本和重要结果并阐述它们在向量逼近和合作微分对策理论中的应用。

The irrational function forms interpolation on a polygonal element with arbitrary nodal distribution was constructed by using mean value coordinates of polygonal elements.

本文采用多边形单元的平均值坐标，构造任意节点分布的多边形单元无理函数形式的插值函数，提出了一种求解微分方程边值问题的多边形有限元方法。

A quantity that has a limit or boundary.The limit of this ratio as the length of the arc approaches zero.

微积分学数学的一个分支，处理单变量或多变量函数的极限、微分以及积分问题

On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

关于一致Besicovitch概周期函数在微分方程中的应用，本文主要做了以下工作：第一，证明了一致B~2概周期函数空间在其特定范数下构成Banach空间，从而可以在此函数空间上应用不动点定理；第二，由一致B~2概周期函数空间的完备性，应用压缩映像原理，讨论了一类满足一定初始条件的带反射变量的波方程一致B~2概周期解的存在唯一性。

For the images of VSMCs cultured on the silicon membrane stretched by pulsatile flow, one method with eight steps based on difference arithmetic operators is proposed. Image enhancing, image graying, halation removing, Canny edge detection, mathematical morphology dilation, edge smoothing, mathematical morphological reconstruction are implemented according to the set sequence.

本文针对膜式张应力装置中体外培养血管平滑肌细胞图像，深入分析了该细胞力学实验中细胞图像的特点，提出了基于微分边缘检测算子的图像分割技术路线，依次为图像增强、灰度化、消除光晕、Canny边缘检测、数学形态学膨胀、区域填充、平滑边缘、形态学重建。

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。