上微分

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

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。

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。

Based on Wu's elimination method and "divide-and-conquer" strategy, the undetermined coefficient method for constructing polynomial conservation laws of nonlinear differential-difference equations was improved. Furthermore, a Maple package CLawDDEs was developed to automatically derive conserved densities and associated fluxes of polynomial differential-difference equations.

基于吴消元法和"分治"策略，改进了基于标度不变性构造非线性微分差分方程多项式形式守恒律的待定系数算法，并在计算机代数系统Maple上实现了改进后的算法，其中的软件包CLawDDEs可自动推导出微分差分方程的守恒密度及连带流。

This method transforms the problem of time-domain response analysis from differential equations with boundary conditions to ones with initial conditions describing the ABCD matrices of multiconductor transmission lines, which are much easier to solve from the mathematics point of view.

在第四章，通过引入传输线的ABCD矩阵，提出了多导体传输线时域响应分析的一种新方法，该方法将时域响应分析从边值问题的微分方程转化为数学上更易求解的初值问题的微分方程，对传输线各个传输模式进行了综合考虑，避免了来回跟踪反射波的复杂过程。

This technique is to convert signed digraphs to Forrester schematics and then to convert Forrester schematics into differential equtions via the concepts in system dynamics and by means of computer technology.

本文将讨论复杂系统的微分方程模型的人机交互自动建模技术，这种建模技术实质上就是通过人机对话方式，借助于系统动力学的一些概念，实现从系统动力学的因果关系图到流图，以及从流图到系统的微分方程模型的转变。

Then by using the generalized Gronwall inequalities, the oscillation for second-order self-adjoint differential equations is discussed and new oscillation criteria are obtained.

第一章为综述，简要回顾常微分方程、泛函微分方程及时标上的动态方程等的振动理论的发展与现状，同时介绍了本文的主要工作。

An improved tracking differentiator is proposed based on the study of typical tracking differentiators.

在对典型跟踪微分器深入研究的基础上，提出一种改进的非线性跟踪微分器。

The initiative shoot condition of the ballistic equation of rocket gun is still general,but on the warship,the ship mov- ing will make the solution of the equation great deviation.

现有的火箭炮弹道微分方程组是建立在静止的发射条件上，舰载火箭炮采用该方程组进行解算时会产生较大的解算误差，为了减小因舰艇运动引起的误差，文中建立了解舰载火箭炮弹道微分方程组对舰艇基本运动和摇摆进行修正的模型。

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。