微分

Based on structuring a quotient space,consisting of pairs of convex compact sets,this paper discusses the uniqueness of quasidifferential of quasidifferentiable function.

本文在构造凸紧集对商空间的基础上，讨论了拟可微函数拟微分的唯一性，指出拟微分的表示可以不唯一。

METHODS The partial differential equation is reduced into a set of ordinary differential equations by using finite difference method.

采用有限差分方法，将偏微分方程组约化为常微分方程组。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity.

对于非线性运动方程，我们引入了外加强迫力和阻尼对系统的摄动，借助Galerkin方法从非线性偏微分方程得到了含二次非线性的常微分方程。

This paper research on the effect of investment with reserve for insurance price by theory of backward stochastic differential equation.

本文利用倒向随机微分方程的理论，在考虑保险公司提计准备金的背景下研究投资对于保险价格的影响，建立了再保险投资定价的正倒向微分随机方程的模型，并给出了保险价格的显性解。

In the third chapter, because there are theories about the systems without being generate and delay when they are of restricted state right endpoint, and thus based on that, the optimal control problems of the generate systems with delay with restricted state right endpoint is considered in the chapter.

第三章，由于在讨论不具有退化时滞的常微分系统的最优控制问题时候常常会涉及到右端受到限制的情形，由此推广到讨论退化时滞微分系统在右端受限的情况时候的最优控制问题，在本章里就对这样的最优控制问题进行了讨论，得出了一些重要结论。

The differential equations of three mass points are derived for different mass relations between them,and their analytic solutions are obtained,by which the movement rule of three mass points are discussed.

分析了一个由三质点和弹簧构成的系统的运动问题，给出了三质点质量满足不同关系时各质点的运动微分方程，求出了运动微分方程的解析解，并由此讨论了各质点的运动规律。

Firstly,using the method of concentrate mass this paper establish a non-linear dynamics model of a two-stage gear train with backlashe between the gear pair,and through analysed the dynamics model,the torsional motion differential equations are got , on this basis,then calculate the torsional motion differential equations using Runge—Kutta method ,and discuss how to influence the dynamics characteristic of system when these parameters chage such as mesh frequentcies、 stiffness of the intermediate shaft、the ration of mesh frequentcies.and discuss when the chaos will happen under the change of these parameters.

首先用集中质量法建立系统的含间隙的非线性动力学模型，并根据牛顿力学定理，得到系统的运动微分方程。然后对所建立的运动微分方程运用四阶变步长Runge—Kutta方法进行了求解，并对计算结果进行分析，研究了齿轮啮合频率、中间联接轴的刚度，一、二级齿轮的啮合频率比等参数变化时，对系统非线性动力学特性的影响规律，并讨论了当参数如何变化时会导致系统的混沌响应的出现。

In this paper by use of a new differential operator similar as one introduced by Cheng and Yau,we obtain a rigidity result for a compact submanifold of constant scalar curvature in a unit sphere.

宣满友 ，盛为民本文利用一个类似于Cheng和Yau引进的微分算子的新微分算子，得到了单位球面中常数量率的紧致子流形的一个刚性结果。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

This thesis is concerned with the existence of solutions of semilinear evolution impulsive equations as well as the existence of positive solutions of them. And the existence of solutions for terminal problems of impulsive differential equations is also concerned in this thesis.

本文主要研究半线性发展脉冲微分方程解和正解的存在性，以及脉冲微分方程终值问题解的存在性。

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。