微分

Some sufficient criteria were obtained for oscillation of all solutions of such systems under first boundary value conditions by employing Gauss＇ divergence theorem, the integral inequalities and some results of the functional differential equations.

研究一类具非线性扩散系数的中立型双曲泛函偏微分方程组的振动性，利用Gauss散度定理、积分不等式和泛函微分方程的某些结果，获得了该类方程组在第一类边值条件下所有解振动的若干充分判据，结论充分表明振动是由时滞量引起的，同时也揭示该类方程组与普通双曲型偏微分方程组质的差异。

In a proper condition, U(superscript *) is a generalized solution of the differential equation system.

提出了象凸微分方程组的概念，并用这一概念对一类微分方程组的边值问题提出了一种新的变分迭代解法，此迭代解的极限U存在；在适当的条件下，U为此微分方程组的广义解，应该指出：1。

It is useful for the direct and inverse solution of geodesic problem and applying in digital elevation model and 3D GIS model. geodesic coordinate system ; direction angle ; geodesic line ; differential relationship

本文则进一步探讨测地坐标的一些微分性质和微分关系式。1 基于测地坐标的大地线的二阶微分方程按照曲面的内蕴几何学，由

Based on the partial differtial equation,the solution of an integro-differential equation in an infinite interval is expressed in terms of the solution of this kind of equation in a finite interval.

研究了跳扩散框架下采用障碍红利分配策略模型中的自由边界问题，利用偏微分方程理论将有界区间上积分-微分方程的解用无界区间上积分-微分方程的解表示，在此基础上得到了期望累积贴现红利函数及自由边界所满足的方程

Limits, Continuity, Derivatives, and Integration of Single Variable, Integration Techniques, Applications of Derivatives and Integrals, Infinite Sequences and Series, Multivariable Function and Their Derivative, Multiple Integrals, Integration in Vector Fields.

课程内容：单变数函数之极限、连续、微分、积分，积分技巧，微分与积分的应用，无穷数列与级数，多变数函数之偏微分、可微性，多重积分，极值问题，向量场积分。

In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论，并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法，其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法，最后，介绍了两类数值求解非线性微分方程问题的方法。

Here pis 1 or 2.In chapter 8. we extend the Runge-Kutta methods to variable delay differentialalgebraic system. It is proved that if the Runge-Kutta method which is algebraicallystable and diagonally stable is consistent with order p , the extended Runge-Kuttamethod with Lagrange interpolation procedure is D_A-convergence with order M. HereM=min{p, u + q + 1 }, and u + q is the degree of Lagrange interpolation polynomial.

第八章将求解常微分方程的Runge-Kutta方法改造后用于求解变延迟微分代数系统，并且证明如果代数稳定且对角稳定的Runge-Kutta方法对于常微分方程初值问题在经典意义下是p阶相容的，那么具有Lagrange插值过程的该方法是M阶D_A-收敛的，M=min{p，u+q+1}，u+q为Lagrange插值多项式的次数。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容：通过对本课程学习，使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法，对微分方程初值问题的一些基础理论有一定的了解，对

By means of the qualitative theory and method of delay differential equations, the weak conditions for the bound-edness of the system are obtained. By use of differential mean value theorem and computational techniques on delay differential equations, we show that the system is globally asymptotically stable under condition for the boundedness.

用时滞泛函微分方程的定性理论得到了系统有界的较弱的条件，并运用微分中值定理及有关时滞微分方程的计算技巧，我们获得了在系统有界这样弱的条件下就能保证系统全局渐近稳定的结论。

Relative to SDE, the study for the solution of BSDE under non-Lipschitz condition is absence, especially when the uniqueness of the solution can not be guaranteed, the existence of minimal and maximal solution of BSDE are not be studied.

相对于正向随机微分方程，非Lipschitz条件下倒向随机微分方程解的性质的研究尚不够丰富，特别是条件不能保证方程解唯一时，倒向随机微分方程最大最小解的存在性尚未见有成果。

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。