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Using difference method, the first-order and the second-order differential equations of fractional derivative can become the first-order ordinary differential equation, and the high precision direct integration can be used for the solution.

所论方法首先引入差分格式，将含有分数阶导数的一阶和二阶微分方程变为一阶的常微分方程，然后再用精细积分方法逐步积分进行求解。

The stability of the complicated and high dimension stochastic functional differential systems with Markovian switching can be reduced to the stability of one dimension functional differential equation.

本文研究马尔可夫调制的随机泛函微分系统和脉冲泛函微分系统的稳定性。

In this thesis, we discuss several problems which exist to qualitative theory of the functional differential equation, within which we develop further two important theories, so-called the 3/2 - stability theory and the distribution of zeros of solutions of the functional differential equation.

本文中，我们对泛函微分方程定性研究中存在的若干理论问题进行探讨，对其中两个重要问题即3/2—稳定性理论和零点距估计问题，作了进一步推广。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively. Compared with some known results in the literature, the equations discussed by us are more general, and our results are concise and easy to be verified.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

Through studying some fundamental properties of the curved surface in differential geometry , a method of linear feature extraction based on differential geometry is introduced.

通过研究微分几何理论中曲面的一些基本性质，本文介绍了一种基于微分几何的线状地物提取方法，首先在局部区域内拟合一个二次曲面函数，然后通过该函数来估算灰度曲面的梯度和曲率，设定合适的梯度和曲率阈值来检测线状地物，最后进行后处理，消除许多噪声颗粒及小块区域。

Found a different cDNA library with Malasesiza furfur in hypha phase by Subtractive Hybridization; And sequencing some fragment of differential expression gene. Provid foundation for the further study on complete differential gene expression.

采用消减杂交技术建立了糠秕马拉色菌的差异cDNA文库；并对部分克隆片段进行测序，为今后获得完整的差异表达基因打下基础。

The partial differential equations are discretized to the ordinary differential equations using the Galerkin approach.

利用 Galerkin法离散偏微分方程，得到两个自由度非线性控制方程，并且利用多尺度法得到了平均方程。

In this paper we contribute the general integral formula of second order linear differential equation with constant coefficients by means of decreasing order So we can integrate directly to solve this kind differential equation .

本文通过降阶法给出了求二阶常系数线性微分方程通解的方法，并根据特征根的不同情形给出了具体的通解公式，即可通过积分直接求微分方程的通解。

In this paper,using inverse differential operator and its linear property,we present the particular solution of n-th order general inhomogeneous linear ordinary differential equation with constant coefficient.

利用逆微分算子及其线性性质，给出了求n阶常系数线性一般非齐次项微分方程特解公式。

The receding calculations and experiment analyses in this subject are built on the blood cast of pig tongue.

本研究课题的前期工作是采用猪舌血管铸型模拟人舌而进行的数值计算与实验分析。

"Each human infection constitutes an opportunity for genetic modification of the virus through reassortment, mutation, or both...."

&每一次人类的感染都暗藏着一次基因修改的机会，无论是通过病毒的整合、突变或者兼而有之。。。。&