微分

Some necessary and sufficient conditions for the oscillation of solutions of delay hyperbolic differential equation s are obtained.

建立了一类时滞双曲型微分方程解的振动充要条件，揭示了这类双曲方程与相应泛函微分方程解的振动的等价性。

In this paper, we study the existence of solutions for high-order ordinary differential equation systems and delay differential equations, subject to different conditions.

本文研究高阶非线性常微分方程组和高阶非线性时滞微分方程在不同的假设条件下正解的存在性和多重性。

At the same time, numerical solutions of delay differential equation can also give birth to EPCA.

常微分方程的数值求解可以自然的产生EPCA，时滞微分方程的数值求解也可以产生EPCA。

The calculated results show that the total differential cross section is the general rule and characteristics of collision between an atom and a diatomic molecule, the phenomenon of the scattering oscillation at large angles is more evident along with increase of the incident energy for low-lying rotational excitation state-to-state differential cross sections in He-BH collision system.

计算结果表明：He-BH碰撞体系的总微分截面具有原子与双原子分子散射的一般规律和特征；随着入射能量的增加，低转动激发态-态微分截面在大角区的散射振荡现象会更加明显。

As the special characteristic of nonlinearity, several notions are introduced and used in this paper, such as differential manifold, vector field, diffeomorphism, tangent space, topological equivalence. Stable manifold and unstable manifold are also introduced.

针对非线性的特殊性，本文专门介绍了非线性中几个比较特殊的概念，如微分流形、向量场、微分同胚、切空间以及等价关系等，对稳定和不稳定流形也作了介绍。

This main approach is also coincidence degree theory. Moreover, when the time scale T is chosen as the sets of real or integer numbers, the existence of periodic solutions for its differential or difference equation are obtained respectively.

若分别选取时标T为实数集或整数集时，则分别得到它的微分方程或差分方程周期解的存在性，这就避免了对这些生态系统的微分和差分方程周期解的存在性分别进行讨论。

The analysis in theory proves that cellular automaton is equal with a stochastic process that described by stochastic difference equations. The primary differential equation is expectation of this stochastic process. And its variance function is controllable. These results show that cellular automata are in agreement with primary differential equation in the statistical sense.

理论分析证明：该方法设计的细胞自动机等价于一个可用随机差分方程描述的随机过程，该随机过程以原微分方程为期望函数，并且，其方差函数是可控的，表明细胞自动机和原微分方程在统计意义上是一致的。

Differential Difference Equation; Neutral Functional Differential Equation; Stability Switch; Characteristic Equation; Stability; Liapunov Method; Monotone Semiflow; Periodic Solution

基础科学，数学，数学分析微分差分系统；中立型泛函微分方程；特征方程；稳定性开关；解的稳定性；李雅普诺夫方法；单调半流；周期解

Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms.

流形上的几何学讨论的问题是微分流形，向量场和微分形式。

Because of its broad application in differential equation and differential geometry,this algebra was developed rapidly.

由于其在微分方程、微分几何等许多学科中的广泛应用使得该学科得以迅速的发展。

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。