差分方程

The background assumed on the part of the reader is a knowledge of undergraduate differential and integral calculus and of elements of differential equations, and the experience of a probability and statistics course based upon a calculus foundation.

具备微积分，微分方程基础和以微积分为基础的概率论基础知识的学生均可选学这门课程，如果进一步具有诸如变换，差分方程和马尔科夫过程这些更高一点的数学基础，对学习此课程会更有帮助。

In mathematics, the time scale calculus is a differential equation and differential equations in a uniform.

在数学中，时标微积分是差分方程和微分方程的一种统一。

By applying the explicit and implicit Euler methods to the neutral delay differential equation, two difference equations of the numerical solution are obtained.

把显式Euler方法和隐式Euler方法分别应用到这个中立型微分方程，得到了两个关于数值解的差分方程。

More importantly, difference equations also appear in the study of discretization methods for differential equations.

更重要地，在对微分方程的离散化方法的研究中也出现了差分方程。

In this paper, the authors consider the even-order neutral difference equations with continuous arguments. By using Lebesgue' dominated convergence theorem, a necessary and sufficient condition for the existence of eventually positive and bounded solutions is obtained.

研究一类具连续变量偶数阶中立型时滞差分方程，利用Lebesgue控制收敛定理给出这类方程存在最终有界正解的一个充分必要条件，得到相应新的比较定理。

In this paper, the oscillation of forced neutral difference equations with positive and negative coefficients is studied and two sufficient conditions of this equation to be oscillatory are obtained.

研究了一类具有强迫项正负系数中立型差分方程的振动性，获得了方程振动的两个充分条件。

According to the properties of Wiener increments and the independent relation between the Wiener increments and the numerical solutions, the difference equation obtained by applying the numerical method to the general linear test equation is studied carefully in mean square sense and the conditions under which the numerical method is MS-stable and GMS-stable are determined.

依据维纳增量的性质以及维纳增量和数值解间的独立关系在均方意义下详细分析了数值方法应用到线性试验方程上得到的差分方程，并进一步确定了半隐式Milstein方法MS-稳定和GMS-稳定的条件。

The differential equation methods, integral equation method used for analysis of scattering are reviewed in this thesis.

本文先回顾了用于散射分析的差分方程法和积分方程法等。

Chapter two gives mathematical methods of controlled objects: state space method,dispersing method of dynamic equation about controlled objects, and solution and propertiesof linear difference equation.

第二章：介绍了受控对象的数学描述方法状态空间法、受控对象动态方程的离散化方法、线性差分方程的解及其性质。

In this paper,the numerical methods for the LS equation of three-dimensionaldetonation wave are introduced.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式(点、线、面、散心、聚心)下初值条件的设定，以及各种边界条件的处理方法。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。