差分方程

The optimal control law obtained consists of linear analytic functions and a compensation term which is a series sum of the adjoint vectors. The analytic functions can be found by solving a Riccati matrix difference equation and a matrix difference equation. The compensation term can be obtained by a recursion formula that solves adjoint vector equations.

得到的最优输出跟踪控制律由状态向量的线性解析函数和伴随向量级数形式的补偿项组成，其解析函数由一次性求解Riccati矩阵差分方程和矩阵差分方程得到，补偿项由求解伴随向量差分方程的递推公式得到。

The great advantage of using these difference equations is that they can be solved on a digital computer to provide approximate solutions to the differential equations.

将这个近似的差分式子代入微分方程中就得到了微分方程的差分近似，这个差分方程可直接用计算机进行求解，使计算方便快捷。

The main idea of the finite difference method is as follows: We consider the discrete difference equation with the finite alphas as approximate substitution for the differential equation with the continuous variant and boundary conditions.

有限差分方法的基本思想是用离散的，只含有有限个未知数的差分方程去近似代替连续变量的微分方程及边界条件，并把相应的差分方程解作为微分方程的近似解。

The modeling of GM (1,1) model is to gain difference equation by dispersing albinism differential equation, then to estimate model parameters by the difference equation.

GM(1，1)模型的建模过程是由白化微分方程离散化得到差分方程，再由该差分方程估计模型参数。

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。

By using Lebesgue s dominated convergence theorem,several new comparison theorems for the oscillations of the difference equations with continuous arguments were established.

利用Lebesgue控制收敛定理，建立了具连续变量差分方程振动性的几个新的比较定理，给出了具连续变量差分方程强迫振动性的充分条件，并举例说明了强迫项对方程解的振动性的影响

Firstly,the differential equation with parameters is given,at the same time,in order to let the truncation error of differential equation reach O(Δt~2+Δx~4) as high as possible,the method of undetermined coefficent is used to appropriately select the expression of these parameters.Secondly,the stability condition of the scheme derived is given by using the Fourier method of stability analysi...

首先给出了含参变量的差分方程，并用待定系数法适当地选取了这些参数的表示式，以使差分方程的截断误差阶尽可能高地达到了O(Δt2+Δx4)；其次用稳定性分析的Fourier方法给出了所得格式的稳定性条件；然后给出了确定差分格式中参数的两种方法，得到了一个稳定性条件为r/3的分支稳定的高精度显式差分格式；最后给出了数值例子，数值结果表明了本文格式较现有同类格式的优越性和理论分析的正确性。

Specially,at lower power density of laser,quasi static model is used to simulate the radial heat dissipation from irradiated region to nonirradiated regions.

在数值计算中，应用部分线性法处理非线性非齐次热传导方程，得到相应的隐格式差分方程，再用追赶法求解隐格式差分方程，得出绝热边界条件下的温度的时间和空间分布，从而得出激光退火的再结晶厚度。

The analysis of dynamic response of the modulation and the demodulation circuit s and the auxiliary car- rier wave amplifier have been considered more in details.

所用方法是差分方程求解法，因为用差分方程来描述具有机械振子的调制解调线路的固有工作过程，要比用相同的初始条件的微分方程来描述更为准确。

Main contents are as follows :In chapter one, we give a survey to the development and current state of the oscillation of differential equations and difference equations. We also introduce some preliminary material , including some basic concepts of the oscillation theory and some important fixed point theorems.In chapter two, we investigate the oscillation of second order self-conjugate differential equation with impulses.

本文由五章组成，主要内容如下：第一章概述了微分方程及差分方程的应用背景和国内、外研究状况，这一章也包括一些预备知识，如有关微分方程、差分方程理论的基本概念和重要的不动点定理。

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。