Difference equations are derived by differential equations.
微分方程经过差分化后引出差分方程。
This method can also be used in other nonlinear differential-difference equations.
这种方法也可用于求解其他的差分方程。
They are described by ordinary difference equations, or in some cases by purely algebraic equations.
这些系统能够用定常差分方程，有时甚至能用代数方程来描述。
In order to solve the two differential-difference equations, a systematic algebraic algorithm is given.
为了求解这两个微分差分方程，给出一个系统的代数算法。
The difference equations for the boundary tangential stress are derived in the case of constant boundary element.
推导出常边界单元情况下边界切向应力的差分公式。
Using the method of upper lower solutions we construct two monotone sequences for the finite difference equations.
把上下解方法应用到相应有限差分系统上，得到两个迭代序列。
The algebraical equations obtained from the difference equations are solved by the line relaxation iterative method.
差分方程形成的代数方程组用线松弛迭代求解。
This is the first time to discuss homoclinic solutions for difference equations, some satisfactory results are obtained.
这是首次研究差分方程的双向渐近解的存在性并获得了满意的研究成果。
The modified salinity difference equations report well the phenomenon of salt stratification in the Pearl River Estuary.
改进后盐度差分方程能较好地反映珠江口盐度成层现象?。
The method of solving the implicit scheme of difference equations by means of imaginary boundary condition was proposed.
提出了应用“假想边界”求解数学模型的隐式差分格式的方法。
The asymptotical behaviors and periodic oscillations have been studied by applying the modern theories of difference equations.
应用现代差分方程理论对这些数学模型解的渐近性态与周期振荡进行了详细的讨论研究。
Results are useful for differential difference equations and differential integral equations with continuous distributed retards.
所得的结果适用于微分差分方程和具连续分布滞量的积分微分方程。
In this thesis, we will discuss the theory of the realization of difference equations in designing IIR and FIR of digital filters.
主要讨论数字滤波器在采用差分方程实现中的IIR和FIR设计中所涉及的理论支持。
Multiple positive solutions for a class of higher order nonlinear neutral system of difference equations are studied in this paper.
本文研究了一类高阶非线性中立型差分方程组多正解的存在性。
In this paper, we investigate the existence of almost periodic solutions and pseudo almost periodic solutions for difference equations.
本文主要讨论了差分方程的概周期解与伪概周期解的存在性。
The difference equations are solved by the alternating group explicit (AGE) method which is specially suitable for parallel calculations.
用交替分组显式(age)方法求解了差分方程，方法便于并行计算。
The focal point is to construct a new embedding overlapped iterative algorithm for solving one-dimensional implicit difference equations.
主要构造了求解一维隐式差分方程的四点嵌套迭代并行算法，并证明了它的收敛性。
The difference equations for ADI method with the orthogonal curvilinear coordinate are developed, which are applicable to a complex boundary.
导出了本文正交曲线坐标系下的ADI法差分公式。本文方法边界适应能力强，计算时间短，内存少。
In fact, any numerical discretization method has truncation error and there's no need to treat the difference equations as equality constraint.
事实上，由于任何数值离散方法均存在截断误差，将其作为等式约束是没有必要的。
Through instrumental variable identification method, the single input single output difference equations and the Z transfer function were gotten.
采用辅助变量辨识方法辨识得到单输入单输出差分方程和Z传递函数。
This paper is concerned with of asymptotic behavior for a family of neutral delay nonlinear difference equations, which improves some known results.
本文研究一类非线性中立型时滞差分方程的非振动解的渐进性，改进了相关的结果。
With these difference equations and compensatory ones, the torsion problem of this kind of beam can be solved to get its torsional shear stress and co.
联立差分方程和补充方程即可求解此类复杂截面的扭转问题，得到扭转剪应力及截面扭转常数。
In the second part, we mainly consider oscillations of solution of some linear and nonlinear partial difference equations with discrete variables and delays.
第二章主要是研究某些类型的线性或非线性的带有离散时滞的偏差分方程解的振动性的判别法。
This dissertation aims at the study of dynamical properties of discrete-time dynamical systems, which include difference equations and discrete neural networks.
本文主要针对离散时间动力系统的动力学性质研究，包括差分方程及离散人工神经网络两个方面的研究。
The oscillation problem for a class of the second order neutral difference equations with several variable delay arguments and variable coefficients was studied.
研究了一类具有多个变滞量的变系数的二阶中立型差分方程的解的振动性，得到了该类方程振动及其解的一阶差分振动的充分条件。
Establishes the relationship between the oscillation of neutral difference equations with continuous variable and that of its associated linear limiting equations.
研究具有连续变量的中立型差分方程，建立非线性差分方程与其对应线性差分方程振动性间的关系。
Some sufficient conditions are obtained for the oscillation of first order neutral differential-difference equations with positive and negative periodic coefficients.
本文获得了一阶正负周期系数的中立型微分差分方程振动的充分条件。
It shows that for some difference equations, we'd better adopt the expansion equations in the process of the heuristic method being applied to these difference equations.
结果表明，对于部分有限差分方程，在用启示性方法分析其计算稳定性的过程中最好采用从差分方程推导来的展开式以期得到较合理的结果。
A class of nonlinear delay difference equations is considered. The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散的。
A class of nonlinear delay difference equations is considered. The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散的。
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