Some new criteria of oscillation or non-oscillation are presented for certain nonlinear second order difference equations. Several examples are given to illustrate the results.
对一类二阶非线性差分方程的解给出了几个振动或非振动的判定定理，并举例说明了定理的应用。
Chapter 3 is centered around the existence of periodical solutions for non self-adjoint nonlinear second order difference equations by invoking matrix theory and coincide degree theory.
第三章利用矩阵理论与重合度理论，讨论了一类非自共轭非线性二阶差分方程周期解的存在性问题。
The nonlinear Schrdinger equation leads to a second order nonlinear difference equation, and we obtain transmission spectrum of wave by iterating the difference equation.
把非线性薛定谔方程转化成二阶差分方程，通过迭代此差分方程得到透射谱。
The main contents of first chapter are several difference schemes of first-order and second-order differential equations.
第一章有限差分方法主要内容是一阶和二阶的两点式、三点式和五点式差分方案。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
In this paper, a new method of error estimate for the generalized difference method of second order elliptic problems on triangle grids is given.
文章给出了三角网格上二阶椭圆问题广义差分方法的一种新的误差估计方法。
In this paper, the second order fully discrete difference method for a partial integro-differential equation is considered.
本文给出了数值求解一类偏积分微分方程的二阶全离散差分格式。
The mathematical expression of this model is a second order non linear ordinary difference equation.
该模型的数学形式是一个非线性二阶常微分方程，利用有限差分方法进行求解。
A new entropy dissipator, based on the second-order difference of the numerical solution is given.
并且给出了一个新的以数值解的二阶差分作为基本模块的熵耗散函数。
The slope of flexibility difference was introduced to locate possible damage elements, and the damage extent was estimated using the second order eigen-sensitivity approximation method.
引入柔度差值斜率的概念确定结构可能出现损伤单元的位置，采用基于二阶特征灵敏度的方法确定可能损伤单元的损伤程度。
Given the stability, error estimate and numerical experiments for the nonlinear equation of second order backward difference(4)Given the weighted of second order convolution quadrature.
给出非线性方程的二阶向后差分格式稳定性、误差估计。 （4）给出二阶卷积积分的权重。
The autheors obtain results on the oscillations of solutions of a second order nonlinear neutral difference equation.
该文讨论了一类二阶非线性中立型差分方程解的振动性，扩充并改进了此类方程的已有结果。
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。
According to the second-order difference of the consecutive pixels, the source pixel group is automatically selected to compute the corresponding target pixel gray value.
该算法以相邻像素的二阶差分为基础，自动选择与目标像素点相对应的源像素组进行插值运算。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。
In this paper, We discuss a class of boundary Value problems of second order singular perturbed nonlinear differential difference systems.
本文讨论一类二阶奇摄动非线性微分差分方程组的边值问题。
Various borehole and formation conditions were simulated using the fourth order accuracy in space and second order accuracy in time centered finite difference method.
利用空间上具有四阶精度、时间上具有二阶精度的中心差分方法，数值模拟了几种复杂井眼条件下的波场。
Modifying the salinity difference format and salinity equations of the original model, the present model USES the second-order accurate difference format and introduces the term of physical diffusion.
改进了原模式的盐度差分格式和方程，采用二阶精度差分格式并引入了物理扩散项。
The oscillation for a class of the second order neutral difference equations with several variable delay arguments and variable coefficients are 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。
The TM set of equations can be solved using a finite difference time domain (FDTD) approximation that is second-order accurate in both space and time.
采用时间和空间均为二阶精确的有限差分方法，将偏微分方程进行差分化。这样，空间的电磁场可由时间域有限差分法（FDTD）来求解。
The second-order Boolean difference was obtained by double transform operations to produce new product items, and the same product items were deleted.
二阶布尔差分通过两次变换产生新积项，并删除相同积项来得到。
In this paper a linear estimation problem for a stochastic process which is viewed as the output signal of a linear second-order vector difference equation driven by a white-noise input is considered.
本文考虑在白噪声输入情况下，二阶向量差分方程随机输出信号的滤波估计问题。
Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
Two-point boundary value problems of second order Hammerstein type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
Second, the free-boundary is handled by using combination of the zero-velocity method with the general ghost-image method and fourth-order difference format is used in free-boundary.
然后采用将零速度法和广义虚像法相结合的方法来处理自由边界，并在自由边界上采用四阶精度差分格式；
The Euler solution is obtained using time-marching method by MacCormack two-step finite-difference scheme, which has second-order accuracy in both time and space.
应用隐式时间推进法对不同马赫数的无粘和粘性流动进行数值分析 ，给出了基于预处理方法的高阶精度隐式求解方法。
Here, we use second-order, temporal - and high-order spatial finite-difference formulations with a staggered grid for discretization of the 3-d elastic wave equations of motion.
采用时间上二阶、空间上高阶近似的交错网格高阶差分公式求解三维弹性波位移-应力方程，并在计算边界处应用基于傍轴近似法得到的三维弹性波方程吸收边界条件。
Here, we use second-order, temporal - and high-order spatial finite-difference formulations with a staggered grid for discretization of the 3-d elastic wave equations of motion.
采用时间上二阶、空间上高阶近似的交错网格高阶差分公式求解三维弹性波位移-应力方程，并在计算边界处应用基于傍轴近似法得到的三维弹性波方程吸收边界条件。
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