结果建立了描述种群生长的非线性差分方程模型。
RESULTS Model of nonlinear difference equation that describes the growth of population has been established.
结论该非线性差分方程模型具有良好的可靠性和稳定性。
CONCLUSION Model of nonlinear difference equation has the advantage of reliability and stability.
提出一种基于非线性差分方程模型的弥散非线性信道自适应均衡器。
An adaptive equalizer of dispersive non-linear channels based on non-linear difference equation model is proposed.
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。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
利用离散杜氏变换，给出线性离散系统零状态响应计算式，并可用以解线性差分方程；
With the aid of discrete Du's Transformation, we can solve the zero-state response of a discrete-time system usually described by a linear difference equation.
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。
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.
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。
Establishes the relationship between the oscillation of neutral difference equations with continuous variable and that of its associated linear limiting equations.
通过时滞微分方程和离散差分方程的振动性，建立了具有连续变量的非线性差分方程的振动性条件。
This paper made use of oscillations of delay differential equation and difference equation, established oscillation criteria for nonlinear difference equation with continuous argument.
研究了三阶Poincaré差分方程解的渐近性质。这种差分方程对应的常系数线性差分方程的特征方程有重根。
We studied the asymptotic behavior of solutions to third order Poincaré difference equation whose characteristic equation has multiple roots.
几十年来，非线性差分方程理论已广泛应用于计算机科学、经济学、神经网络、生态学及控制论等学科中出现的离散模型。
In the last decade, nonlinear difference equation theory has been widely applied in the discrete models of computer science, economy, neutral net, ecology and control theory.
差分后形成的大型七对角线性方程组，可采用逐次线松弛方法迭代求解。
Line Successive Over Relaxation (LSOR) can be used as one method to calculate the equation.
采用双参数地基模型来改进温克尔地基模型，并用有限差分的方法求解任意荷载下条基的微分方程，得到便于工程计算的线性方程组。
Take double parameters foundation model to improve Winkler model, and use finite difference method to resolve linear basis under columns and get linear equations which could be easily used in works.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
利用拓扑度理论对一类非线性泛函差分方程周期解的存在性进行了讨论，得到该问题周期解的一个存在定理。
The existence of periodic solution to nonlinear functional difference equation is considered by using the topological degree, and a periodic solution of this problem is obtained.
运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性，得到一个充分条件。
Global asymptotic stability of a class of nonlinear rational difference equations was studied by means of setting up an auxiliary equation, so that a sufficient condition was obtained.
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 nonlinear Schrdinger equation leads to a second order nonlinear difference equation, and we obtain transmission spectrum of wave by iterating the difference equation.
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。
Multiple positive solutions for a class of higher order nonlinear neutral system of difference equations are studied in this paper.
研究二维非线性延迟抛物型微分方程交替方向差分方法。
The alternating direction difference method for the two-dimensional nonlinear delay parabolic differential equation is given.
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。
In this paper, We discuss a class of boundary Value problems of second order singular perturbed nonlinear differential difference systems.
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。
The mathematical expression of this model is a second order non linear ordinary difference equation.
研究了一类具有多变滞量的高阶非线性中立型差分方程的振动性，给出了此类方程振动的一个充分条件。
The oscillation for a class of higher order nonlinear neutral difference equations with several delay arguments is studied. A sufficient condition for the oscillation of the equations is obtained.
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 autheors obtain results on the oscillations of solutions of a second order nonlinear neutral difference equation.
提出了一种新型的分步有限差分(SSFD)算法来求解非线性锁模脉冲传输方程。
A novel numerical algorithm SSFD (split-step finite difference) has been presented for solving nonlinear pulse propagation equation.
给出了求常系数线性齐次差分方程组通解的一种方法，用一个例子说明所给方法。
This paper gives a method to obtain solution of linear homogeneous difference systems with constant coefficients. The method of this paper is illustrated by a example.
研究了一类高阶非线性中立型差分方程正解的存在性和渐近性。
This paper is concerned with the asymptotic behavior and existence of positive solutions for a class of higher order nonlinear neutral difference equation.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
新模型由差分动态系统和非线性互补函数（NCP）转换的半光滑方程系统构成。
The new model is composed of difference dynamic system and semi-smooth equations reformulated by NCP.
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。
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。
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.
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