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线性差分
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  linear limiting
     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.
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  “线性差分”译为未确定词的双语例句
     In this paper,we establish a comparison theorem for second order quasilinear difference equation of the type △(|△ y n-1 | σ-1 △ y n-1 +f(n,y n)=0, n=1,2,3…which generalizes and improves some known results.
     建立了形为△ (|△ yn - 1|σ- 1△yn- 1+ f(n ,yn) =0 , n =1,2 ,3…的二阶拟线性差分方程的比较定理 ,推广和改进了某些已知的结果 .
短句来源
     In this paper,the oscillatory properties of quasilinear difference equation of second order Δ (pnφ (Δ xn))+ f(n,xn)=0,n∈ N(n0) is considered,and we get the iif conditions of the equation which is oscillatory.
     研究了二阶拟线性差分方程Δ (pnφ (Δ xn))+ f(n,xn)=0,n∈ N(n0)的振动性,得到了该方程振动的充要条件。
短句来源
     We know the structure of solution on second order homogeneous linear difference equations such as y(n+2)+ p(n)y(n+1)+q(n)y(n)=0, n =0,1,2,. .
     对一般形式的二阶齐次线性差分方程y(n +2 ) +p(n)y(n +1) +q(n)y(n) =0和y(n +2 ) +p(n)y(n +1)+y(n) =0 ,已用于求解结构力学、动态经济学问题以及数学建模等 .
短句来源
     OTA Ladder Filters Realized by the Concepts of Linearly Differential Summation
     用线性差分求和概念实现的OTA梯型滤波器
短句来源
     Mikusinski's Operators Solution for the Second Order Linear Difference Equation with Variable Coefficients
     二阶变系数线性差分方程的Mikusinski算符解法
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  相似匹配句对
     Truncated Differential-Linear Cryptanalysis
     截断差分-线性密码分析
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     Stability of Linear Difference Systems
     线性差分系统的稳定性
短句来源
     Linear Prediction
     线性预测
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     Linear Cryptanalysis of Q Block Cipher
     Q的线性密码分析
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  linear limiting
The very different behaviour in the acidic media is predicted from the linear limiting form of the equations with the assumption that the dendrites approximate to cylindrical rods and follow an instantaneous initiation law.
      


The input-output relationship of any linear time-invariant discrete system can be described by a difference equation The complete solution of a linear difference equation consists of two parts: the free component and the forced component. It can also be decomposed into the zero-input component and the zero-state component。The free componenet and the zero-input component have the same general form, both are the solution of a homogeneous equation. But their meaning is different. In this paper, we shall point out...

The input-output relationship of any linear time-invariant discrete system can be described by a difference equation The complete solution of a linear difference equation consists of two parts: the free component and the forced component. It can also be decomposed into the zero-input component and the zero-state component。The free componenet and the zero-input component have the same general form, both are the solution of a homogeneous equation. But their meaning is different. In this paper, we shall point out this important fact. The free component is a causal sequence, and the zero-input component is a eternal sequence. The concepts are very important for correctly solving the difference equation.

任何一个线性时不变离散系统的输入输出关系都可用线性差分方程式来描写。差分方程式的解答包括两部分:即自由分量和强制分量。它也可以分解成零输入分量和零状态分量。在求全解时,自由分量和零输入分量都是差分方程式的齐次解,二者具有相同形式,但其物理意义却不同。自由分量为有起因序列,零输入分量为无起因序列。这一点对正确地利用初始条件求解差分方程式是非常重要的。本文主要说明二者的差别,并用简单例子说明如何决定二者所含有的常数的方法。

This paper consiste of two parts The first part studies the stability of large scale systems described by ordinary differential equations. The stability of linear large scale systems with constant coefficents and with time varying coefficients and the stability of non-autonomous nonlinear large systems have been investigated. The second part studies the stability of large scale systems described by difference equations. Using the methods of vector Lyapunov functions and scalar Lyapunov functions the au thor...

This paper consiste of two parts The first part studies the stability of large scale systems described by ordinary differential equations. The stability of linear large scale systems with constant coefficents and with time varying coefficients and the stability of non-autonomous nonlinear large systems have been investigated. The second part studies the stability of large scale systems described by difference equations. Using the methods of vector Lyapunov functions and scalar Lyapunov functions the au thor investigates the stability of the linear scale difference systems with time Varying coefficients. For every subsystem, the author constructs the concrete Lyapunov functions and the boundaries of interconnecting terms are obtained.

本文分两部分,第一部分研究了由常微分方程所描述的大系统的稳定性,我们研究了常系数线性大系统的稳定性、变系数线性大系统的稳定性以及非自治非线性大系统的稳定性;第二部分研究了由差分方程所描述的大系统的稳定性,利用向量李雅普诺夫函数方法与标量李雅普诺夫函数方法,我们研究了具有时变系数的线性差分大系统的稳定性。对于每个系统,我们构造了具体的李雅普诺夫函数,并得到了关联项的界限。

In this paper,making use of the mathematical models of populationevolution processes described by differenceintegral equations,we adoptsome different methods of approximate calculation,then we deducethe mathematical models of population evolution processes describedby linear-difference equations in[2]and[3],respectively;and wealso deduce some more exact models of population evolution processes.

本文从差分积分方程形式的人口发展过程数学模型出发,对它采用不同的近似计算方法,分别导出文[2]和[3]的线性差分方程形式的人口发展过程的数学模型,同时还导出了另一个较准确的线性差分方程形式的模型。

 
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