其运动方程是一个非线性微分方程。
该算法也能应用到其它非线性微分方程中。
This algorithm can also be applied to other nonlinear differential equations.
介绍了二阶线性微分方程的又一种常数变异法。
In this paper, we introduced another method of variation of constant of the second-order linear equation.
绝大多数非线性微分方程是不能用解析方法求解的。
The overwhelming majority of nonlinear differential equations are not soluble analytically.
一般说来，线性微分方程属于解起来最简单的一种。
Linear differential equations are, generally speaking, among the simplest to solve.
并将抽象结果应用到超线性微分方程两点边值问题。
Finally, the abstract results are applied to superlinear two-point boundary value problems.
本文讨论了拟线性微分方程边值问题的跳跃层个数。
This paper discusses the numbers of jump layers of boundary value problems in quasilinear differential equations.
本文主要探讨可化为常系数的线性微分方程的求解问题。
This paper mainly deals with the solution to the linear differential equation that can be changed into the one with constant coefficients.
常数变易法是求解非齐次线性微分方程的一种有效方法。
Methods of constant variation are an efficient solution to all nonlinear differential equations.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
给出了常系数非齐次线性微分方程特解的一种新的公式化求解方法。
This paper given the formula of solution for nonhomogeneous linear differential equation with constant coefficients.
给出了带有双侧共振的非线性微分方程周期解存在性的一个新的结果。
A new result about existence of periodic solutions of nonlinear differential equations with double resonance will be given.
引入求解非线性微分方程的微分变换法，将其推广为广义微分变换法。
A differential transform method is introduced to solve nonlinear differential equations and extended as a generalized differential transform method.
还得到了有限离散区间上非线性微分方程在周期边值条件下的一些新结果。
We report some new results about nonlinear differential equations on a finite discrete segment with periodic boundary conditions.
借助于变量代换，求解几类线性微分方程，并得到了几个求解的充分必要条件。
With variable substitution, several kinds of linear differential equations are solved and several sufficient and necessary conditions are obtained.
本文给出了某些二阶非线性微分方程在周期外力作用下存在调和解的若干定理。
In this paper we prove some theorems on harmonic solutions of some second-order nonlinear equations under a periodic external force.
应用类比法，给出了一类五阶非线性微分方程零解的全局渐近稳定的充分条件。
In this paper, analogy method is used to discuss the global, asymptotical and stable zero solution of non-linear five-order differential equation.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
在本文中，研究了高阶非线性微分方程的振动性与渐近性，给出了振动的充要条件。
In this paper, we study oscillation and asymptotic behavior of solutions of higher order nonlinear differential equations, and give necessary and sufficient conditions for oscillation.
利用不动点理论，给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
这种阻尼器的性能可通过一组非线性微分方程来描述，物理参数包括位移、电压和力。
The characteristics of MR damper have been described by a set of nonlinear differential equations including three physical parameters such as displacement, voltage and force.
本文从非线性微分方程的解过渡到线性稳定分析，从而讨论出稳定态与非稳定态的情况。
In This paper, linear steady analysis is Made from the solution of non-linear differential equation and Luther, the situation of steady state or non-steady state is discussed.
对振动超标的悬辊式旋风磨机进行了振动分析，建立了反映磨机运动的非线性微分方程；
Vibration analysis has been made for a hanging roller blast pulverizer which runs over the vibration standard and its motion equation is a nonlinear differential equation.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
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