An improved algorithm for zeroth order perturbation solution is presented.
提出了零阶摄动解的一个改进算法。
The frequency stability, amplitude stability and harmonic content can be deduced from the second order perturbation solution of that equation.
方程的二阶近似解显示出非线性效应对振荡频率稳定度、振幅稳定度及波形正弦纯度的影响。
The triangle mesh is used to proceed to numerical calculation and the compares with perturbation solution and the results in the article is conducted.
采用三角形网格进行了数值计算，并和摄动解及文献的结果进行了比较。
In the paper, a perturbation solution analysis for axisymmetric transversal intrinsic vibrations of annular membranes with varying density is presented.
采用修正摄动法研究了变密度环形薄膜的轴对称横向固有振动，并求得了确定其横向振动固有频率的特征方程。
The second order perturbation solution for the flow of power-law fluid in stillness a helical pipe is obtained with curvature and torsion as small parameter.
以曲率和挠率为小参数得到螺旋管道内幂律流体流动的二阶摄动解。
In this paper, the parabolic equation with boundary perturbation is considered. Using discussion of the solvability, the perturbed solution of original problem is obtained.
本文研究了具有边界摄动的抛物型方程。利用可解性的讨论，得到了原问题的摄动解。
In the regular solution problem of the perturbation equation, the solution of convergence order is important.
在扰动方程的正则化求解问题中，解的收敛性估计是十分重要的。
Point that we not only find the approximate solution by using the perturbation method, but also can find the precise solution.
认为电场中带电谐振子用定态微扰的方法不仅可以求近似解，也可找到其精确解。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
The transition matrix analytic solution of perturbation equations which was widely used in inertial guidance engineering are derived.
本文导出了惯性制导工程中广泛应用的摄动方程转移矩阵的解析解。
This paper by use of perturbation method found asymptotic periodic solution of piston stroke, and found rational periodic for periodic external force.
本文用摄动方法求得了活塞行程的渐近周期解，且为周期性外力求出合理的周期。
This paper introduces the concept of minimal perturbation efficient solution in minimal perturbation constraints programming.
文中引进了极小扰动约束规划的极小扰动有效解概念。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
In this paper, the boundary layer function method, an effective method for the solution of singular perturbation, was presented and used to deal with the heat transfer in thin rectangular plates.
本文介绍了求解奇异摄动问题的一种有效方法——边界层函数法，并用此方法研究了在薄矩形板中的热传导问题。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of differential equations.
运用基解矩阵和摄动方法，给出了两类微分方程的通解表达式。
Several properties about matrix with consistent perturbation are studied and applied into linear equations. Error bounds with the solution perturbation are given.
研究了矩阵列（行）一致扰动的几个性质，并应用于线性方程组。给出了线性方程组系数矩阵一致扰动下解的相对误差界。
The solution of perturbation pressure is used to calculate air bearing's stiffness and damping coefficients.
采用非结构三角形网格的有限元法求解压强摄动方程，并计算气膜刚度系数和阻尼系数。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解， 并进行了讨论。
The relative permeating rate was introduced to describe the effects of the different physical processes. An asymptotic solution has been obtained by using the perturbation theory.
在模型中引入相对渗透速度来刻画药物释放过程中不同机理的影响，并用摄动方法对方程进行了求解。
Lastly, the perturbation boundary element method is verified against the analytical solution and is applicable to transient pressure analysis of arbitrarily shaped reservoirs.
与解析方法的对比表明，本文的扰动边界元方法计算精度很高，适用于任意形状非均质油藏的不稳定压力动态分析。
This method can improve that of perturbation calculation, benefit discussing time behavior of solution, and get some new results.
此方法能改善微扰计算处理，有利于讨论解的时间行为，并得到某些新的结果。
In the end, we prove the validity of the singular perturbation expansions and get some useful deductions about the existence of the classical solution to the flood wave equations.
最后文章证明了对带松弛项的流波方程初值问题所作的奇异摄动展开的有效性，得出了有关解的存在性的一些有用的推论。
The approximate analytical solution is got by using perturbation method.
通过扰动方法求得问题的近似解析解。
If the regular perturbation method is used to solve the same problems, then, when the independent variable is big, so is the error of the solution.
如果用正则摄动法求解此类问题，则当自变量较大时，误差很大。
By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.
我们利用问题的渐近解证明了差分格式关于小参数的一致收敛性。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
The perturbation method was employed to get the control equation's approximate solution. The analytical expressions of beam's natural lateral vibration frequency and displacement were derived.
采用摄动法求得了其近似解，得到了载流梁在磁场中的横向固有振动频率及位移解析表达式。
A united solution procedure for eigenvalue perturbation problem in structural vibration analysis of continuous systems is proposed with the aid of operator operation.
将离散系统振动分析中的通用的矩阵摄动法推广到连续系统。 采用弹性结构理论算子，对连续系统的振动特征值摄动问题进行统一描述。
A class of ENSO perturbed model is studied. Using the perturbation theory and method, the asymptotic expansions of solution of corresponding problem are constructed.
研究了一类ENSO摄动模型。利用摄动理论和方法，构造了相应问题的渐近展开式。
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