讨论了一类非线性奇摄动方程的激波问题。
The shock problems for a class of the nonlinear singularly perturbed equations is considered.
并讨论了用这种方法求解摄动方程的优越性。
The advantage of this method in solving the perturbation equation is also discussed.
具有转向点的奇摄动方程的求解是一个较难处理的问题。
Solving singularly perturbed equation with turning point is a difficult problem.
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。
The transition matrix analytic solution of perturbation equations which was widely used in inertial guidance engineering are derived.
利用奇摄动理论和匹配原理，讨论了一类非线性奇摄动方程的激波问题。
Using the singularly perturbed theory and the matching principle, the shock problems for a class of the nonlinear singularly perturbed equations are considered.
借助随机有限元方法和摄动方程初步分析了钻压波动对井眼轨迹的影响。
The effects of WOB fluctuation of drill string on the wellbore trajectory are analyzed by using stochastic finite element method and perturbation equation.
鸭解是近年来在奇异摄动方程的研究中发现并开始研究的。它是一种新的分支现象。
Duck solutions, a new kind of bifurcation phenomenon, are discovered and studied during the study of singular perturbation equations in the recent decades.
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。
The solution of perturbation pressure is used to calculate air bearing's stiffness and damping coefficients.
基于高斯摄动方程，推导了卫星在同时考虑J2和大气摄动情况下的轨道根数变化方程。
The variation equation of the satellite orbit elements under both J2 and drag perturbations was derived based on the Gauss perturbation equation.
研究了一类非线性奇摄动方程的激波问题。利用间接匹配法，构造出激波在区间内的激波解。
The shock wave problems for a class of the nonlinear singularly perturbed equations is studied. Using indirect matching method, the shock solutions of shock wave in an interval are constructed.
首先，利用奇异摄动理论对再入飞行器状态变量进行两个时间尺度的划分，将系统状态方程分解成两个低维子系统。
Firstly, the state variables of the reentry vehicle are decomposed into two sub-systems of different time scales using the singular perturbation theory.
之后，借鉴牛顿法、平衡法和摄动法对由移动最小二乘法得到的非线性代数方程组提出了新的求解方法。
And then an new iterative method is presented to solve the nonlinear equations system obtained from moving least-square approximation.
本文讨论了具有转向点的奇摄动椭圆型方程边值问题。
The singularly perturbed elliptic equation boundary value problem with turning point is considered.
研究了具有摄动边界的非线性反应扩散方程的问题。
A nonlinear problem for reaction diffusion equation with a perturbed boundary is considered.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
讨论了一类具有转向点曲线的奇摄动反应扩散方程初始边值问题。
A class of singularly perturbed reaction diffusion equation initial boundary value problem with a curve of turning point is discussed.
本文建立了分析粘弹流体平面流的基本方程，并采用摄动法和加权余量法。
Fundamental equations for the analysis of plane flow of elastic-viscous fluid are established.
本文对双曲-抛物偏微分方程奇异摄动问题构造了一个指数型拟合差分格式。
In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation.
讨论了一类超抛物型方程的非线性奇摄动问题。
A class of nonlinear singularly perturbed problem with ultra parabolic equation are considered.
本文一篇综述类文章，综述了同伦摄动方法及它在非线性微积分方程中的某些应用。
The paper reviews Some applications of the homotopy perturbation method to nonlinear differential and integral equations.
研究了具有非线性反应扩散方程奇摄动内层问题。
The nonlinear singularly perturbed interior layer problems of the reaction diffusion equations were considered.
将摄动硬球三参数状态方程应用于二元高压液液相平衡计算。
The perturbed hard-sphere three-parameter equation of state is applied to binary high pressure liquid-liquid equilibria.
建立了射孔段套管弹性抗挤性能分析控制一般方程，并采用摄动理论给出了的孔段套管弹性抗挤能力降低系数一般计算公式。
This paper gives the elastic differential equation of collapse of perforated casing, and a general formula for reduction factor of elastic collapsing by perturbation method.
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。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of differential equations.
利用边界层函数法研究了一类非线性三阶微分方程的奇摄动边值问题。
Use the method of boundary layer functions to study the singularly perturbed boundary value problem for a kind of third order nonlinear differential equations.
研究了间断非线性常微分方程奇摄动泛函边值问题。
The singularly perturbed functional boundary value problems for the discontinuous nonlinear ordinary di? Erential equations are considered.
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 this paper, the parabolic equation with boundary perturbation is considered. Using discussion of the solvability, the perturbed solution of original problem is obtained.
利用变换和摄动法将非线性位移方程线性化，得到了近似边值问题。
By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained.
利用变换和摄动法将非线性位移方程线性化，得到了近似边值问题。
By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained.
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