提出未扰动系统出现多重周期解的条件，并给出了一些特殊方程零解的具体重数作为应用；
First, some conditions for the existence of a multiple periodic solutions are given and the multiplicity problem for zero solution of some concrete equations is investigated as applications.
所以你们主要有，一个粒子的波动方程，我们的目的是考虑一个特殊的粒子，我们感兴趣的是电子。
So you're basically having a wave equation for a particle, and for our purposes we're talking about a very particular particle. What we're interested in is the electron.
根据特殊的地质和水动力学特征，对常规物质平衡方程进行了改进。
Based on the special geologic and hydrodynamic features, the conventional material balance equation is modified.
由于该算法对方程的个数和变量的个数没有什么特殊的要求，因此可以处理欠约束问题。
Because this algorithm hasn't special need to the number of the equations and the variables, we can deal with under-constraint problem.
最后给出几种特殊的人口方程的稳态解的适定性。
At last, we give the well-posed of some special population equations.
可分离变量的一阶微分方程是一类特殊的一阶微分方程，它在实际中有着广泛的用途。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
本文给出了解决二种特殊类型的欧拉非齐方程的比较系数法，使这类问题变得简单，并提供了许多方便。
This paper puts forward the comparative coefficient way in solving two special type of Euler equations, which can make it more simple and convenient to use.
给出了三维流场计算的模型方程，对倾斜壁面及入口的边界条件作了特殊处理。
Model equations for three dimensional calculation are given. Special treatment of boundary conditions at the entrance and the inclined wall is carried out.
表面惯性重力波和惯性重力内波的相速公式都是这个更普遍的频率方程的特殊情况。
The well-known phase speed formulas of surface inertial gravity wave and internal shear inertial gravity wave are the special cases of this frequency equation.
本文利用张量分析工具，对任意流面上的位势流，建立速度图方程，为解决一些特殊流动问题，提供一个分析方法。
For potential flows on any stream surface, the equation of the velocity graph is set up by tensor analysis, and thus it provides an analytic method for solving some special flow problems.
采用一般卡车通用动力学分析程序，只需补充描述原木拖车特殊设计特征的约束方程，上述算法即可实现。
To implement the constraint equations for the special design feature in log hauling trucks, a procedure is developed allowing the use of the code for general-purpose dynamic analysis of the trucks.
上述过程可称之为分析技术自动化，可以通过分析逻辑方程的解集中的特殊形式的解来达到。
The above-mentioned process is called analytic technique automation and can be achieved through analysis of the special solution subset in the solution sets of the logical equation.
为使速度散度保持为零，在泊松方程中给速度散度一个特殊的处理。
In order to keep the divergence of velocity being zero, a special treatment of divergence term in Poisson equation is proposed.
本文推导出计算机绘图中的二次B一样条曲线的参数方程，介绍二次B一样条曲线的性质，并给出在逼近曲线时的特殊处理方法。
This paper infers the parametric equation of the quadric B-spline curve, introduces its character, and gives the special method of process when the curve is approximated.
凝析气藏是一种特殊的油气藏类型，其物质平衡方程序与常规气藏物质平衡方程序应存在较大的差异。
Condensate gas reservoir is a special kind of reservoir and its material balance equation is greatly different from that of conventional gas reservoir.
对一类特殊的非线性反应扩散方程进行完全离散，得到非线性的有限差分格式。
In the article, the fully discrete finite difference scheme for a special nonlinear reaction-diffusion equation is established.
根据此模型，应用带有特殊内热源项的一维能量守恒方程求解了温度场。
Based on this model, the one-dimensional energy conservation equation with a special term of inner heat source is applied to solve the temperature profile.
研究一类特殊比例方程的稳定性。
The stability of a special kind of pantograph equation was studied.
对于坑(井)—地的特殊情况，利用有限差分和积分方程法进行了正演模拟计算，获得了数据。
For the pit (well) -ground special circumstances, Using the finite difference and integral equation method forward modeling Observation data.
为了突出主干和分支网络的特殊性，提出了节理单元模型并专门推导了节理单元的连续性方程。
A joint element is presented to represent the trunk and branch networks and used to derive the continuity equation for these two network systems.
运用取特殊检验函数的方法，建立了渗流方程第一边值问题解的守恒律。
By using the special test function, we discuss the establishing of conservation law of the first boundary value problem of infiltration.
将此N S方程看作一个特殊的扩散方程，将压力项与对流项看作是源项，得到一个积分方程。
The integral N-S equation is regarded as a special diffusion equation and the pressure term, convective term are regarded as source terms.
导出了非均匀等离子体中线性波的色散方程，并在一些特殊情况下进行了讨论。
The general dispersion relation of the linear waves and its reduced form in certain particular eases are obtained.
表明了在电路功率问题上，路的关系式也可以从场方程式导出，路的关系式是场方程式的特殊情形。
Refering the electrocircuit power, the electrocircuit formula can be derived from the electromagnetic field equation, and it's a special case of the latter.
介绍了延迟微分方程延迟项求解的必要性、在控制领域的特殊意义及当前求解方法存在的不足。
The necessity of solving delay item of delay-differential equations, the special significance of delay-differential equations and the deficiency of the existing approach are introduced.
由于非饱和流动的数学模型归结为非线性的偏微分方程，除了一些很特殊的情况外，很难得到解析解。
It is very difficult to get analytic solution except some very specific cases for the model owing to nonlinear partial differential equation.
作为一个特殊情况，还给出了无穷小热粘弹性断裂力学的基本方程组。
Asa special case, the governing equations for infinitesimal thermoviscoelastic fracture mechanics are given.
对于一些特殊情况，给出了相应的简化方程。
The simplified equations are also given for some commonly encountered cases.
随后针对冷却塔这个特殊结构，把微分方程进行了简化，并且采用幂级数解法解答出自振微分方程。
Then this paper simplified the differential eguation contraposing the cooling tower which is a special structure, and adopted the power series method to solve the differential eguation.
对流一扩散方程中扩散系数反演问题，可以归结为一个特殊的非线性算子方程求解问题。
The problem of determining the diffusive coefficients can be formulated as one of solving a special nonlinear operator equation.
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