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常微分
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  ordinary differential
     THEORY OF REGIONAL ANALYSIS OF ORDINARY DIFFERENTIAL EQUATIONS(Ⅰ)
     常微分方程的區域分析理論(Ⅰ)
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     THEORY OF REGIONAL ANALYSIS OF ORDINARY DIFFERENTIAL EQUATIONS(Ⅱ)
     常微分方程的區域分析理論(Ⅱ)
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     THEORY OF REGIONAL ANALYSIS OF ORDINARY DIFFERENTIAL EQUATIONS(Ⅲ)
     常微分方程的區域分析理論(Ⅲ)
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     THE ORDINARY DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT MEMBER AND THE DISCONTINUOUS SOLUTIONS OF THE QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS
     具间断右端的常微分方程与一阶准线性双曲型偏微分方程的间断解
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     COMPARISION THEOREM OF ORDINARY DIFFERENTIAL EQUATIONS AND ITS APPLICATION
     常微分方程的比较定理及其应用
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  constant differential
     This paper discusses the problem of integral factor about the first order constant differential equation: (M(x,y)dx+N(x,y)dy)=0, gives a sufficient and necessary condition of integral factor such as μ(ax~α+bx~sy~l+cy~β) for first order ordinary differential equation, and makes an extension form the conclusion of related reference.
     讨论了一阶常微分方程M(x,y)dx+N(x,y)dy=0 的积分因子问题,给出了一阶常微分方程有形如μ(axα+bxsyl+cyβ)的积分因子的一个充分必要条件.
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     Formulae of General Solutions to Some Kinds of Clairaut Constant Differential Equations
     几类 CLAIRAUT 型常微分方程的通解公式
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     About the Practice of How to Give Prominence to Mathematics Thinking Education in the Constant Differential Eouation Teaching
     关于常微分方程教学突出数学思想教育的实践
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     Finite Element Methods on the Boundary Problem of Constant Differential Equations
     求常微分方程边值问题的有限元法
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     Constant Coefficient Linearization of Hyper-Stage Coefficient Nonlinear Constant Differential
     高阶变系数非线性常微分方程组的常系数线性化
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  normal differential
     The Method to Solve Normal Differential Equations by FFT
     常微分方程数值求解的FFT方法
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     The 3D SEM BPM reduces the basic BPM equation to the first order normal differential equation system. Consequently,the computational program is simple.
     另外 ,3D SEM BPM最终将BPM基本方程归结为一阶常微分方程组 ,方法简单 ;
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     Three dimensional beam propagation method based on the series expansion method(3D SEM BPM) transform the BPM into the first order normal differential equations. The method has the merits of simple calculation and high calculation efficiency.
     三维级数展开的光束传播法 (3D SEM BPM )将BPM方程转化为一阶常微分方程组 ,具有计算方法简单和计算效率高的优点。
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     The mathematical model about the various structures room is synthesized together , on this foundation,the instantaneous energy of the room was balanced,and the normal differential coefficient –partial differential coefficient equation model about the temperature response to the room with walls built with composite material was built,and finds the solution to mathematical method of this model.
     在此基础上,将构成房间的各种围护结构的数学模型综合在一起,对房间进行瞬时能量平衡,建立起复合材料墙体的室内温度响应的常微分-偏微分方程组模型,并找出求解这一模型的数值方法。
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     In this paper,in order to discuss the sustainable exploitation problem of forest resource on the premise of providing ecological production to the society, the dynamic economic model of sustainable exploitation of forest resource is built up on the basis of the maximal sustainable utilization principle for the exploitation and utilization of ordinary biology resources,and the optimal resource retainable yield and optimal exploitation strategy are calculated by the mathematical methods such as normal differential function,variational method,maximum principles and so on.
     该文探讨在保证为社会提供生态产品的前提下实现森林资源的可持续采伐问题,从生物资源最大持续利用原理出发,建立森林资源可持续采伐的动态经济模型,利用常微分方程、变分法、最大值原理等数学方法求解得到最优资源存量水平和最优采伐策略.
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  “常微分”译为未确定词的双语例句
     Research on Obrechkoff Numerical Methods for Oscillatory and Stiff Differential Equations
     Obrechkoff方法在求解常微分方程振荡、刚性问题中的应用研究
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     Numerical solution of ordinary and partial differential equations
     常微分方程和偏微分方程的数值解
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     A NEW CLASS OF SINGULAR PERTURBATIONS OF BOUNDARY VALUE PROBLEMS FOR ORDINARY DEFFERENTIAL EQUATIONS(Ⅰ)THE CASE OF A SINGLE EQUATION
     一类常微分方程边值问题的奇摄动—(Ⅰ)方程式的情形
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     A CLASS OF SINGULAR PERTURBATIONS OF BOUNDARY VALUE PROBLEMS FOR ORDINARY DEFFERENTIAL EQUATIONS ON INFINITE INTERVAL
     一类常微分方程无穷边值问题的奇摄动
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     On Periodic Solutions of Several Classes of Riccati's Equation and Second-Order Differential Equations
     关于几类Riccati方程和二阶常微分方程的周期解
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  ordinary differential
The method converts the frame problem into a set of ordinary differential equations using concepts from classical mechanics and orthogonal group techniques.
      
On the existence of periodic solutions for the third-order nonlinear ordinary differential equations
      
In this paper, the existence of periodic solution for the third-order nonlinear ordinary differential equation of the form {} is considered, where f, g, h and p are the continuous functions, and p(t+T)=p(t).
      
Uniqueness of positive solutions of a class of quasilinear ordinary differential equations
      
Uniqueness results are obtained for positive solutions of a class of quasilinear ordinary differential equations.
      
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  constant differential
The voltage-current characteristics of a superconducting contact of submicrometer size between two monocrystalline filaments (of Sn, In, and Zn) show linear portions with discrete values of constant differential resistance.
      
PCD systems are dynamical systems defined by a piecewise constant differential equation and can be considered as computational machines working on a continuous space with a continuous time.
      
The results of angular distributions are presented in the form of contours of constant differential cross sections as well as in the form of differential cross section surfaces in three-dimensional plots.
      
Finally, we show that morphological operators used in image processing are particular cases of operators induced by constant differential inclusion.
      
At voltages Vdc 4 meV a constant differential resistance is found.
      
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  normal differential
It is shown that the stream function and temperature are uniformly convergent series, the terms of which satisfy an infinite system of normal differential equations.
      
Transformations between two normal differential equations.
      
The hydronephrotic kidney usually has nearly normal differential renal function at birth, has not been subjected to progressive dilation and except for pelvocaliectasis does not often show signs of high-grade obstruction.
      
An infant with an asymptomatic unilateral hydronephrosis of any grade, without urinary infection and stable washout, and stable normal differential function on serial controls can be managed conservatively.
      
Initial hematocrit was 25.7%; white blood cell count 14,000 cu/mm with a normal differential; platelet count 532,000 cu/mm.
      
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本文考虑断面具有不等主惯性矩的转轴,在临界转速的空间横向振动中的反进动情形,和非线性的因素——非线性性、惯性、阻尼等,并且计算了共振时的振幅。一般对于作空间横向振动的转轴,得到两个变系数的偏微分方程,因本文只考虑反进动情形,因而应用相对运动的概念,选择随轴一起作进动的动坐标系,对于两端铰支轴的第一主振动,得两阶变系数常微分方程,从而易于得解。解微分方程时,本文考虑了参变共振的三个情形。1)主共振无阻尼情形;2)主共振有阻尼情形;3)第二共振无阻尼情形。对每一情形得出振幅表示式,作出了相应的共振曲线。对于主共振无阻尼情形,分析了解的稳定性,指出共振曲线中相应于稳定和不稳定解的分枝.

A theoretical analysis of the laminar flow in the annular space bounded by two concentric tubes with small injection and suction through the porous walls is presented in this paper. By using a similarity transformation, the Navier-Stobes equations in the cylindrical co-ordinates for the steady incompressible flow are reduced to an ordinary non-linear differential equation of the third order. With appropriate boundary conditions, this equation is solved by the method of small perturbation. The results show that...

A theoretical analysis of the laminar flow in the annular space bounded by two concentric tubes with small injection and suction through the porous walls is presented in this paper. By using a similarity transformation, the Navier-Stobes equations in the cylindrical co-ordinates for the steady incompressible flow are reduced to an ordinary non-linear differential equation of the third order. With appropriate boundary conditions, this equation is solved by the method of small perturbation. The results show that the velocity of injection or suction and the two radii of the annulus affect considerably the velocity profile, the pressure drop in the flow direction and the friction coefficients at the walls. When the suction is applied only at the inner tube the position of the maximum velocity moves inward. The friction at the inner wall consequently increases and that at the outer wall decreases. It is also found that in the case considered the suction reduces the pressure drop in the flow direction.

本文对具有微量吸吮或吹注的二同轴心圆管间的层流流动问题进行了理论分析。利用相似转换,将不可压缩流体,定常运动,柱坐标形式的纳非尔-斯托克司方程组简化为一三次非线性常微分方程,运用小参数法及适当边界条件求出此方程的解,结果表明,吸吮或吹注对流动的速度分布,沿流程压力下降和摩擦系数均有显著影响,其影响的大小,依赖于吸吮或吹注的性质,程度及二圆管的相对尺度。当内管壁具有吸吮而外管壁的吸吮为零时,最大速度的位置将向内移,随之,内管壁的摩擦系数值增加,而外管壁的摩擦系数值减小,同时,产生较小的沿流程压力下降。

This method of the transportation along a cable is found by laborers of our nation when transport soil during their participating in hydraulic engineering constructions of large type. The method is to rack up two cables along the slope of a hill parallel each other, Between the cables a fixed pulley is hanged. A string surround the pulley. Two boxes C and D, prepared for containing the soil, is tied up at each end of the string When the box, say C, full of soil, slides down along the cable from above by gravity,...

This method of the transportation along a cable is found by laborers of our nation when transport soil during their participating in hydraulic engineering constructions of large type. The method is to rack up two cables along the slope of a hill parallel each other, Between the cables a fixed pulley is hanged. A string surround the pulley. Two boxes C and D, prepared for containing the soil, is tied up at each end of the string When the box, say C, full of soil, slides down along the cable from above by gravity, the vacant box D must then ascend up along the other cable simultaneously. Doing thus again and again, the soil is then transported to the bottom of the hill quickly. The distribution of tensions in the perfectly flexible cable, to be encircled tightly on the rough column, has been stated in some texts of mechanics. In this article, considering the mass of the string and the boxes, and the friction between the string and the pulley, and under the condition of inextensibility of the string, we have established a closing system of the non-linear ordinary differential equations which determines the motion of the boxes, and established also the formula for the distribution of tensions in the string in the state of motion.

高线运輸为我国劳动人民在大型水利工程建設过程中所发明的运土的法子,其法为在一傾斜的山坡上架起平行二高线,二高綫中間裝一定滑輪,定滑輸上套上一繩子,繩子兩端系上甲乙二盛土箱,由于重力的作用,当盛滿土的箱子甲沿高綫滑下时,空箱乙必沿另一高綫上升,如此周而复始,虛土即迅速运至山下。紧張地纏在一粗糙柱上的不可伸長的柔繩中的張力分布問題在許多力学教程中多有記載。本文顧及繩子及盛土箱的質量、繩子与滑輪間的摩擦力并假定繩子不可伸長的条件下,建立了决定盛土箱运动的封閉性非綫性常微分方程組,以及在运动狀态下繩子中張力分布的公式。

 
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