条件方程

At first,with newdifferent conditions,we prove that the Duffing equation possesses at least one har-monic solution and infinitely many subharmonic solutions.

首先，在两组新的条件下证明了方程至少存在一个调和解和无限多个次调和解。

Since the deflections of the seven plates mentioned above satisfy the differential equation of plates, we can simply superpose the corresponding quantities and make them satisfy all the boundary conditions and supporting conditions.

2上述的七种板的挠度满足板的微分方程，因而只要把它们迭加，以满足边界及支承点的条件，即得其解。

We obtain a sufficient condition to ensure that the supremum of real parts of all characteristic roots is less than zero.

本章的第二部分讨论了非奇异中立型退化时滞方程特征根实部集合的上确界问题，得到了判断特征根实部集合上确界小于零的充分条件。

So called reservoir is physical or mathematical; for a physical system, the mathematical model is a system of partial differential equations with related initial and boundary value conditions, it can describe important physical process occurring in the system, for example, the process occurring in reservoir, which mainly concludes flow of fluids and transportation of mass, gravity、 viscosity、compressibility have effect to it; differential equations describing this process are obtained by combining Darcy law of every phase and its mass equilibrium in differential form.

这种模型是物理的或数学的；一个物理系统的数学模型，是偏微分方程组和适当的一组初、边值条件的总体，它能够描述在系统中发生的重要的物理过程，比如在油藏中发生的过程，主要是流体的流动和质量的转移，重力、粘滞力、压缩性等在流体流动过程中都是起作用的；描述这个过程的微分方程是由将各相达西定律和各该相的微分形式的物质守恒相结合而得到的。

If α had been determined,the dissociation and non-dissociation species photolysis rate constants could be calculated by the tangent equation of the power function.

任意解离度条件下的解离态和非解离态光解速率常数，可根据幂函数的切线方程来确定。

On the boundary of the mean surface of the conductor plate,the tangential component of E is coupled into the finite element equation by means of the differential of H.

借助于磁场强度H的微分，在薄导体板的均值面的边界上，电场强度E的切向分量被耦合进有限元方程，而电场强度E的法向为零的边界条件被强加。

Making use of the inverse surface equation of wave normals and the boundary condition about the continuity of electromagnetic field tangential component at the surface of crystal, expressions about wave normal and ray direction, wave normal and ray refractive indexes were obtained.

论文建立了以光线入射方向和晶体光轴方向为基准的入射坐标系，利用波法线反曲面方程和电磁场在晶体折射界面处切向分量连续性的边界条件，得到了晶体中波法线方向、射线方向、波法线折射率和射线折射率的表达式。

By applying theory of displacement mat rix the equations have to be salisfied by parameters of mechanism with a first o rdered osculation at three points of a given straight line tangential to curve o f connecting rod were derived, and at the same time enable the equations to sati sfy the condition of velocity's direction by way of se...

应用位移矩阵理论推导了连杆曲线与给定直线在三个点上一阶密切时机构参数应满足的方程，同时通过设定机构初始位置，使其能够满足速度方向条件。也给出了用该方法综合的几个机构实例和一个应用实例。

By means of the fractions of the equation of the non一ideal constrained motion of the particle along the plane curve on the tangential direction and normal direction,the motion speed expression of the particle under this condition is derived,the constrained counter force is further gained,thus some non一ideal constraint problems are solved from the given angle.

通过质点沿平面曲线的非理想约束运动方程在切线和法线方向上的分式，导出质点这一条件下的运动速度表示式，并进一步求出其约束反力，从一定角度解决一些非理想约束问

In the paper,we studied the identification of the parameter of telegraph equation Wtt+ a1Wt+ b1W =c21Wxxwith periodical boundary conditions.

文章研究了一维电报方程 Wtt+a1 Wt+b1 W =c21 Wxx 在周期边界条件下的参数识别问题。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。