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Variation laws of electron movement with emergence angle and microwave electromagnetic parameters are also derived. The emergence angle of electron has significant effect on the movement of electron, and there is an emergence angle in which the electron has the maximum trajectory length and impact energy, Impact energy will increase and return time will reduce as increasing the amplitude of electric field, and both parameter would oscillate with the phase of electric field, which can essentially explain that multipactoring electron number oscillates in twice the frequency with the increase of microwave frequency, electron trajectory will change from parabolic-like movement to complex oscillation.

研究发现：电子出射角度对其运动状态有显著影响，电子存在运动轨迹最大的某一出射角度，该角度下电子拥有最大的撞击能量；微波电场幅值的增加将使电子撞击能量增加，返回时间减小，微波电场相位的变化使电子的撞击能量和返回时间呈周期振荡，这从本质上解释了电子数量在二次电子倍增过程中以微波频率两倍周期振荡的原因；随着微波频率的增加电子将由简单的类抛物线运动转变为复杂的振荡运动。

An example of existence of antiperiodic solutions for 2m - order quasi-linear parabolic differential equation is presented.

最后，举例说明理论结果在2m阶拟线性抛物型方向的时间反周期问题中的应用。

We investigate mainly solving the hyperbolic and parabolic equations by using the MQ quasi-interpolation. The underlying idea of our means is that: employing the derivative of the MQ quasi-interpolation to approximate the spatial derivative of the PDE, while the approach of the temporal derivative of the PDE is used a finite difference.

我们主要就MQ拟插值在双曲型方程和抛物型方程中的应用进行了研究，其基本思路是：利用MQ拟插值的导数逼近微分方程的空间导数，而微分方程的时间导数则采用有限差分逼近。

Under some assumptions on the initial value, the asymptotic behavior of weak solutions for a fourth order degenerate parabolic equation with nonlinear relation is discussed.

在一些初值的假定下，讨论一个具有非线性关系的退化四阶抛物方程弱解的渐近行为。

In Chapter 1, two solutions to the elliptical boundary value problem have been constructed through a monotone iterative process, and they might be identical. In Chapter 2, the author expresses the local solution to the parabolic initial boundary value problem taking advantage of Green function. In Chapter 3, the asymptotic solution to the initial value problem of Duffing equation is obtained and the method for finding the approximate solution to the inverse problem is put forward.This paper is planned with a view to the author's research means.

从研究结果看：第一章通过单调迭代过程构造出椭圆型方程的边值问题的两个解，并且指出二者可能是同一个解；第二章利用格林函数给出了抛物型方程的初边值问题的局部解的解析表达式；第三章中，先对Duffing方程的初值问题写出解的渐近展开式，再对其反问题提出一种求近似解的方法。

In chapter 1, firstly, by using classical analysis methods, such as the introduction of Bessel function and semigroup theory, we transform the pseudo-parabolic equation into an abstract operator equation and achieve the existence and uniqueness of the local solution.

在第一章中，利用经典的分析方法，引入Bessel势函数，将伪抛物型方程转化为抽象算子方程，首先，利用算子半群理论，论证了局部解的存在唯一性。

The approximation of the parabolic integro-differential equations is studied with anisotropic biquadratic finite element.

摘要研究具有各向异性特征的双二次元对抛物积分微分方程进行了逼近。

Meanwhile, because the boundary of a Voronoi cell contains parabolic or hyperbolic curves in the Euclidean metric, it is difficult to compute the Voronoi cell area in practice.

同时，在欧氏米制中，由于Voronoi区的边界包含抛物线或双曲线，因而Voronoi区的面积很难被计算。

In this paper we will study the uniqueness of weak solutions of the first boundary value problem for a degenerate parabolic equation.

本文研究了一类具有退化性的抛物型偏微分方程的第一边值问题的弱解的唯一性。

This paper deals with certain kind of parabolic boundary value problem with equiv-alued sur...

本文主要是对一类具有薄层区域的抛物型方程等值面边界问题进行了探讨，并且研究了解的存在性、唯一性及其极限性态。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了