查询词典 equation of variation

The full-wave equation methods are adopted, namely the wave field is the solution of wave equation.

本文采用的是全波方程法模拟，即由方程的解中给出了全波场的值。

Many problems of dynamical systems can be reduced to an iterative functional equation or an iterative functional differential equation.

根据系统变化的规律可分为由微分方程描述的连续动力系统和由映射迭代揭示的离散动力系统。

In Chapter 1, concepts of iteration, dynamical system, iterative functional equation and iterative functional differential equation are introduced.

本文将研究几种类型的迭代函数方程和迭代泛函微分方程的光滑解和解析解的存在性、唯一性和稳定性。

In this thesis, we discuss several problems which exist to qualitative theory of the functional differential equation, within which we develop further two important theories, so-called the 3/2 - stability theory and the distribution of zeros of solutions of the functional differential equation.

本文中，我们对泛函微分方程定性研究中存在的若干理论问题进行探讨，对其中两个重要问题即3/2—稳定性理论和零点距估计问题，作了进一步推广。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively. Compared with some known results in the literature, the equations discussed by us are more general, and our results are concise and easy to be verified.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

The primary contents are as follows:(1) Based on the fundamental seepage physical equation, the basic differential equation of saturated-unsaturated seepage in porous mediums has been deduced, in which the pressure head is the fundamental unknown quantity.

总体说来，本文主要从以下几个方面开展了研究：(1)由基本渗流物理方程出发，以压力水头为基本未知量推导多孔介质三维饱和—非饱和渗流微分方程，在此基础上分析了边坡在有降雨入渗条件下渗流的定解条件和计算模型。

Firstly, Hallen integral equation was performed to analyze the antenna. Then, the Equivalent Theory was used to build the electric field integral equation, the EFIE was translated into matrix equations by Galerkin method, and the scattering field can be calculated by the surface currents of the metal target. Finally, numerical calculation to representative scatters was conducted.

首先推导了有耗媒质中圆柱对称天线的海伦积分方程；然后利用等效原理建立导体表面的电流积分方程，并采用伽略金方法将积分方程组转化为矩阵方程组，求解出散射体表面的等效电流分布，计算出其散射场；最后以典型散射体为例，进行了仿真计算分析。

In order to investigate the existence conditions of the robust optimal state feedback of uncertain system, we have to study the problem of GARE, that is the solution existence of the following equation PA+A'P+Q-PMP=0, Q=Q', M=M' In chapter 2, using some preliminary results and properties of the Riccati differential equation, we have established the sufficient conditions for the GARE problem.

在讨论不确定性系统LQL方法的状态反馈解的存在性条件时，引出了第二章讨论一般代数Riccati方程解的存在性问题，对一般Riccati方程 PA+A'P+Q-PMP=0，Q=Q'，M=M'第二章中先列举讨论了Q、M为正、负定各种情况下的实对称解的存在条件，然后着重研究了M、Q不定的情形。

Gauss- Seidel iteration method is to function in the calculation of the first equation obtained after the first argument, it updates the independent variables into the second equation.

详细说明：高斯-赛德尔迭代计算方法是在计算第一个方程函数得到第一个自变量后，吧自变量更新进入第二个方程计算。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。