查询词典 consistent equations

Main contents are as follows :In chapter one, we give a survey to the development and current state of the oscillation of differential equations and difference equations. We also introduce some preliminary material , including some basic concepts of the oscillation theory and some important fixed point theorems.In chapter two, we investigate the oscillation of second order self-conjugate differential equation with impulses.

本文由五章组成，主要内容如下：第一章概述了微分方程及差分方程的应用背景和国内、外研究状况，这一章也包括一些预备知识，如有关微分方程、差分方程理论的基本概念和重要的不动点定理。

In this paper the equations of the stability and shear, flexural vibration of the straight bars with varying cross-section and the equations of motion of one degree of freedom systems with varying parameters are written as a unified self-adjoint differential equation of the second order eq.

本文将变截面杆的稳定与剪切、弯曲振动方程，以及具有变参数的单自由度体系的振动方程等均化为统一的二阶自共轭微分方程：并对，且的情形，将二阶自共轭方程化为贝塞尔方程。

After deriving the equations of reflectance spectrum of compressional and shear waves for thin beds at an arbitrary incidence angle , the equations of reflectance spectrum of compressional wave for a thin bed are reduced at zero incidence angle .

该文在推导出任意入射角入射条件下的多个薄层纵、横波反射系数谱理论基础上，进一步简化出了单个薄层垂直入射时的纵波反射系数谱计算公式，从而获得了在薄层条件下不同频率成分的纵波反射系数谱数学关系式。

Vector equations is one of non-linearity equations, and we can solve it by inherit arithmetic or homotopy arithmetic.

矢量方程组属于非线性方程组，可以采用遗传算法或同伦算法进行求解。

The theory is based on the complex hydromagnetic equations of nebula ,which are simplified approximately to the equations of velocity.

把星云的复杂的磁流体动力学方程，近似简化为只与速度相关的方程，则得到一个可解的简单模型。

Mechanical models and differential equations of motion for high speed pantographs;2. By the principle, differential equations of motion for variable-mass nonholonomic systems constrained to the fixed axis rotation are obtained.

建立了变质量力学系统在定轴转动参考系中的Jourdain原理，由此得到了受定轴转动约束的变质量力学系统运动微分方程，给出了准坐标形式，最后举例说明方程的应用。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先，通过方位角的Fourier变换，将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组，基于径向Hankel变换，建立问题的状态方程，求解状态方程后得到传递矩阵；其次，利用传递矩阵，结合层状饱和地基的边界条件、排水条件及层间接触和连续条件，给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解；然后，按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程，并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程，并给出了算例。

The ones, including conservation of mass, conservation of energy, Newtonian equations of motion, conservation of electric charge, linear momentum principle, continuity equation and Maxwell equations for electromagnet etc., are suitable to all substances. They are universal laws in nature.

非线性连续介质力学的基本方程可分为两类：一类适用于所有物体，构成了自然界的普适规律，如质量守恒、能量守恒、电荷守恒，牛顿运动方程，马克斯威尔电磁学方程、熵产率恒正原理等。

Two new eigenvalue problems and corresponding soliton hierarchies are derived, in which two typical equations are the generalized coupled Korteweg-de Vries and the generalized equations.

我们着重对两个新的保谱问题导出与之相联系的两族新的孤子方程，其中典型的是新的广义耦合KdV方程和新的广义TD方程。

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.

本文引入三个位移函数，将球面各向同性弹性力学运动方程，简化为关于ψ的二阶偏微分方程，和关于W和G的联立方程。在静力学问题中，联立方程可进一步简化，w和G可用另一位移函数F表示，而F满足一个四阶偏微分方程。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。