查询词典 consistent equations

Duffing equations and Liénard equations are two classical mathematical models in nonlinear oscillations, and have been studied ex...

Duffing方程和Liénard方程是非线性振动中的两类经典的方程，也是人们研究的最多、结果非常丰富的方程。

Duffing equations and Liénard equations are two classical mathematical models in nonlinear oscillations, and have been studied extensively.

Duffing方程和Liénard方程是非线性振动中的两类经典的方程，也是人们研究的最多、结果非常丰富的方程。

In this paper, we deal with the existence of periodic solutions of sublinear Liénard differential equations and Duffing differential equations with singularity.

本文研究次线性Liénard方程和具有奇异性Duffing方程周期解的存在性。

The equations of dynamics for the balance are established by Kane's method, from which derives the characteristic equation of natural frequency by means of linearization of dynamic equations, and the six natural frequencies being developed according to the theory of vibration. The law of the six natural frequencies varying with mass of the upper platform and the stiffness of the elastic element are presented,and the Finite Element Method is employed to testify the validity of theoretical results.

基于 Kane 方法研究天平的动力学及模态，通过线性化动力学方程建立天平的固有频率方程，依据振动理论推导出并联天平的六阶固有频率及其对应的振型，同时研究了天平的六阶固有频率随敏感单元刚度系数及上平台质量的变化规律，并用有限元法验证理论计算结果的正确性。

The first kind is 0-equation model. It only includes mass and momentum conservation equations. Great progresses have been made in improving this model. It has successfully been applied to many natural rivers with complicated boundary geometry. The second kind is κ-ε model. The κ equation and ε equation are needed, besides mass and momentum conservation equations. Many researchers have studied the depth-averaged mathematical models of turbulence in recent years. However, the models were used mostly in regular artificial canals or natural water areas with simple boundaries.

对于宽浅型河流，采用深度平均法进行流场计算时，用得较多的有两类模型：一类是不增加任何脉动量的偏微分方程的模型，这类模型已在适体坐标下运用得较多且较成功；另一类是κ-ε二方程模型，它是近几十年来广泛应用的一类湍流模型，并发展了许多具体的形式，但大多数只对顺直河道进行了研究，对弯曲较大的河道研究不多，本文运用适体坐标，采用正交交错网格及非正交交错网格，把此模型运用到了弯曲较大的河段及具有汇流的河段，取得了较大的成功。

Aim at the shortage of vertically additive method by which we can't discuss forced oscillations of systems of partial functional differential equations,we directly use the oscillatory definition,Green's formula and boundary condition of homogeneous Neumann to change the oscillatory problem of solutions to a class of systems of quasilinear parabolic equations of neutral type into the problem of which functional differential inequality haven't eventually positive solution.

针对垂直相加法无法讨论泛函偏微分方程组的强迫振动性的不足，直接利用振动的定义、Green公式以及齐次Neumann边界条件把中立型抛物微分方程组的振动问题转化为泛函微分不等式不存在最终正解的问题，然后利用最终正解的定义及上下极限得到了在齐次Neumann边界条件下判别其所有解振动或全振动的充分条件。

The difference equations and the perfectly matched layer absorbing boundary condition equations in the non-inertial frame are given.

将时域有限差分方法用于非惯性坐标系下光子晶体理论研究，给出了非惯性坐标系下的差分方程和理想匹配层边界条件。

Presents again a new formulation of Lagrange s equations by using an augmented Lagrangian function with the second order non linear nonholonomic constraint equations.

以Dirac方程为依据，求出了在电磁场作用下，质量为m ，自旋为 1 /2的荷电粒子在场中运动时的能量本征值及其拉氏函数密度的明显表示式，并对其微观物理机制作出了较为明晰的解

Presents a new formulation of Lagrange s equations by using an augmented Lagrangian function with the first order non linear nonholonomic constraint equations, and offers a unified variational approach to both holonomic and nonholonomic constraints.

采用带有二阶非线性非完整约束方程的扩张性拉氏函数，建立起了拉格朗日方程的又一新公式，该新公式较为规则，它提供了一种完整约束系统和非完整约束系统两者统一的变分方法。

And control problems such as optimal import rate control, optimal harvesting control, optimal birth control are investigated. By means of nonlinear functional analysis, differential equations, integral equations, and modern control theory, a number of research results are obtained, which are theoretically valuable and provide a solid ground for the practical use of our models.

本文系统讨论了几类年龄依赖的单种群和多种群动力系统，综合应用非线性泛函分析、微分方程、积分方程以及分布参数系统控制论等理论与方法，深入地研究了这些系统的解的存在性、唯一性以及非负有界性；研究了这些种群动力系统的最优输入率、收获率和出生率控制问题，获得了一批重要的理论成果。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。