查询词典 condition equation

Existence results are shown for a class of beam equation under the resonance condition.

在共振条件下，对一类梁方程解的存在性给出证

First, based on the analysis of the grid Reynold number, the necessity for adopting high order scheme is emphasized when there is the complex flows with strong separation and high parameters gradient regions. Then, according to the entropy increased condition, the third order ENN scheme is constructed. Meanwhile, a fast, effective, and simple implicit numerical method called hybrid flux splitting method is developed. After that, the one dimensional model problem with many extrema and Burgers equation are simulated. Through the comparisons with exact solutions, the accuracy and effectiveness of the ENN scheme are confirmed.

首先通过对网格雷诺数的分析，论证了在求解含分离及较大参数梯度的流动时，采用高阶格式的必要性，然后从熵增原理出发，提出了建立三阶ENN格式的准则，同时发展并建立了一种快速、有效的简单隐式算法"混合通量分裂法"，通过对一维模型问题及Burgers方程的数值试验，检验了三阶格式的计算精度。

A new sufficient condition of passive control for the systems is given by using the methods of Riccati equation, Lyapunov stable theory and matrix theory.

利用Riccati方程的方法，Lyapunov稳定理论和矩阵理论，给出了一类具有饱和输入的线性系统可无源控制的一个新的充分条件、利用Riccati方程的解，提出了该系统的一种无源控制器的设计方法。

On the existence of memoryless full state feedback controllers, we present a sufficient condition and give a design method in the form of Riccati equation.

关于全状态无记忆反馈控制器的存在性，给出了Riccati方程型的充分条件和设计方法。

By analyzing the distribution of the roots of the characteristic equation according to Rouche theorem, the stability condition of this dynamical system is investigated and Hopf bifurcations are demonstrated. The bifurcation graph can be obtained and some simulation examples are shown.

利用儒歇定理及其推论分析了该动力系统特征方程根的分布情况，进而得到该系统解析解稳定和Hopf分支存在的条件，画出了分支图，给出相应的数值例子。

Under the condition of uniform flow velocity,the differential equation for the settling distance of a sandbag is also built. It c...

建立了沙袋落距的微分方程，推导了均匀流速分布下沙袋落距的表达式，此公式可以简化为与现有公式一致的形式，通过实测资料，确定了公式中的系数。

According to the reasonable boundary condition and simplified equation,adpotes thedynamic pressure supporting method of combined vane with rotatable supporting part to solve thepresent key difficulties which result from the serious rub of highly rotating single-action vane pumps tator internal surface.

根据粘性流体润滑理论的雷诺方程，探讨了采用可摆动支承面的组合式叶片的动压支承方法，解决高速旋转单作用式叶片泵定子内表面摩擦严重的问题，为与原动机同轴同步高速旋转叶片泵机件的研制提供了一种新的设计方法。

In Chapter two, it is given of the three-dimensional boundary element and the boundary element space, Sobolev space for the contact boundary element problem with friction; it is proved of existence and uniqueness of the solution by variation inequality for the contact Boundary Element Method matrix equation under two kinds of condition that the contact zone is fixed and the contact zone is increasing along with the load; it is given of the expressionfor the error of the exact solution and the boundary element solution.

第2章，给出三维边界单元及边界元空间、有摩擦接触边界元问题的Sobolev空间，利用变分不等式证明了不变接触区和随载荷可变接触区两种情况下的接触边界元法矩阵方程解的存在唯一性，给出了准确解与边界元解的误差表达式，还证明了三维弹塑性摩擦接触问题凝缩矩阵解的存在唯一性，为三维弹塑性摩擦接触边界元法奠定数学基础。

Based on the limitation and tightness of computational time, it is concluded that the neighborhood of the equation solution is solvable under the condition of open solvable set.

研究了用差分法求解自治的发展方程时稳定性和收敛性这两个基本概念之间的联系，利用计算时间的有限性和紧致性，在可解集为开集的条件下，得出方程解的邻近也可解的结论。

If the neighborhood of equation solution is solvable and meets the point- by-point Lipschitz condition, stable boundary could be obtained as the convergence of the difference method is realized, and thus the stability is ensured.

方程解的邻近如果可解并具备逐点Lipschitz条件，则差分法收敛必有稳定界存在，从而差分格式收敛性保证其稳定性，因此可以放弃线性这一重要条件。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。