充分条件

The sufficient condition for the inexistence of limit cycle is found using the method of Dulac function.

运用Dulac函数法，得到了系统不存在极限环的充分条件。

Firstly, we give the geometric interpretation of the scheme.Secondly, we use the method developed in Dyn's original four-point paper to discuss the sufficient conditions for the limit curve to be C0,C1,C2 respectively.

首先给出了算法的几何意义，然后我们用Dyn在1987年发表的四点法中使用的办法，详细讨论了极限曲线连续，一阶连续，二阶连续的充分条件。

In theory,this paper gives a sufficient condition about effectivity of this algorithm.

并从理论上给出了算法有效的一个充分条件。

The model in this paper takes the form as belowThe main contents and results in this paper are as follows:In section 1, we state our main analytical results on equilibria of the above system. First, several sufficient conditions for coexistence of the steady-state are given by the standard fixed-point index theory in cone. Second, the global structure of the coexistence solutions and their local stability are established by using bifurcation theory. Third, the multiplicity, uniqueness and stability of positive steady-state solutions to this system are derived by means of perturbation theory of eigenvalues, standard regularity theory, Sobolev embedding theorem and fixed-point index theory.

本文主要有两章内容：第一章研究了该模型正平衡解的性质，可分为三部分：第一部分运用极值原理、上下解方法和锥映射不动点指标理论得到正平衡解存在的充分条件；第二部分利用分歧理论给出了平衡态系统正分歧解的结构，并讨论了局部分歧解的稳定性；第三部分利用特征值扰动理论、标准椭圆正则化理论、Sobolev嵌入定理及指标理论讨论了正平衡解的多重性、唯一性及稳定性，并讨论了参数对解的影响。

For a class of networked control systems with equality constraint ,this paper addresses the problem of designing controller,sampling period and the maximum allowable delay bound.

针对一类具有等式约束的网络控制系统控制器、采样周期以及最大允许延迟时间的设计问题，采用李亚普诺夫函数、线性矩阵不等式的方法，推导出了该网络控制系统渐近稳定的充分条件。

In theory, this paper gives an enough condition and the error analysis about this algorithm.

从理论上，给出了该算法成立的一个充分条件。

The stability theorem of estimated state error equation in form of M-matrix is obtained to guarantee the convergence of estimated state.

同样得到了采用M-矩阵判断状态估计误差方程的稳定性定理，给出确保估计状态收敛的一个充分条件。

The design problem of the filter is d escribed as a n optimization one.

系统的弹性滤波器，证明并给出了滤波器有解的充分条件，并将滤波器的设计转化为一个优

This is not a sufficient condition for eventual recovery. But it is a first and necessary one.

这并非经济最终复苏的充分条件，但却是先决和必要条件之一。

In this section, we prove the sufficient conditions for the existence of the solutions.

在这一部分中，我们重点讨论了解存在的充分条件，并以定理的形式给出具体的证明。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。