充分条件

By use of the stretch and compression fixed point theorem of normic form in cone ,the sufficient conditions for the existence of monotone increasing positive solutions and monotone decreasing negative solutions are obtained to the boundary value problems.

运用锥拉伸与锥压缩不动点定理，分别得到了边值问题单调递增正解和单调递减负解存在的充分条件。

In particular, our results does not assume any monotonicity condition on / as is customary in the literature.

我们采用Liapunov函数方法或Liapunov泛函方法获得了这些方程的零解一致渐近稳定的几个充分条件。

The main work is to give some sufficient conditions for the existence and global exponential stability of periodic solutions for PDNNs model, without assuming the smoothness, monotonicity and boundedness of the activation functions.

这里采用的主要方法仍然是Mawhin的重合度理论和Liapunov泛函的应用，并借助于一些重要的不等式和矩阵代数技术，得到更为一般并且具有很少限制的一些新的充分条件。

On the base, using the knowledge about matrix operations, we study the admissibility of parameter estimators in multilinear model and growth curve model.

在此基础上，利用矩阵运算的知识，进一步研究了多元线性模型和增长曲线模型中参数估计的可容许性，获得了参数估计在指定的估计类和全体估计类中可容许的充要条件或充分条件。

It is due to the incorrect use of the substantial derivative in multiphase flow that induces such results.

本文从连续介质的观点出发，得到了多相流的随体导数须满足的必要条件和充分条件。

Then, the GP〓-stability of the multistep Runge-Kutta method for neutral delay differential system with different delay terms is considered. A sufficient condition of asymptotic stability for the system is attained.

在分析中立项与非中立项具有不同延迟的中立型延迟微分系统多步Runge-Kutta方法的GP〓-稳定性时，给出了系统渐近稳定的一个充分条件。

By constructing proper Lyapunov functional, a sufficient condition and a necessary condition which the neutral item must satisfy when the modal is steady are given based on LMI technique and Lyapunov-Krasovskii stability theory.

通过构造合适的Lyapunov泛函，借助线性矩阵不等式的一些技巧以及Lyapunov-Krasovskii稳定性理论，给出了该神经网络模型稳定的充分条件，以及模型稳定时中立项所必须满足的必要条件。

Meanwhile, the mutualist also derives some benefit from the mutualist-prey, the presence of prey enhances the per capita growth rate of the mutualist.

本文应用全局分歧理论的有关知识，从只有一个分量为零的半平凡解入手，给出了该系统共存态存在的各种充分条件及参数的取值范围，同时也得到了其共存态局部稳定的某些结果。

We can call this standard approach the method of necessary and sufficient conditions.

我们将把真正标准的路数叫做"必要条件与充分条件方法"。

It proceeds by breaking concepts down into their necessary and sufficient conditions for application.

这个方法的开展，是借助于把概念拆分成恰当使用这个概念的必要条件和充分条件。

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％。