充分条件

In this paper, one sufficient condition for the global asymptotical stability of the three-dimensional cooperative system is derived using the nonpositive divergence and the properties of monotone flow.

利用非负散度和单调流性质推导出三维合作系统全局渐近稳定的充分条件，并将该条件应用到一些具体的三维合作系统系统的稳定性判定中，所得结果说明了Hirsch所提出的猜测的正确性，同时推广和改进了相关文献的已有研究成果。

New sufficient conditions for allsolutions to be oscillatory are obtained under some very weak conditions.

在较弱的条件下，获得了方程的所有解振动的新的充分条件。

We show that a supercritical Hopf bifurcation will occur under some conditions by using the density dependent rate in immature prey population as bifurcation parameter. Sufficient conditions which guarantee the uniform persistence and global stability of boundary equilibrium are also obtained.

我们以幼年食饵个体之间的密度制约率作为分支变量得到在一定条件下将出现超临界Hopf分支，并得到了系统一致持续生存和边界平衡点全局渐近稳定的充分条件。

We next establish certain conditions which arc necessary and sufficient for a projective module over a cellular algebra to be injective.

给出了胞腔代数是标准分层代数的一个充分条件，利用这个条件我们介绍了一种归纳构造标准分层的胞腔代数的方法； 5。

Then using the Zhengding quadratic form theory, had proven a function of many variables condition extreme value's sufficient condition, and has given its application example.

而后利用正定二次型理论，证明了多元函数条件极值的一个充分条件，并给出了其应用的例子。

Chapter 5 is focused on the studies on the equivalent conditions for maximum value convergence of sums of independent random matrix sequences, and the sufficiency condition of the strong consistency of M estimator of regression parametric in linear model for negatively associate samples, thus enriching and strengthening the results of a series of papers.

第五章得到了独立阵列和的最大值完全收敛的等价条件，从而丰富和强化了前人的一系列结果。获得了负相关样本线性模型中回归参数M估计是强相合的较弱的充分条件。

Cheap labor is an important condition for the development of the manufacturing sector, but not sufficient condition.

廉价劳动力是一个重要的条件，发展制造业部门，但不是充分条件。

Both sufficient criteria are studied further in Chapter 4. It is proved that they are equivalent to the injection and surjection of some maps.

第四章研究了判别FA是弱可逆和弱逆的充分条件，证明这些条件与一类映射为单射或满射是等价的。

Since then,by applying the Leray-Schauder continuation theorem,nonlinear alternative of Leary-Schauder,coincidence degree theory,and Krasnoselskii's fixed point theorem,many researchers have studied more general nonl...

研究了一类二阶非线性常微分方程的三点边值问题多重正解的存在性问题，在非线性项不满足超线性或次线性的条件下，利用不动点指数定理得到了至少存在两个正解的几个充分条件。

By using the new method, it relaxes the restriction of the related results in the Pa-per[31],extends the mainly results of the Paper[31], obtains the existence and uniqueness of a positive periodic solution, proves the existence and the uniform asymptotic stability of the almost periodic solutions of the studying model.

通过采用新的方法，减弱了文[31]的相应定理的条件，同时考虑了新的因素，推广了文[31]的结论，得到了所讨论方程的周期解存在的充分条件及其概周期解存在的充分性和一致渐近性。

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％。