有界性

It is proved in the paper that the uniformly ultimate boundedness of solutionsimplies the existence of periodic solutions to functional differential equations with infinite delayin admissible phase space with fading memory .

本文证明了在具有衰减记忆的允许相空间中，无限时滞泛函微分方程的解的一致最终有界性蕴含了周期解的存在性。

In this paper ,we mainly discuss the relations among three t2st ructures on nondegeneration and boundedness was discussed.

在这篇文章中讨论了这三个t2结构在非退化性和有界性上的联系。

In Chapter 2, we obtain the boundedness of solutions and the existence of invariant tori for an symmetric conservative system.

在第二章中，我们研究了一类非对称的保守系统解的有界性和不变环面的存在性。

We obtain some sufficient conditions which ensure the boundedness and global attractivity of the systems.

得到了系统有界性和零解的全局吸引性的充分条件。

Using qualitative analysis methods, the paper studies the boundedness of solutions and the existence of limit cycles.

利用定性分析的方法，讨论了模型在收获率条件下平衡点的稳定性，解的有界性，极限环的存在性问题。

Boundedness of matter is linguistically manifested in the countability of nouns which is usually exhibited in the grammatical restrictions on the usage of articles and inflectional morphemes.

2，事物的有界性表现于名词的可数性，而名词可数性往往表现在与名词相关的语言结构中，如限定词和词素变形等。

The growth of functions in these spaces depends on a weighted function ρ. We investigate the relation between growth and boundary values of the functions, and prove that a function or its radial derivative is in one of the spaces if and only if the p'integral average of the difference of its boundary value function is integrable or bounded.

研究这些函数空间中函数的增长性与边界值的关系，得到了函数或其径向导数属于相应空间的充分必要条件是其边界值差分的p次积分平均应具备一定的可积性或有界性。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

These networks are generalized without assuming the boundedness, monotonicity and differenciability of the activate functions.

在放松神经网络的激活函数的有界性、单调递增性和可微性的条件下，得到了神经网络的全局渐近稳定的条件。

By the above four criteria, it is proved that there does not exist a line parameterization which could satisfy all the four criteria at the same time, and that the line parameterization, formulated as c= ax+y, a∈-a0 ,a0, where a0 is an arbitrary positive number, can not only satisfy the uniqueness, boundedness, and recursiveness criteria, but also achieve the best goodness to the uniformness one.

根据上述四条标准，证明了不存在同时满足这四条标准的直线参数化方式t和直线参数化方式c= ax+y， a∈-a0 ，a0不但满足唯一性、有界性和递归性标准，而且可以获得均匀性标准的最优近似。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。