有界性

In this research report, we mainly study the boundedness, compactness, weak compactness and other properties of composition operators on some analytic function spaces.

在本报告中，我们主要研究了一些全纯函数空间上复合算子的有界性，紧性，弱紧性和这种算子的一些其它性质。

Under some suitable assumptions, a global error bound for the solution to the second-order cone complementarity problem is established and the level of every merit function is bounded based on these merit functions.

在某些条件下，基于这类效益函数建立了二阶锥互补问题解的一个全局误差界及这类函数的水平有界性。

In this project, we firstly dealt with the existence and multiplicity of periodic solutions and boundedness of solutions of Duffing equations.

一方面，本项目研究了Duffing方程周期解的存在性、多解性及解的有界性。

Using general qualitative analysis methods, we study the boundedness of solutions, the properties of equilibrium and the existence of limit cycles.

利用常用的定性分析方法，讨论了模型在收获率条件下的解的有界性、平衡点的性态及极限环的存在性问题。

This thesis is mainly about to discuss the commutativity and the algebra properties of dual Toeplitz operators, and to prove the boundedness and compactness of products of Hankel operators in the several complex variables.

本文主要研究的是多变量的对偶Toeplitz算子的交换性和代数性质，以及Hankel算子乘积的有界性和紧性。

These results show the corresponding relationship between the composite function and interior function and outer function.

本文讨论复合函数的性质，对复合函数在极限、连续性、可导性、可积性、有界性、奇偶性、周期性、单调性、极值等方面的性质进行了总结和进一步的探讨，得到一系列结果，这些结果描述了复合函数与其内外函数之间在相应性质上的关系。

Secondly, based on the Mawhin's continuity theorem in coincidence degree theory and the Brousk's theorem, some novel criteron of the existence on periodic solutions are obtained under the more generalized assumptions than before.

主要工作是：第一，应用构造Liapunov函数以及Lasalle不变性原理，给出了解的有界性与收敛性的一些新的充分条件和充分必要条件，这些结果包含或扩展了已有文献关于同样问题的一些重要结果。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

W ithout assuming the boundedness, monotonicity, differentiability and Lipschitz continuity of the active functions, an algebraic criterion to ensure existence and globally exponential stability of periodic solutions was obtained.

在 放松该类神经网络激活函数的有界性、单调递增性、可微性及Lipschitz连续等条件下，得到了该类神经网络周期解的存在性与全局指数稳定的代数判据。

The motion control problems of uncertain robots is studied in this paper The main work consists of six parts 1 A novel robust outer-loop design method is proposed for the robot manipulators with constructed and unconstructed uncertainty The global convergence of the closed-loop system and the uniformly ultimate boundedness of tracking error when the continuous control law is used are proven The proposed method has better accuracy than the existing method.

本文研究具有不确定性的机器人的运动控制问题，主要工作由六部分组成：一、对具有结构型和非结构型不确定性的机器人提出了一种新的鲁棒外环设计方法，闭环系统的全局收敛性和连续化鲁棒控制器的终结有界性得到了证明，比已有方法有更好的跟踪精度。

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。