有界性

In Chapter 3, we study the boundedness of solutions and the existence of invariant tori for two kinds of isochronous systems.

在第三章中，我们研究了两类等时系统解的有界性和不变环面的存在性。

On the other hand, in order to get more accurate results, more conditions were added to produce a new criteria on the boundedness and stability of solution for these equations.

通过将条件适当加强，得到了方程更好的吸引性，同时为有界性和稳定性的新准则确立奠定了基础。

It describes the characteristics of motion to the dynamic system of excavators. The strange attractor gets directly describe and has three importance characters, i. e. chattiness, boundedness and arrangement.

并且从几何上描述了挖掘机动力系统的运动规律，对系统的奇怪吸引子进行了直观刻画，发现其具有三个重要特点：即混乱性、有界性和层次性。

In this paper, the difference of compact operator on p-Bloch space and little p-Bloch space of polydisc will be considered, and we will give a sufficient condition for the compactness of the difference of compact operator, and then prove it.

本文主要研究了多圆柱上p-Bloch空间之间及小p-Bloch空间之间的复合算子的差分形式，给出了它有界性和紧性的一个充分条件。

Composite function is one of the important objects of mathematical analysis research,and some of it's analysis natures such as monotony, boundedness, limit,continuity, derivability,integrability are important content in the mathematical analysis,they are also important tool to study other objects in mathematics.

复合函数是数学分析研究的重要对象之一，它的一些分析性质（如单调性，有界性，极限，连续性，可导，可积性）是数学分析中的重要内容，也是研究数学中其它对象的重要工具。

Sufficient conditions guaranteeing the synchronized behavior are obtained without assuming the boundedness and differentiability of activation functions.

在设计同步控制的时候，没有假设激励函数的有界性、可微性和单调性，给出的条件简便易实施。

Our results generalize and improve some existing ones because our method abandons the typical assumptions on boundedness, differentiability and monotonicity of activation functions.

由于我们的方法去除了关于激活函数的有界性、可微性和单调性的常用假设，因此我们的结果是某些现有结果的推广和改进。

Invariants can be calculated from incidence matrix and used to analyze the properties of systems.

根据Petri网的关联矩阵，解得它的不变量，就可以分析系统的某些特性，如安全性、有界性、守恒性、死锁等等。

Furthermore,inspired by〓and the study of compactness in chapter four,wediscuss the boundedness and compactness of integral operator〓.

受〓及第四章关于紧算子的研究的启发，本章还讨论了积分算子〓的有界性和紧性。

For its two special cases: N = 0 and R=0, based on nongradient and gradient methods respectively, neural networks for the two cases are constructed. With the Lyapunov theorem and the LaSalle invariant set principle, the proposed networks are proved to be

推广了R_0性质的定义，并证明无约束优化问题目标函数的水平集的有界性与矩阵对的R_0性质是等价的，最后运用Lyapunov稳定性理论和LaSalle不变原理，严格分析了网络模型的稳定性和收敛性，这些模

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。