不动性

Chapter 4 presents five design criteria of S-boxes of block ciphers, develops a method of constructing large S-box by use of algebraic group operation, proves the balance property of these large S-box, tests the strict avalanche and independence of avalanche variables properties of S-boxes in NEA cipher, analyses the nonlinearity and best linear approximation of the S-box, and finally defines the differential of input/output of S-boxes of this cipher and analyses the distribution of them.

第二部分即第三章，提出了一种新的分组密码类NEA(NEA-4A，NEA-8A，NEA-4B，NEA-8B)，完整地描述了该密码类的加解密过程和密钥协议；证明了NEA-4B和NEA-8B的完全对合性和没有不动点的性质；分析了该密码类的安全特征；具体地介绍了实现该类密码的途径；给出了NEA-4A的计算机C语言程序和样本数据。

After stabilizing his painting box one the back seat of his bike, he would spraddle there still without movement for hours--this was his standard pose for painting, even in rain or snow, looking like a samurai.

他画画有个标准性动作，画箱在自行车尾座上放稳了，两条短腿叉开一站就再也不动了，有时几个钟头都不挪动一下，甚至下雨下雪也不受影响。很有点武士道的味道。

The convergence of the traditional nonlinear equations is related to the selected initial value, but the convergence of the fixed point method is not related to it.

传统的非线性有限元方程组的数值求解法（牛顿-拉普森迭代法与共轭梯度法）只能求解单值性有限元方程，且其收敛行为与初始值的选择有关，而不动点方法在求解非线性方程组时的收敛行为不受初始值选择的影响，在大范围内是一致收敛的。

The major contributions of this thesis include:(1) proposing a new kind of optimal feedback control, followed by its application to chaos targeting and stabilization of high period unstable periodic orbits ;(2) stabilization of unstable fixed point in chaotic systems using some kind of nonlinear feedback control, and giving sufficient condition for the existence of the controller as well as the synthesis procedure;(3) analyzing the robustness of optimal control in chaotic Lur'e systems under the help of H〓 control theory;(4) finally and most importantly, introducing a novel method of information storage based on discrete time chaotic systems as the application of chaos control, and systematically studying different schemata for implementation, providing a theoretic basis for the design of such new kind of information storage devices with large capacity.

本文的主要工作包括，提出一种新的最优反馈控制，并将之应用于混沌引导控制及混沌系统高周期不稳定周期轨道的镇定控制；针对不动点镇定控制的一类非线性反馈控制器，文中给出该类反馈控制存在的充分条件及设计步骤；文中还利用非线性H〓鲁棒控制理论对Lur'e混沌系统中的最优线性反馈控制进行鲁棒性分析；最后，也是最重要的，作为混沌控制的应用，文中提出一种基于离散时间混沌系统的信息存储方法，系统地分析、研究了实现这种信息存储的不同方案，为以后进行这种新型大容量存储器设计提供了一定的理论依据。

On the base that two comparison theorems are established,applying the fixed-point theorems,we investigate the existence of maximal and minimal solutions forfirst order initial value problem and the JKjperiodic boundary value problem of discontinuous differential-integral equations of mixed type in partial-ordered Banach spaces,respectively.

在建立了两个比较定理的基础上，我们应用不动点定理，分别研究了半序Banach空间中不连续的一阶混合型微分-积分方程的初值问题与周期边值问题最大解与最小解的存在性。

In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones.

利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果。

Singular boundary value problems are considered in many problems, but, people can get better results, using theories of function to study these problems.

然而，在抽象空间中对奇异边值问题的研究，还不是很多，刘衍胜教授在文[4]中做过一些探讨，本文第一章把原文作了一般性推广，并给出了算子全连续的条件，然后利用不动点定理得到了正解的存在性。

Moreover, Alice's adventure, with its un-sequential events—as the plot "murdered time" in story suggests—creates a time without its chronological flowing, but a time suspended. The time is on the one hand a moment that suspensive, and is a most intensive instant on the other hand, where all the forces encounter, resonate and emit at this ultimate second. Thus, the Dream becomes a purely intensive world, and Alice is the continuum of intensities which constitutes by dynamically linked events.

另一方面，爱丽丝的冒险由各种不连续的事件构成，正如故事中「时间被谋杀」的情节所示，时间不再呈现历时性的流动，取而代之的是一个介於进入与离开的钟摆低点时刻，这个低点瞬间既是一个不动的时间切片，也是强度最大的时刻，一切能量於此互相角力或各自散射，而梦境成为一处纯粹的强度世界，爱丽丝则是由诸事件的动态串联所组成的强度连续体。

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。

These opera-tors include composite type weakly compact increasing operators,T-monotone op-erators and theβ-constrictive operator which relatives with the measure of weaknoncompactness.

建立了若干不连续算子的不动点定理，这些算子包括复合型弱紧增算子、T-单调算子及与弱非紧性测度有关的〓增算子。

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。