不动点定理

On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

关于一致Besicovitch概周期函数在微分方程中的应用，本文主要做了以下工作：第一，证明了一致B~2概周期函数空间在其特定范数下构成Banach空间，从而可以在此函数空间上应用不动点定理；第二，由一致B~2概周期函数空间的完备性，应用压缩映像原理，讨论了一类满足一定初始条件的带反射变量的波方程一致B~2概周期解的存在唯一性。

The present paper presents a general existence result of periodic solutions for functional differential inclusion with nonconvex right side by means of the asymptotic fixed point theorem.

用Horn渐近不动点定理，给出具非凸右端函数的泛函微分包含问题周期解存在性的一般性结果。

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauder's fixed point theorem.

此外，本章还使用Schauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauders fixed point theorem.

此外，、本章还使用Sehauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

The corresponding fixed point theorems of ordered mappings in ordered Banach space were improved and generalized.

结论改进和推广了相应的序Banach空间中序映射的不动点定理。

The purpose of this part is to study the delay differential systems in Banach space using the method of fixed point theorem.

一方面在非时滞的情况下通过构造比较函数，利用Brouwer不动点定理得到非时滞微分方程正周期解的存在唯一性，及周期解全局吸引的充分条件。

Then, one class of second-order semilinear differential systems with two parameters is considered.

第五章，用锥上的Deimling不动点定理分别讨论了依赖于参数的一阶中立型泛函微分方程和一阶中立型泛函微分系统，导出了一阶中立型泛函微分方程以及一阶中立型泛函微分系统存在两个正周期解，存在一个正周期解以及不存在正周期解的充分条件。

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。

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。

The paper gives stiffness matrix and mass matrix in finite element analysis of the ground vibration problem caused by track traffic by using three-dimension finite element method. Because three-dimension finite element analysis is very difficult, it is transmitted into a quadratic programming, which can be calculated by neural network.

本文融合神经网络技术和遗传算法，对轨道交通引起的地面振动进行了正分析和反演，并利用计算机技术实现了地面振动的三维动画模拟，这主要包括：(1)研究了压缩映射遗传算法，利用Banach空间的不动点定理证明了压缩映射遗传算法可以收敛到全局最优值，弥补了标准遗传算法不能收敛至全局最优值的不足。

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。