半序空间

In this paper,we mainly study some problems in semi-ordered Banach space and obtain a few new results.

本文分别对半序Banach空间中非线性算子一些问题进行了研究。

The existence of periodic solutions to the second order ordinary differential equation in Banach space is discussed.

本文利用半序理论，非紧性测度，凝聚映射的拓扑度，不动点定理及锥上不动点指数理论，讨论了Banach空间E中二阶常微分方程周期边值问题解的存在性，主要结果有一。

And based on those measures two I/O linear scalable feature selection algorithms, StaFSOS and EnFSOS, are accurately constructed. 2 On the basis of Quotient Space theory and EnFSOS , granular transformation RBF classification model, GTM-CORBUNfast is constructed. The correctness of this model is proved by complete partial lattice, lattice tree search and property preserved theorems.

二、根据商空间理论，结合本文在特征选择和RBF神经网络的研究结果，给出了基于粒度变换的分类器构造模型GTM-CORBUN〓，并证明了其对应粒度变换的完备半序格、格树搜索和分类判别函数的性质保持性定理。

Upward dual pairs, dual theorem, positive extension, L-topology, semi-bounded, ordered locally convex spaces.

上偶对，对偶定理，正延拓，L-拓扑，半有界，半序局部凸空间，局部体空间

Meantime, the Namioka-Bauer's and Wong's positive extension theorem are generalized to ordered locally convex spaces (see Theorem 5.1) and hence some new necessary and sufficient conditions of positive extension in ordered locally convex spaces are obtained

同时Namioka-Bauer 定理和 Wong定理也被推广到半序局部凸空间中(定理5.1)，从而得到了一些新的关于半序局部凸空间中正延拓的充分必要条件

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

In chapter 2, by virtue of the properties of partially ordered F-type topological space, we establish some fixed point theorems of increasing mappings in this kind of space. At the same time, we investigate the existence of maximum fixed point and minimum fixed point of increasing mappings on an order interval.

第二章，利用半序F-型拓扑空间的基本性质，建立这类空间上单调增映射的不动点定理，研究其序区间上单调增映射的最大、最小不动点的存在性。

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space.

利用锥与半序理论和混合单调算子理论，讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性，并给出了迭代序列收敛于公共不动点的误差枯计，所得结果是某些已知结果本质改进和推广。

The free vibration of a nonlinear elastic rectangular plate is explored, considering influence of material nonlinearity and static-load in plane on its dynamic characteristics. Exact solution to free vibration of each mode of the rectangular plate is obtained according to the fixed point theory of partially ordered space. So the whole process of free vibration is described.

对非线性弹性矩形板的自由振动进行了研究，考虑了材料非线性和面内静载对板动力特性的影响，并根据半序空间的不动点理论求得该矩形板在自由振动时各阶模态的精确解，描绘了其自由振动的全过程。

The defination of continous parameter set valued ordered supermartingale is given in this paper with a kind of new semi_order in superspace P bfc.

利用有关文献中超空间Pbfc上一种新的半序给出了连续参数集值序上鞅概念，它是连续参数单点值上鞅的集值版本，并利用离散参数集值序上鞅的结果得到了连续参数集值序上鞅的表示定理

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。