Fuzzy度量空间中的公共不动点定理

本文证明了在fuzzy度量空间中相对收缩映射的公共不动点定理,这个结果改进和推广了最近获得的一些结果。     

滚柱泵的设计参数及容积和瞬时流量分析

对滚柱泵的设计参数进行了分析,讨论了设计参数应满足的取值条件,指出当各滚柱的直径相同时,设计参数的取值范围只能为0<<1,2+<<4-。根据泵的运动学完全等效机构,导出了滚柱泵的容积和瞬时流量公式,并通过微机电算实例对公式作了验证。     

一致连续偏序集理论

给出了一致连续偏序集的概念及其性质和等价刻划。利用一致极小集的方法阐述了映射的连续性、保一致小于关系和保一致极小集之间的联系，并证明了完备格是一致连续格当且仅当每个元都存在一致极小集。     

关于可交换映射的公共不动点

证明了紧度量空间与完备有界度量空间上的可交换映射的公共不动点的存在性，所得的结果推广了Ｆｉｓｈｅｒ［１，２］，Ｌｅａｄｅｒ［３］和Ｊｕｎｇｃｋ［４］的结果．     

关于测度的弱收敛

如对任意有界连续实函数g,都有lim∫_Qgdμ_n=∫_Qgdμ,称测度序列{μ_n}弱收敛于μ,记作μ_n??μ.文〔2〕在取值于Banach空间中函数的Bochner积分意义下推广该极限.该文则在取值于(F)-空间中抽象函数的Bochner积分意义下作进一步推广.     

Banach空间中混合型非线性积分──微分方程的最大解和最小解

在弱序列完备的Ｂａｎａｃｈ空间中，利用推理论和单调迭代方法，研究了混合型非线性积分－微分方程初值问题最大解和最小解的存在性。其结果改进和推广了许多已知的结果。     

SOME PROBLEMS OF LYAPUNOV METHOD IN LINEAR CONTINUOUS-TIME SYSTEM

In this paper,some problems of Lyapunov method in linear continuous-time systemare discussed.In part 1,some motivations are given.In part 2,in order to get a good estimate ofthe decaying time in the system,the concept of appropriate Lyapunov function is introduced andthe condition of the system is given to guarantee the existence of the appropriate Lyapunov functionAn application of the appropriate Lyapunov function is introduced to give the bound of time varyingperturbation for the stable system.In part 3,some extensions of the Lyapunov asymptotical stabilitytheorem are given,where the condition of the total derivative of the Lyapunov function along thetrajectory of the system can be reduced from negative definiteness to semi-negative definiteness andcommon quadratic forms with some reasonable conditions,the example shows the extensions areinteresting.     

完全信息和非完全信息静态"监考博弈"

构建了一个完全信息和非完全信息“监考博弈”模型来分析大学生考试作弊的动机、后果及对策。结论是高校现存的管理措施不当,奖罚措施不利,并给出了政策性建议。     

A REPRESENTATION THEOREM OF THE BOUNDED REGULAR OPERATORS FROM SOME SPACE X ONTO L_1(μ)

1 PreliminaryIn this paPer, (n, Z, p) denotes the measure space of all finite complete positive measures,Ll (p) denotes all Bochner integrable functions on (Q, Z, p). Suppose X, Y are normed vectorlattices, X denotes the positive cone of X, L(X, Y) denotes all the 1inear operators from Xto Y. However, L(X, Y) may not be a lattice under the classical order. In [1], we know that ifX is a Banach lattice, then R(X, Y) 2 L"(X, Y), and if Y is order complete, so does R(X, Y).(Here R(X…