中国古今制服之比较研究

针对中国古代制服与现代制服问题,从社会背景、历史文化、经济基础、设计者和着装者等多个方面进行了对比、探讨,阐述了古今制服的异同,揭示了现代制服的特点及其发展前景。     

关于差分方程xn+1=1+xn-k/xn的正解的收敛性

研究了差分方程xn+1=1+xn-kxn,n=0,1,…,k∈{1,2,3,…}的正解的收敛性,证明了:1)若k是奇数,则该方程的每个正解都收敛于一个(不必是基本的)2周期解;2)若k是偶数,则该方程的每个正解都收敛于它的休止点x=2.从而回答了文献[2]中提出的公开问题2.     

时标上具有扰动的中立型动力方程的稳定性

考虑时标上一类含有扰动项的非自治中立型动力方程的3/2-稳定性问题。运用时标的微积分基本理论和Gronwall等重要不等式,得到了零解一致稳定和渐近稳定的充分条件,推广并改进了现有文献中的结论。     

广义分数次积分算子交换子在弱Hardy空间上的有界性

介绍了弱Hardy空间及其性质,讨论了广义分数次积分算子交换子在弱Hardy空间上的有界性.     

关于m—正齐次算子的一些性质

本文给出了m—正齐次算子的一些基本性质,其中包括连续性、有界性、可微性以及这些性质之间的联系。文中部分结果是线性算子性质的推广。     

最小度与[a,b]-k-对等图

设G=(V(G),E(G))是一个n阶图,1≤an+(a+b)-2■bn-2k+1,则G是[a,b]-k-对等图。推广了已有的结果。     

UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION

In this paper, we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays. The system, which consists of two Lotka-Volterra patches, has two competitors: one can disperse between the two patches, but the other is confined to one patch and cannot disperse. Our purpose is to demonstrate that the dispersion rates have no effect on the uniform persistence of the solutions of the system. Furthermore, we establish the conditions under which the system admits a positive periodic solution which attracts all solutions.     

The generation of random,binary unordered trees

Several techniques are given for the uniform generation of trees for use in Monte Carlo studies of clustering and tree representations. First, general strategies are reviewed for random selection from a set of combinatorial objects with special emphasis on two that use random mapping operations. Theorems are given on how the number of such objects in the set (e.g., whether the number is prime) affects which strategies can be used. Based on these results, methods are presented for the random generation of six types of binary unordered trees. Three types of labeling and both rooted and unrooted forms are considered. Presentation of each method includes the theory of the method, the generation algorithm, an analysis of its computational complexity and comments on the distribution of trees over which it samples. Formal proofs and detailed algorithms are in appendices.     

一致区域的定义及单叶性准则

O.Martio, J.Sarvas及F. W . Gehring, B. G.Osgood分别给出了一致区域的定义。本文给出了一致区域的一个形式上非常简单的新定义,并且证明了它与上面两个定义的等价性。在这个定义的基础上,我们得出了一个函数的单叶性定理。最后,对穿孔圆盘的单叶性内径给出了一个估计。     

广义非线性隐拟补问题解的有界性及扰动迭代算法

讨论了一类广义非线性隐补问题解的有界性及扰动迭代算法，给出一一些新的结果，推广了Ｉｓａｃ和Ｎｏｏｒ等人近期的一些结果。