关于Cauchy中值定理逆问题的渐近性

对Cauchy中值定理的逆问题作了进一步的研究,得到了Cauchy中值定理逆问题的渐近性.     

多目标多阶段决策问题最优化方法及应用

本文提出了可行状态点,可行边和可行策略等概念,建立了一种新的解决多目标多阶段决策问题的方法,介绍了这一方法的应用实例:     

PADE’型逼近的收敛性

文章给出了Ｐａｄｅ型逼近积分形式的误差公式，并用该公式证明了Ｐａｄｅ型逼近的两个收敛定理．     

关于三次图边可重构问题的注记

对δ（Ｇ）≥８的连续三次图Ｇ是边可重构的定理给出了一个简单证明。此外还证明了，当δ（Ｇ）＝７，γ（Ｇ）≤８２以及δ（Ｇ）＝６，γ（Ｇ）≤１７时，连续三次图Ｇ是边可重构的     

The genetic diversity of cen-tral and peripheral popula-tions of ratlike hamster(Cricetulus triton)

The impact of habitat fragmentation and isolation on the genetic diversity of populations has attracted much attention in studies of meta-population and conservation biology. In this work, using the randomly amplified polymorphic DNA (RAPD) technique, we studied the genetic diversity of central, peripheral and peninsular populations of ratlike hamster, which were collected in five locations of the North China Plain and its surrounding areas, in 1999. The study revealed that, ⅰ) the genetic diversity of central population of Raoyang County＞the sub-central populations of Gu'an County and Taikang County＞the peripheral population of Shunyi District＞the peninsular population of Mentougou District; ⅱ) the genetic diversities of the five populations were positively correlated to the nearest distances to the peripheral line of population distribution; ⅲ) there were significant differences of gene frequencies of some RAPD fragments among the five populations. More RAPD fragments disappeared in peripheral populations than in central or sub-central populations. The frequencies of two RAPD fragments were correlated to the latitude. This study clearly indicated that the variation of the genetic diversities of the five populations was caused by edge effect and frag- mentation through the enhanced inbreeding and genetic drift, and thus supported the view that habitat fragmentation and related edge effect reduce the population genetic diversity.     

若干图的Mycielskian图的边色数

对图G(V,E),μ(G)称为G的Mycielskian图,若V(μ(G))=V(G)∪{v′|v∈V(G)}∪{w}且w V(G),而E(μ(G))=E(G)∪{uv′|uv∈E(G)}∪{wv′}.研究了路、圈、扇、轮图的Mycielskian图的边色数.     

一些商的单调性质

考虑了形如∫xap(t)f(t)dt∫xap(t)g(t)dt　　　　和　　　　∑ki=1piai∑ki=1pibi的两种商在一定条件下所具有的单调性质,推广了某些熟知的结果.     

关于M(x)=o(x)的一个初等证明

本文的主要结果为:设μ(n)是M?bius函数,x>0为实数,若M(x)=■,则M(x)=o(x),x→∞.完成了该定理的初等证明.     

周期摄动保守系统的存在性定理

本文利用全局反函数定理讨论了一类非线性边值问题解的存在性与唯一性.