自反Banach空间中的广义变分不等式

本文引入了集值广义(强)拟单调映象的概念.证明了自反Banach空间中闭凸集上集值广义(强)拟单调映象的广义变分不等式解的存在性定理,改进了Browder,Hartman-Stampacchia,shih-Tan,Tan-Yuan等人的相应结果.     

一个奇异非线性两点边值问题

本文证明了奇异非线性两点边值问题—y″=f(x,y)—h(x),y(0)=0,y′(1)=ky(1)在条件(H_1)～(H_1)成立时只有一个正解.     

Ramsey数的下界

本文由构造循环图得到 Ramsey 数 r(3,q)的下界渐近公式,并且在 Ramsey 循环图的基础上构图,改进了 Ramsey 数 r(3,10)和 r(3,12)的下界。     

在无界域中具散度形式的非线性椭圆型方程边值问题

先用非线性泛函方法证明混合边值问题解的存在性，然后证明在有界域外部具散度主部的非线性椭圆型方程边值问题解的存在与唯一，最后证明在一般无域中解的存在与唯一。     

On the Growth of Transcendental Entire Functions with Unbounded Fatou Components

Suppose that f（ z ） is a transcendental entire function and that F（f） contains unbounded Fatou components. In this article, we obtained some links between the lowor bounds of the lower order of f and the angle of an angular sector which is completely contained in an unbounded Fatou component of F（f）. Then, we investigate the bounded components for the Julia set J（f） of a transcendental entire function f（z ） and obtain a sufficient and necessary condition.     

发展男子排球运动员下肢速度力量的调查

依据当今速度力量的研究成果,制定专家问卷、教练问卷,以河南几所高校排球教研室和少年体校为调查对象,针对男子排球运动员下肢速度力量的训练方法做出综合统计分析,以期为排球教学与训练提供参考.     

Kantorovich不等式的再拓广

本文对Kantorovich不等式的推广再行拓广,扩大了它的适用范围,并给出了相应的下界。     

两种算术函数上下界的讨论

在自然数中，任意自然数ｎ都可由若干个１通过加、减、乘法运算表示出来；也可以去掉减号，由若干个１通过加和乘法表示出来。在ｎ的所有可能的表示法中，我们分别用ｆ（ｎ）和ｇ（ｎ）记这两种表示法中包含１的个数最少的那种表示法中所含１的个数，参考文献［１］中给出了ｆ（ｎ）的一个较强的上下界估计，本文进一步证明了不等式３ｌｏｇ３ｎ≤ｆ（ｎ）≤３．６８ｌｏｇ３ｎ３ｌｏｇ３ｎ≤ｇ（ｎ）≤４．７６ｌｏｇ３ｎ并讨论了∑ｎ≤ｘｆ（ｎ），∑ｎ≤ｘｇ（ｎ），的渐近性质     

An in situ zircon Hf isotopic,U-Pb age and trace element study of banded granulite xenolith from Hannuoba basalt： Tracking the early evolution of the lower crust in the North China craton

Backscattered electron images, in situ Hf isotopes, U-Pb ages and trace elements of zircons in a banded granulite xenolith from Hannuoba basalt have been studied. The results show that the banded granulite is a sample derived from the early lower crust of the North China craton. It is difficult to explain the petrogenesis of the xenolith with a single process. Abundant information on several processes, however, is contained in the granulite. These processes in-clude the addition of mantle material, crustal remelting, metamorphic differentiation and the delamination of early lower crust. About 80% of zircons studied yield ages of 1842 ±40 Ma, except few ages of 3097-2824 Ma and 2489-2447 Ma. The zircons with ages older than 2447 Ma have high εHf (up to +18.3) and high Hf model age (2.5-2.6 Ga), indicating that the primitive materials of the granulite were derived mainly from a depleted mantle source in late Archean. Most εhf of the zircons with early Proterozoic U-Pb age vary around zero, but two have     

二阶反序泛函微分方程解的存在性条件

本文主要讨论一类二阶泛函微分方程Neumann边值问题在上下解反序条件下，解的存在性条件．