关于第二积分中值定理“中间点”的再注记

对于第二积分中值定理中的“中间点”,给出并证明了比文献[1]更一般的结论,文献[1]的有关定理可以看成此处定理的推论.     

广义中值定理中间点函数的性质

利用比较函数和新的分析方法,研究广义中值定理当两个函数最高阶导数不相等时中间点函数的可微性与渐近性,在一定条件下得到广义中值定理中间点函数的一阶可微性与渐近性,推广和改进了相关结果.     

具有分布时滞神经网络系统的全局稳定性分析

基于M-矩阵理论，利用Liapunov泛函方法和不需要激励函数有界以及满足全局Lipschitz条件假设的前提下，讨论一类具有分布时滞神经网络系统的稳定性问题，最后给出实例仿真来说明所得结果的有效性．     

一类奇摄动反应扩散问题解的渐近性态

本文研究了一类奇摄动反应扩散方程组的初始边值问题．利用伸长变量构造了问题的形式渐近解，并用微分不等式理论，证明了解的一致有致性．     

关于复函数积分中值公式“中值点”的渐近性

讨论了复函数积分中值公式“中值点”的渐近性     

非自映射m—增生算子方程解的迭代逼近

设Ｅ是一致凸和一致光滑的Ｂａｎａｃｈ空间，Ｔ：Ｄ（Ｔ）Ｅ→Ｅ是ｍ—增生算子，ｆ∈Ｅ作者在较弱的条件下获得了关于算子方程ｘ＋Tｘ＝ｆ解的迭代逼近。去掉或减弱了最近由Ｃｈｉｄｕｍｅ建立的逼近定理中某些关键性条件（其余条件不变）。因而改进和推广了近期相应结果。     

The existence and stability of nontrivial steady-state for a delay competition-diffusion model

This paper investigates the competition diffusion model with delay. The existence and stability of nontrivial steady state are studied. Foundation item: Supported by the National Natural Science Foundation of China Biography: ZHOU Li (1939-), male, Professor, research interest is in partial differential equation.     

CONTINUOUS-TIME KIEFER-WOLFOWITZ ALGORITHM WITH RANDOMIZED DIFFERENCES

1.IntroductionTheKiefer-Wolfowitz(KW)algorithmisusedtosequeotiallysearchtheextremumofafUnction,onthebasisofthenoisecontaminatedobservationsofthefunction.AssumetheunknownauctionH:ac-Rhasauniquemaximumatxo.ItiswellknownthattheclassicalKWalgorithmneedsZmobserVationsofH(see[1])forupdatingtheestimateofxoateachiteration.Itisrathertime-consumingifthedimensionmisverylarge,somanyresearchersmanagedtoreducethenumberofmeasurementsneededateachstep.Recently,Spalll2]proposedanalgorithmwithrandomizeddif…     

Scalar BEKK and indirect DCC

The paper derives the scalar special case of the well‐known BEKK multivariate GARCH model using a multivariate extension of the random coefficient autoregressive (RCA) model. This representation establishes the relevant structural and asymptotic properties of the scalar BEKK model using the theoretical results available in the literature for general multivariate GARCH. Sufficient conditions for the (direct) DCC model to be consistent with a scalar BEKK representation are established. Moreover, an indirect DCC model that is consistent with the scalar BEKK representation is obtained, and is compared with the direct DCC model using an empirical example. The paper shows, within an asset allocation and risk measurement framework, that the two models are similar in terms of providing parameter estimates and forecasting value‐at‐risk thresholds for equally weighted and minimum variance portfolios. Copyright © 2008 John Wiley & Sons, Ltd.     

模N原根及逆的分布

研究了模ｎ的原根及逆的分布性质，并给出了一个较强的的渐近公式。