受扩散与时滞及食物限制影响的人口模型

考虑一类修正的L og istic模型,带有扩散与时滞及非线性的边界条件.利用上下解方法证明解的存在唯一性,当边界流量为负时,0解是渐近稳定的,当边界流量为正时,解在有限时刻达到饱和.     

负热容量系统的热平衡

以黑洞为例,对《新概念物理教程.力学》和《新概念物理教程.热学》中提到的负热容量系统的不稳定性作一注释.     

关于时滞差分方程的Razumikhin型稳定性定理

本文对无限及有限时滞差分方程建立新的Razumikhin型稳定性定理,其中可避免采 用不易寻找的辅助函数P.所得结论包含了文[1]的有关结果.     

迹稳定秩一的C~*-代数

本文引入了一类迹稳定秩一的C*-代数,证明了迹稳定秩一的C*-代数与AF-代数的张量积是迹稳定秩一的,得到了一个可分的单的有单位元的迹稳定秩一的,并且具有SP性质的C*-代数是稳定秩一的.同时,还讨论了迹稳定秩一的C*-代数的K-群的某些性质.     

On the Upper Bound of the Density for Truncated Stable Processes in Small Time

We present a point-wise concrete upper bounds in a small time for transition densities of truncated stable process in R ^d, which have singular Lévy measures. We provide several examples.     

Exceptional vector bundles on Enriques surfaces

The main purpose of this paper is to study exceptional vector bundles on Enriques surfaces. Translated fromMatematicheskie Zametki, Vol. 61, No. 6, pp. 825–834, June, 1997.     

Lienard方程周期解、概周期解的存在性

本文考虑Ｌｉｅｎａｒｄ方程ｘ”十ｆ（ｘ）ｘ’＋ｇ（ｘ）＝ｅ（ｔ），我们得到：当且时，对于任意周期或概周期。数ｅ（ｔ），它有周期或概周期解．而对于Ｌｉｅｎａｒｄ方程ｘ”＋ｆ（ｘ）ｘ’＋ｃｘ＝ｅ（ｔ），我们得到：当ｃ＞０且时，对于任意周期、或概周期函数ｅ（ｔ），它有周期或概周期解．     

L p -Loss and Limit Distribution for Predicting Integrals of Some Non-Gaussian Second Order Processes

Mean squared error for estimating integrals of second order processes like Fractional Brownian Motion have been considered since a while. If the process under study is Gaussian, the distribution of the estimator and its L ^p -loss can be easily deduced. The aim of this paper is to exhibit a class of non-Gaussian second-order processes, for which the distribution of the estimator and its L ^p -loss differ dramatically from the Gaussian case. This revised version was published online in August 2006 with corrections to the Cover Date.     

SOME PROPERTIES OF A KIND OF DIFFERENCE EQUATION

ＳＯＭＥＰＲＯＰＥＲＴＩＥＳＯＦＡＫＩＮＤＯＦＤＩＦＦＥＲＥＮＣＥＥＱＵＡＴＩＯＮ￥ＴａｎｇＨｅｎｇｓｈｅｎｇ，ＯｕＣｈｕｎｈｕａ，ＬｕｏＷｅｉ＆ＬｉＸｉａｎｙｉ（Ｃｅｎｔｒｅ－ｓｏｕｔｈＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，４２１００１）Ａｂ...