一类非线性抛物方程Cauchy问题解的存在性条件

研究了带源项的非线性抛物方程Cauchy问题解存在的必要条件以及解所应具有的性质,通过把文献中的线性算子推广到形式较一般的带源项的非线性抛物算子,利用其中处理线性问题的方法来处理非线性问题．     

随机度量空间及其应用

首先证明取值于度量空间(可分或不可分)的随机元可构成随机度量空间;取值于赋范空间的随机元可嵌入到随机赋范空间中.接着给出这些结论对随机算子的应用.最后统一给出赋范空间上几乎处处有界的随机线性泛函的表示.     

Lω-空间中的ω-Urysohn分离性

在Lω-空间中引入分子网和理想的ωθ*-极限点、ωθ*-聚点等概念,证明ω-Urysohn空间中分子网和理想的ωθ*-极限点均唯一等特征性质,并证明ω-Urysohn分离性是可ω-遗传的,在(ω1,ω2)-同胚和(ω1,ω2)θ-同胚映射下是拓扑不变的,在满层条件下是任意可乘的,而且是R.Lowen意义下好的推广等性质。     

若干图的卡氏积的距离谱和距离能量(英文)

G是顶点集为{v_1,v_2,…,v_n}的连通简单图,G_1,G_2,…,G_n是有限图。联并图G[G_1,G_2,…,G_n】是按如下方式在G_1UG_2U…UG_n上加边而成的图:在G_i和G_j之间的任何两个顶点间加边,若v_i和v_j在G中相邻.[7]给出了两个距离正则图的卡氏积的距离谱.本文计算了联并图和距离正则图的卡氏积及两个联并图的卡氏积的距离谱.在此基础之上,我们得到了两个利用联并图与非同谱距离正则等能量图作卡氏积及联并图作卡氏积构造非同谱等距离能量图族的方法.     

电子束诱导单壁碳纳米管不稳定的新观察

利用透射电镜在室温下对不同形态的单壁碳纳米管进行了原位电子束辐照研究.研究发现:在相同的辐照条件下随着辐照时间(或辐照剂量)的增加,两端固定的单壁碳纳米管径向收缩,且收缩速率越来越快;相同直径的轴向弯曲的单壁碳纳米管比平直的单壁碳纳米管更加不稳定;一端固定另端自由的单壁碳纳米管轴向收缩,但其直径基本不变.利用单壁碳纳米管纳米曲率效应和能量束诱导非热激活效应,对上述单壁碳纳米管不稳定性现象进行了新的、合理的解释.     

On two unimodal descent polynomials

The descent polynomials of separable permutations and derangements are both demonstrated to be unimodal. Moreover, we prove that the $\gamma$-coefficients of the first are positive with an interpretation parallel to the classical Eulerian polynomial, while the second is spiral, a property stronger than unimodality. Furthermore, we conjecture that they are both real-rooted.     

Random walks and the effective resistance sum rules

In this paper, using the intimate relations between random walks and electrical networks, we first prove the following effective resistance local sum rules:

     

具脉冲效应和Beddington-DeAnglis功能反应时滞周期捕食系统

研究一类具有脉冲效应和Beddington-DeAnglis功能反应的时滞周期捕食系统,给出系统持续生存和周期解存在的条件.证明了在无时滞情况下,周期解是全局稳定的.     

番石榴叶提取物的鉴定及其抗菌作用

采用纸片扩散法对番石榴叶提取物进行体外抗菌试验研究,以了解其抗菌谱.结果表明番石榴叶提取物中存在有效抗菌成分,其中以乙醇提取物中白念珠菌、甲醇提取物中大肠埃希菌高度敏感.     

A study of using luminophore-doped silica nanoparticles as fluorescent probe in protein microarray assay

A convenient method for the synthesis of tris(2,2′-bipyridyl) dichlororuthenium(II) hexahydrate-doped amino-modified double-layer silica nanoparticles is presented in this paper. The synthesized nanoparticles are uniform and photostable, and can be well dispersed in a water solution. Proteins could be directly immobilized onto these nanoparticles by a simple coupling process without losing their biological activities. These nanoparticles were further used as fluorescent probes in protein microarray assay for the quantitative detection of protein. The results obtained by these nanoparticles, with the detection limit of as low as 3.5 μg/mL, were much better than those involving the use of conventional FITC probe. Translated from Chinese Journal of Analytical Chemistry, 2006, 34(9): 1227–1230 (in Chinese)