Laws of Large Numbers for Cesàro alpha-integrable Random Variables under Dependence Condition AANA or AQSI

Both residual Cesàro alpha-integrability (RCI( α)) and strongly residual Cesàro alpha-integrability (SRCI(α)) are two special kinds of extensions to uniform integrability, and both asymp-totically almost negative association (AANA) and asymptotically quadrant sub-independence (AQSI) are two special kinds of dependence structures. By relating the RCI(α) property as well as the SRCI(α) property with dependence condition AANA or AQSI, we formulate some tail-integrability conditions under which for appropriate α the RCI(α) property yields L1-convergence results and the SRCI(α) property yields strong laws of large numbers, which is the continuation of the corresponding literature.     

刚粘塑性强化球形薄壳在撞击体作用下的大变形动力分析

本文研究了在平头圆柱体的冲击下，薄球形壳的动力大变形。通过等度量变换，给出了球壳的变形模态。在Ｐｅｒｚｙｎａ和Ｓｙｍｏｎｄｓ的粘塑性本构模型基础上，设材料从Ｍｉｓｅｓ屈服条件，并假定弯矩的膜力不耦合。根据刚粘塑性强化材料的变分原理。给出球壳的运动方程结果与实验进行了比较，二者吻合较好。     

“渐近非扩张映象不动点具误差的迭代逼近”的注记

本文在去掉条件"T在D上一致渐近正则"的情况下,在一致凸Banach空间中给出了几个渐近拟非扩张型映象和渐近非扩张型映象不动点的迭代逼近定理.这些定理推广和发展了最近一些文献的相关成果,并且改进了定理的证明方法.     

Bcl-2蛋白抑制剂结合腔的性质分析

采用多重拷贝同时搜寻(MCSS)等方法对Bcl-2蛋白抑制剂结合腔进行分析. 结果显示, 结合腔可分成P1, L1, P2, P3和P4等5个区域, 其底部呈疏水性, 而P3部位不适合芳香性大基团的结合. 结合腔侧面和边缘处分布有可与配体形成除疏水以外作用的多个重要残基. MCSS计算得到的各种性质官能团在结合腔内的能量优势位置和取向能与已知结合模式的高活性抑制剂的重要基团位置吻合得较好.     

白色念珠菌N-肉豆蔻酰基转移酶中药物结合位点的MCSS分析

采用多拷贝同时搜寻方法(MCSS)分析得到了CaNMT活性位点的疏水区域、氢键结合位点和负电性区域. MCSS计算结果显示, CaNMT活性位点有两个疏水性比较强的区域: 一个由Tyr107, Tyr109, Val108, Phe117, Phe123, Ala127, Phe176和Leu337等残基组成; 另一个由Phe115, Phe240和Phe339组成. CaNMT活性位点发现有两个氢键作用区域, 其中Tyr119, His227, Asn392和Leu451是与已有抑制剂的氢键结合位点, Tyr107, Asn175, Thr211和Asp412是新发现的氢键结合位点, 而且在NMT家族中高度稳定, 它们对设计新结构类型的CaNMT抑制剂具有重要作用. Leu451是负电性兼氢键作用位点, 是抑制剂设计时所必需考虑的位点.     

A Variational ODE and its Application to an Elliptic Problem

In this paper,we consider the following ODE problem(P)where f ∈ C((0, ∞)×R,R),f(r,s)goes to p(r)and q(r)uniformly in r>0 as s→0 and s→ ∞,respectively,0≤p(r)≤q(r)∈ L~∞(0,∞).Moreover,for r>0,f(r,s)is nondecreasing in s≥0.Some existenceand non-existence of positive solutions to problem(P)are proved without assuming that p(r)≡0 and q(r)hasa limit at infinity.Based on these results,we get the existence of positive solutions for an elliptic problem.     

严格渐进伪压缩映象之修正型Mann迭代算法的强收敛性

本文利用CQ方法获得了k-严格渐进伪压缩映象修正型迭代算法的强收敛结果.此结果推广并改进了T.H.Kim和徐洪坤2006年获得的相应的一主要结果.即,从渐进非扩张映象推广到k-严格渐进伪压缩映象,并且去掉了闭凸子集C的有界性假设条件.     

APPROXIMATING COMMON FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings.We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansive mappings and those of [9] not only to a larger class of mappings but also with better rate of convergence.