一类奇异微分方程边值问题的数值方法

在再生核空间中讨论一类二阶奇异微分方程两点边值问题.研究方程解存在的充分性和解唯一的必要性,建立解的精确表达式,获得近似解的求解方法,数值模拟结果说明该方法的有效性.     

Banach空间中2类压缩映射不动点的具误差的Ishikawa迭代序列的收敛性

讨论了Banach空间中拟压缩映射对和广义压缩映射的具误差的Ishikawa迭代序列的收敛性问题,得出了在一定条件下,这2类压缩映射分别强收敛于它们的不动点.这些结论推广和发展了已有的相关结果,使这些结果的适用范围更广.     

单值度量广义逆的扰动分析

本文利用有界齐性算子给出Banach空间上的有界线性算子的单值度量广义逆的扰动分析.     

局部弱sharp最小的几个等价条件

在一般Banach空间的框架下,证明了参考文献[1]中给出的法锥型必要条件也是局部弱sharp最小的充分条件,同时也给出了局部弱sharp最小的切锥型刻画.     

2*2上三角算子矩阵的左(右)Browder谱

设X,Y是复的Banach空间,在一个上三角算子矩阵Mc=A C0 B∈B(XY)中,A∈B(X),B∈B(Y)是事先给定的,对于任意的C∈B(Y,X),Mc的左(右)Browder谱:lσb(Mc)={λ∈C:Mc)-λB (XY)},B (XY)={T∈Φ (XY):asc(T)<∞},(rσb(Mc)={λ∈C:Mc)-λ■B-(XY)},B-(XY)={T∈Φ-(XY):des(T)<∞}).文中得到lσb(Mc)(rσb(Mc))与lσb(A)∪lσb(B)|rσb(A)∪rσb(B))之间存在有趣的填洞现象,即σ*(A)∪σ*(B)=σ*(Mc)∪W.其中,W是σ*(Mc)的某些洞的并σ*∈{lσb,rσb},并找出洞W的具体位置.     

Re-situating fieldwork and re-narrating disciplinary history in global mega-geomorphology

In 1985, more than thirty geomorphologists, planetary scientists, and remote sensing specialists gathered at a conference center in Oracle, Arizona, to discuss an emerging area of research that they called “mega-geomorphology.” Building on a conference of the same name held in London in 1981, they argued that new techniques of remote sensing and insights emerging from the study of extraterrestrial planets had created opportunities for geomorphology to broaden its spatial and temporal scope. This new approach was, however, neither unproblematic nor uncontested. In the discussions around mega-geomorphology that took place in the mid-1980s, the perceived conflict between the use of remote-sensing techniques to observe phenomena on vast spatial scales, on one hand, and the disciplinary centrality of fieldwork and field experience to geomorphology, on the other, was a recurrent theme. In response, mega-geomorphologists attempted to re-situate fieldwork and re-narrate disciplinary histories in such a way as to make remote sensing and planetary science not only compatible with geomorphological traditions but also means of revitalizing them. Only partially successful, these attempts reveal that the process of adopting a planetary perspective in geomorphology, as in other earth sciences, was neither straightforward nor inevitable. They also show how the field and fieldwork could remain central to geomorphology while also being extensively revised in light of new technical possibilities and theoretical frameworks.     

国际空间站上阿尔法磁谱仪电子设备热系统的研究与设计

阿尔法磁谱仪是国际空间站上进行大型物理科学实验的仪器,包含6组精密探测仪和650个微电子处理器,主要目的是探测暗物质和反物质的存在.本文主要对阿尔法磁谱仪电子设备的热系统进行设计、模拟和分析,进行了热真空热平衡测试以及AMS在轨运行监控.对典型工况的模拟分析结果表明,电子设备的热系统能够确保所有电子设备在要求的温度范围内工作;在轨运行的启动曲线和长时间实时监测数据表明,AMS电子设备运行正常,AMS的热系统符合设计要求,能够维持电子设备在规定温度范围内工作.     

关于算子闭值域的两个定理

给出两个改进的算子闭值域定理,并对相关算子值域问题进行探讨.     

渐近拟非扩张型的映像不动点的Ishikawa迭代逼近

在新的条件之下,研究了渐近拟非扩张型的映像具误差项的Ishikawa迭代逼近不动点的问题,同时给出了强收敛定理。在主要结果中,满足有界Ishikawa迭代序列{xn}的某些条件下,不需要集合K和T的值域的有界性。     

关于PM空间广义Meir—Keeler型映象的不动点定理

本文在PM空间引入概率广义Meir-Keeler型映象,并建立了该型映象的一个不动点定理,所得结果推广了其他作者的主要定理。