On Harmonic Majorization of the Martin Function at Infinity in a Cone

This paper shows that some characterizations of the harmonic majorization of the Martin function for domains having smooth boundaries also hold for cones.     

二阶共振周期边值问题多解的存在性

借助于与给定共振的非线性周期边值问题相关的非共振的线性边值问题来构造算子,利用范数形式的锥拉伸-压缩不动点定理,得到了非线性周期边值问题非负解的存在性定理.     

MULTIPLE POSITIVE SOLUTIONS TO SOME SECOND-ORDER m-POINT BOUNDARY VALUE PROBLEMS

Multiplicity of positive solutions to some second order m-point boundary value problems are considered. By fixed-point theorems in a cone, some new results are obtained. The associated Green’s function of these problems are also given.     

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR INFINITE DELAY FUNCTIONAL DIFFERENTIAL EQUATIONS

In this paper, the existence of positive periodic solutions for infinite delay functional differential equations(FDEs for short) is discussed by utilizing a fixed point theorem on a cone in Banach space. Some results on the existence of positive periodic solutions are derived.     

Toric Rigid Spaces

This paper gives a method to construct rigid spaces, which is similar to the method used to construct toric schemes.     

Conformationally Selective Synthesis of Mononitrocalix[4]arene in Cone or Partial Cone

Nitro‐substituted calixarenes in a cone and a partial cone conformation were prepared selectively using distinct synthetic routes. The selective nitration of tris‐ or penta‐substituted phenols of calix[4]arene or calix[6]arene provided mononitrocalix[n ]arenes (n  =  4, 6). Subsequent addition of ethylene glycol (EG) moieties to mononitrocalix[4]arene provided tetraEGylcalix[4]arene in locked partial cone conformation. By an alternative route – initial addition of EG moieties to the non‐derivatized calix[4]arene followed by the uncontrolled nitration – provided mononitro‐ and dinitro‐tetraEGylcalix[4]arenes locked in the cone conformation. These nitrocalix[4]arenes with locked cone or partial cone conformation are useful building blocks for further assembly of supramolecular systems, especially in the area of material sciences.     

基于COMSOL软件下截锥体电阻的计算

本文应用Comsol软件讨论了截锥体内电势和电流的分布,并计算了截锥体的电阻.     

一类随机算子方程的随机解的存在唯一性

利用Mann迭代技巧,讨论了一类随机算子方程A（ω,x（ω）,x（ω））=B（ω,x（ω））的随机解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.     

Landau-Lifshitz方程派生的球面锥对称族及其演化

直至2008年,尚未见到讨论同时具有外磁场和各向异性场的多维Landau-Lifshitz方程的显式动态解的文献.当缺少外加磁场或各向异性场时,许多作者曾经尝试过Hirota的著名方法,Lie代数结构与Backlund变换,双线性变换等,但精确解仍然没有构造出来.本文首先给出了一种求解具有外磁场和各向异性场的Landa...     

内锥式流量计数值模拟及优化设计

多相流过程参数的准确测量在石油化工与冶金工业等工业过程中十分重要。内锥式流量计作为一种新型差压流量计在多相流测量中逐渐受到关注,它能在较短的直管段条件下对流体实现准确的测量,但其结构尚存在优化的空间,需进行深入研究。本文对传统内锥式流量计做结构变形和优化研究,利用计算流体力学(CFD)方法对DN50 mm水平管道中内锥变形体的流场进行数值模拟,分析在不同结构参数下锥体的水力特性以优化结构。数值仿真结果表明,综合内锥式流量计在取压点、永久压损及测量精确度等因素,优化后的结构可以显著降低永久压损,提高测量重复性和精确度。