电雾化装置及雾化模型研究

本文介绍了新研制的电雾化实验装置及其测试系统。一系列实验表明该系统运行可靠。在该装置上进行的实验表明,电雾化现象与溶液电导率、介电常数、表面张力、粘性以及电压、流量有关。电雾化现象中存在“滴”模型、“脉动”模型、“锥－射流”模型、“不稳定”模型等几种不同的流动状态。而在“锥－射流”模型时,溶液具有单分散的尺度分布。本文还介绍了酒精溶液在民雾化过程中出现“锥－射流”现象的区域。     

应力脉冲在变截面SHPB锥杆中的传播特性

为研究混凝土材料的动态力学性能 ,将原有的SHPB装置改装成直锥变截面式SHPB。系统分析了应力脉冲在直锥变截面杆中的传播特性 ,讨论了大小端杆径、过渡段长度以及锥角等对波传播的影响 ,为合理设计直锥变截面式SHPB装置提供了理论依据。     

Convergence Properties of a Conditional ε-Subgradient Method Applied to Linear Programs

We propose a new conditional ε-subgradient method intended for solving general convex programs, Convergence properties of the method are investigated. It is proved that for a linear program with a compact set of solutions, the method generates a sequence of feasible approximations whose objective function values converge to the optimal value at a rate that is at least linear.     

一类离散$\mbox{\boldmath $m$}$点边值问题正解的存在性与多重性

本文运用锥上的不动点理论，得到了一类离散多点边值问题的一个正解及两个正解存在性.     

带p-Laplacian算子三点边值问题拟对称正解的多重性

应用Avery—Peterson不动点定理,讨论了一类带p-Laplacian算子三点边值问题在非线性项,依赖于未知函数的一阶导数的情况下拟对称正解的多重性,得到了这类边值问题至少存在三个拟对称正解的充分条件．     

关于非线性特征值多点边值问题的四个正解的存在性

利用锥上的不动点定理,考察了一类非线性特征值问题u″(t)+λf(t,u(t))=0,0≤t≤1,u(0)=0,αu(η)=u(1)的多个正解的存在性,给出了四个正解存在的充分条件,这里0<η<1,α>0.     

The Fermat rule for multifunctions on Banach spaces

Using variational analysis, we study vector optimization problems with objectives being closed multifunctions on Banach spaces or in Asplund spaces. In particular, in terms of the coderivatives, we present Fermat’s rules as necessary conditions for an optimal solution of the above problems. As applications, we also provide some necessary conditions (in terms of Clarke’s normal cones or the limiting normal cones) for Pareto efficient points.This research was supported by a postdoctoral fellowship scheme (CUHK) and an Earmarked Grant from the Research Grant Council of Hong Kong. Research of the first author was also supported by the National Natural Science Foundation of P. R. China (Grant No. 10361008) and the Natural Science Foundation of Yunnan Province, P. R. China (Grant No. 2003A002M).     

Banach 空间中奇异积分-微分方程边值问题多解的存在性

通过建立一个特殊的锥,运用锥拉伸与锥压缩不动点定理,获得了Banach空间中一类非线性混合型奇异积分-微分方程边值问题多解的存在性．     

Properties of the normed cone of semi-Lipschitz functions

Summary We obtain several properties of the normed cone of semi-Lipschitz functions defined on a quasi-metric space (X,d) that vanish at a fixed point x₀∈X. For instance, we prove that it is both bicomplete and right K-sequentially complete, and the unit ball is compact with respect to the topology of quasi-uniform convergence. Furthermore, it has a structure of a Banach space if and only if (X,d) is a metric space.     

二阶脉冲微方程三点边值问题解的存在性

We study the existence of solutions to the second order three-point boundary value problem: where 0 <η< 1, α∈R, and f : [0, 1]×R×R→R, Ii: R×R→R, Ji : R×R→R(i=1,2,…k) are continuous. Our results is new and different from previous results. In particular, we obtain the Green function of the problem, which makes the problem simpler.