Equivalence of generalized mixed complementarity and generalized mixed least element problems in ordered spaces

In this article, we derive some equivalences of generalized mixed non-linear programs, generalized mixed least-element problems, generalized mixed complementarity problems and generalized mixed variational inequality problems under certain regularity and growth conditions. We also generalize the notion of a Z-type map for point-to-set maps. Our results improve and extend recent results in the literature.     

Singular integral on bounded strictly pseudoconvex domain

Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.     

非线性椭圆边值问题在L~p空间中解的存在性

利用增生映射值域和的扰动理论,研究了一类与p有关的非线性椭圆边值问题在Lp(Ω) 空间中解的存在性,其中2 p <+∞.所讨论的方程及所用的方法是对以往一些工作的推广和补充.     

Disjointly homogeneous Banach lattices and compact products of operators

The notion of disjointly homogeneous Banach lattice is introduced. In these spaces every two disjoint sequences share equivalent subsequences. It is proved that on this class of Banach lattices the product of a regular AM-compact and a regular disjointly strictly singular operators is always a compact operator.     

On 1-rate and 2-rate multicast 3-stage Clos networks

The 3-stage Clos network C（n, m, r） is considered as the most basic and popular multistage interconnection network which has been widely employed for data communications and parallel computing systems. Quite a lot of efforts has been put on the research of the 3- stage Clos network. Unfortunately, very little is known for the multirate multicast Clos network which is the most complicated case. Firstly a sufficient condition for 1-rate multicast networks to be SNB is given, from which a result for 2-rate multicast networks to be WSNB can easily be gotten. Furthermore, by using a reservation-scheme routing, more specific result for 2-rate multicast networks to be WSNB can be obtained for the case of one of them exceeding 1/2.     

由停时所确定的事件域

本文对于Markov过程的自然滤子详细讨论了停时前以及严格停时前的事件域,并给出介于首中时和逃逸时之间的停时的刻画。     

求分块带状方程组的新算法

<正>1引言在网络,自动化理论,差分方程求解及逻辑电路等实际问题中,往往需要求解分块带状方程组HX=F(1)这里H=(H_(ij)_(n×n),其中     

Non-isotropic weighted L~p estimates for the -equation on piecewise smooth strictly pseudoconvex domains

In this paper we obtain non-isotropic weighted Lp estimates with the boundary distance weight function for the-equation on piecewise smooth strictly pseudoconvex domains under a hypoth- esis of complex transversality in Cn using the explicit formula of solutions by Berndtsson-Andersson.     

A Survey of One-Dimensional Random Polymers

In the last decade there has been an enormous progress in the mathematical understanding of one-dimensional polymer measures, which are path measures that suppress self-intersections. We are currently in the situation that many interesting questions have either been answered, or that essential new ideas are needed. In this survey paper, we discuss the most relevant results, open questions, and heuristics.