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LIPSCHITZ ESTIMATES FOR MULTILINEAR SINGULAR INTEGRALS,Ⅱ

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Acta Mathematica Scientia 2004年第2期24卷 291-300页

作者：陆善镇孟岩吴强 department of mathematics Beijing Normal University Beijing 100875 China

In this paper, the authors study two classes of multilinear singular integrals and obtain their boundedness from Lebesgue spaces to Lipschitz spaces and from Herz type spaces to central Campanato spaces. Moreover, the... 详细信息

关键词： Multilinear singular integral Lipschitz space Herz space central Campanato space

The Lifetime of Diffusion Processes with Application to Conditioned Diffusions

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Acta Mathematica Sinica,English Series 1998年第3期14卷 381-384页

作者： Wang Fengyu department of mathematics, beijing normal university, beijing 100875, china Email: wangfy@*** 北京师范大学数学系北京

Let τ_D denote the lifetime of a diffusion process on domain DR^d. This paper presents a sufficient condition for the exponential moment of τ_D to be finite. Here, both of the domain and the diffusion operator are g... 详细信息

关键词： Lifetime Diffusion process Conditioned diffusion

AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES

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Acta Mathematica Scientia 2010年第1期30卷 148-160页

作者：杨柱元杨宗文刘永平 School of mathematics and Computer Science Yunnan Nationalities University department of mathematics Yunnan University department of mathematics Beijing Normal University

The article concerns the average onesided widths of the Sobolev and Besov classes and the classes of functions with bounded moduli of smoothness. The weak asymptotic results are obtained for the corresponding quantities.

关键词： average onesided widths Sobolev classes Besov classes

ENUMERATING ROOTED EULERIAN PLANAR MAPS

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Acta Mathematica Scientia 2001年第3期21卷 289-294页

作者：蔡俊亮郝荣霞刘彦佩 department of mathematics Beijing Normal University Beijing 100875 China department of mathematics Northern Jiaotong University Beijing 100044 China

This paper provides the number of combinatorially distinct general rooted Eulerian planar maps with the number of edges and the valency of rooted vertex of the maps as. two parameters. It is also an answer to open pro... 详细信息

关键词： Eulerian map functional equation Lagrangian inversion

THE EQUILIBRIA OF THE SIZE STRUCTURED POPULATION MODEL

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Journal of Systems Science & Complexity 2003年第1期16卷 19-29页

作者： HUANGHaivang LIULaifu departmentofmathematics BeijingNormalUniversityBeijing100875China

In this paper the existence and stability of the positive equilibrium of the size-structured population model are proved by Rabinowitz's theorem and the local linearization *** result here shows that near the bifurcation point where a branch of positive equilibria appears,the stability of the positive equilibrium on the branch is dcpendent on the direction of the *** argument for the model of age-structured population is generalized in this paper.

关键词：整体模型系统建模平衡方程线性化方法分岔稳定性 Size-structured population

A trust region algorithm for bilevel programing problems

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Chinese Science Bulletin 1998年第10期43卷 820-824页

作者： LIU Guoshan 1, HAN Jiye 2 and WANG Shouyang 3 1. department of mathematics, beijing normal university, beijing 100875, china 2. Institute of Applied mathematics, Chinese Academy of Sciences, beijing 100080, china 3. Institute of Systems Science, Chi department of mathematics Beijing Normal University Beijing China Institute of Applied mathematics Chinese Academy of Sciences Beijing China Institute of Systems Science Chinese Academy of Sciences Beijing China

A trust region algorithm is proposed for solving bilevel programming problems where the lower level programming problem is a strongly convex programming problem with linear constraints. This algorithm is based on a tr... 详细信息

关键词： bilevel programming problem trust region algorithm global convergence.

BOUNDEDNESS AND CONVERGENCE FOR THE NON-LINARD TYPE DIFFERENTIAL EQUATION

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Acta Mathematica Scientia 2007年第2期27卷 338-346页

作者：赵丽琴 department of mathematics beijing normal university

In this article, the author studies the boundedness and convergence for the non-Liénard type differential equation {^·x=a（y）-f（x）,^·y=b（y）β（x）-g（x）＋e（t）,where a（y）, b（y）, f（x）, g（x）,β（x） are real continuous functions in y ∈ R or x ∈ R, β（x） ≥ 0 for all x and e（t） is a real continuous function on R^＋ = {t ： t ≥ 0} such that the equation has a unique solution for the initial value problem. The necessary and sufficient conditions are obtained and some of the results in the literatures are improved and extended.

关键词： Boundedness convergence differential equation

STATIONARY SOLUTION FOR A STOCHASTIC LINARD EQUATION WITH MARKOVIAN SWITCHING

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Acta Mathematica Scientia 2005年第1期25卷 95-104页

作者：席福宝赵丽琴 department of mathematics beijing Institute of Technology Beijing 100081 China department of mathematics beijing normal university Beijing 100875 China

This paper considers a stochastic Lienard equation with Markovian switching. The Feller continuity of its solution is proved by the coupling method and a truncation argument. The existence of a stationary solution for... 详细信息

关键词： Coupling truncation feller continuity stationary solution

Endpoint estimates for a class of multilinear oscillatory singular integral operators

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Progress in Natural Science:Materials International 2002年第11期 15-21页

作者： LU Shanzhen and MENG Yan(department of mathematics, beijing normal university,beijing 100875, china) department of mathematics Beijing Normal UniversityBeijing 100875 China

Some endpoint estimates for a class of multilinear oscillatory singular integral operators are considered and their bound-ednessfrom Hardy space H1 ( R") to Lebesgue space L1 ( R" ) and from Her z-type Hardy space are... 详细信息

关键词： multilinear oscillatory singular integral Hardy space Herz space atom BMO.