检索结果-南通市图书馆

THE GPL-STABILITY OF RUngE-KUTTA METHODS FORDELAY DIFFERENTIAL SYSTEMS

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 2000年第1期18卷 75-82页

作者： Biao Yang Lin Qiu Jiao-xun Kuang(department of mathematics, Shanghai normal university, Shanghai 200234, china.) 上海师范大学上海 200234

Presents a study which dealt with stability of the implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations. Stability behavior of the methods; Exponential solutions of t... 详细信息

关键词： delay differential equation implicit Runge-Kutta methods GPL-stability

Some G-M-type Banach spaces and K-groups of operator algebras on them

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2004年第3期47卷 372-392页

作者： ZHOng Huaijie CHEN Dongxiao CHEN Jianlan department of mathematics, Fujian normal university, Fuzhou 350007, china 1. department of mathematics Fujian Normal University 350007 Fuzhou China

By providing several new varieties of G-M-type Banachspaces according to decomposable and compoundable properties, this paper discusses the operator structures of thesespaces and the K-theory of the algebra of the operators on these G-M-type Banach spaces throughcalculation of the K-groups of the operator ideals contained in the class of Riesz operators.

关键词： incompoundable Banach space, radical operator ideal, Banach algebra, K-theory.

Central limit theorem for the occupation time of catalyticsuper-Brownian motion

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第24期43卷 2035-2040页

作者： HOng Wenming department of mathematics, beij.ng normal university, beij.ng 100875, china Corresponding address: Institute of mathematics, Shantou university, Shantou 515063, china department of mathematics Beijing Normal University Beijing China

The catalytic super_Brownian motion has been considered. If both the catalytic medium process Q and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dim... 详细信息

关键词： branching rate functional Brownian collision local time catalytic super_Brownian motion occupation time central limit theorem.

Sufficient and Necessary Conditions for Stochastic Comparability of Jump Processes

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2000年第1期16卷 99-102页

作者： Yuhui Zhang department of mathematics,beij.ng normal university,beij.ng 100875,P.R.china department of mathematics Beijing Normal University Beijing 100875 P.R. China

This note is devoted to the study of the stochastic comparability of jump *** the basis of[2]and[3],it is proved that two jump processes are stochastically comparable if and only if their q-pairs are ***,the result co... 详细信息

关键词： Stochastically comparable Totally stable Conservative Uniqueness

Ergodicity of Reversible Reaction Diffusion Processes with General Reaction Rates

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 1994年第1期10卷 99-112页

作者： Chen Mufa Ding Wanding Zhu Dongjin department of mathematics beij.ng normal university beij.ng,100875 china department of mathematics Animi normal university Wuhu,241000 china 1. department of mathematics Beijing Normal University 100875 Beijing China 2. department of mathematics Anhui Normal University 241000 Wuhu China

In this paper,a class of reaction diffusion processes with general reaction rates is studied.A necessary and sufficient condition for the reversibility of this calss of reaction diffusion processes is given,and then t... 详细信息

关键词： Ergodicity of Reversible Reaction Diffusion Processes with General Reaction Rates

Optimal Markovian Couplings and Applications

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 1994年第3期10卷 260-275页

作者： Chen Mufa department of mathematics beij.ng normal university beij.ng,100875 china 1. department of mathematics Beijing Normal University 100875 Beijing China

This paper is devoted to studying a new topic:optimal Markovian couplings,mainly for time-continuous Markov *** study emphasizes the analysis of the coupling opera- tors rather than the *** constructions of optimal Markovian couplings for Markov chains and diffusions are presented,which are often ***,the results are applied to study the L^2-convergence for Markov chains and for a diffusion on compact *** estimate of the convergent rate provided by this method can be sharp.

关键词： Chen Optimal Markovian Couplings and Applications OMC

Nash Inequalities for General Symmetric Forms

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 1999年第3期15卷 353-370页

作者： Mufa Chen department of mathematics, beij.ng normal university, beij.ng 100875, P. R. china department of mathematics Beijing Normal University Beijing P. R. China

This paper deals with the Nash inequalities and the related ones for general symmetric forms which can be very much unbounded. Some sufficient conditions in terms of the isoperimetric inequalities and some necessary conditions for the inequalities are presented. The resulting conditions can be sharp qualitatively as illustrated by some examples. It turns out that for a probability measure, the Nash inequalities are much stronger than the Poincare and the logarithmic Sobolev inequalities in the present context.

关键词： Nash inequality Symmetric form Isoperimetric Inequality Jump process

Estimate of Exponential Convergence Rate in Total Variation by Spectral Gap

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 1998年第1期14卷 9-16页

作者： Chen Mufa department of mathematics, beij.ng normal university, beij.ng 100875, china 北京师范大学数学系北京

This note is devoted to study the exponential convergence rate in the total variation for reversible Markov processes by comparing it with the spectral gap. It is proved that in a quite general setup, with a suitable restriction on the initial distributions, the rate is bounded from below by the spectral gap. Furthemore, in the compact case or for birth-death processes or half-line diffosions, the rate is shown to be equal to the spectral gap.

关键词： Total variation Spectral gap Markov processes

Relations between Lipschitz functions and convex functions

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2005年第5期48卷 703-710页

作者： RUAN Yingbin department of mathematics, Fujian normal university, Fuzhou 350007, china Academy of mathematics and Systems Science, Chinese Academy of Sciences, beij.ng 100080, china 1. department of mathematics Fujian Normal University 350007 Fuzhou China 2. Academy of mathematics and Systems Science Chinese Academy of Sciences 100080 Beijing China

We discuss the relationship between Lipschitz functions and convex functions. By these relations, we give a sufficient condition for the set of points where Lipschitz functions on a Hilbert space is Frechet differenti... 详细信息

关键词： Lipschitz functions convex functions the Frechet differentiability.