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A NOTE ON THE GENERALIZED RIEMANN PROBLEM~*

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Acta math.matica Scientia 1991年第3期11卷 283-289页

作者：李大潜 dept. of math. Fudan Univ Shanahai China

1. Introduction The Riemann problem for the quasilinear hyperbolic system of conservation laws

关键词： A NOTE ON THE GENERALIZED RIEMANN PROBLEM

THE NATURAL BOUNDARY OF SOME RANDOM POWER SERIES

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Acta math.matica Scientia 1991年第4期11卷 463-469页

作者：孙道椿 dept. of math. Wuhan University Wuhan China

Suppose that {X(n)(omega)} are independent random complex variable sequence, E(X(n)) = 0 and [GRAPHICS] (V(X(n) = sigma(n)2). If reversed capital E-epsilon > 0 such that for all P (H) > 1-epsilon, we have [GRAPHICS] T... 详细信息

关键词： Th THE NATURAL BOUNDARY OF SOME RANDOM POWER SERIES

Heteroscedasticity check in nonlinear semiparametric models based on nonparametric variance function

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Applied math.matics(A Journal of Chinese Universities) 2008年第4期23卷 401-409页

作者： QU Xiao-yi LIN Jin-guan dept. of math. Southeast Univ. Nanjing 210096 China

The assumption of homoscedasticity has received much attention in classical analysis of regression. Heteroscedasticity tests have been well studied in parametric and nonparametric regressions. The aim of this paper is to present a test of heteroscedasticity for nonlinear semiparametric regression models with nonparametric variance function. The validity of the proposed test is illustrated by two simulated examples and a real data example.

关键词： heteroscedasticity check nonlinear semiparametric regression model asymptotic normality nonparametric variance function

A CHARACTERISTIC OF RIEMANNIAN SPACES ADMITTING QUASI-CONCIRCULAR TRANSFORMATION

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Acta math.matica Scientia 1991年第1期11卷 56-64页

作者：李中林 dept. of math. Hangzhou University Hangzhou China

In this paper, we have considered some properties of quasi-umbilical hypersurfaces of a Riemannian space and obtained a characteristic of Riemannian spaces admitting quasi-concircular transformation.

关键词： A CHARACTERISTIC OF RIEMANNIAN SPACES ADMITTING QUASI-CONCIRCULAR TRANSFORMATION

THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

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Acta math.matica Scientia 1997年第1期17卷 44-50页

作者：莫嘉琪许玉兴 dept. of math. Anhui Normal University Wuhu 241000 China

In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansio... 详细信息

关键词： differential inequality singular perturbation asymptotic expansion elliptic partial differential equation boundary value problem

AN ANALYTICAL-NUMERICAL METHOD FOR A TYPICAL BIFURCATION PROBLEM

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Acta math.matica Scientia 1987年第3期7卷 241-246页

作者：饶传霞 dept. of math. Wuhan University

In this paper, the nonlinear two-point boundary vslue problem which has a secondary bifurcation point is solved by an anlyticnumerical *** problem was first transformed analytically into finding roots of the trascendental equation Then the turning point was obtained numerically, λc=1.87452030182. And the following three cases are all considered: the problem has two solutions, one solution or no solution, when λλc, *** steps for solving the problem and some results of numerical experiments are given in the paper.

关键词： AN ANALYTICAL-NUMERICAL METHOD FOR A TYPICAL BIFURCATION PROBLEM

1-quasiconformal mappings on a (2,2)-type quadric

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Applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 65-75页

作者： WU Qing-yan dept. of math. Zhejiang Univ. Hangzhou 310027 China

This paper gets the Beltrami equations satisfied by a 1-quasiconformal mapping, which are exactly CR or anti-CR equations on （2,2）-type quadric Q0. This means a 1-quasiconformal mapping on Q0 is CR or anti-CR. This reduces the determination of 1- quasiconformal mappings to a problem on the theory of several complex analysis. The result about the group of CR automorphisms is used to determine the unit component of group of 1-quasiconformal mappings.

关键词： Beltrami equation quasiconformal mapping quadric CR automorphism

Some notes on a conjecture of Zygmund

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 213-218页

作者： CHEN Jie-cheng ZHANG Chun-jie dept. of math. Zhejiang Univ. Hangzhou 310027 China

In this paper, some classes of differentiation basis are investigated and several positive answers to a conjecture of Zygmund on differentiation of integrals are presented.

关键词： Zygmund's conjecture differentiation of integrals maximal function.

SUBCRITICAL　ASYMPTOTIC　BEHAVIOR　IN　THE　MODIFIED　LUSHNIKOV　PROCESS　OF　POLYMERIZATION

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Acta math.matica Scientia 1996年第4期16卷 412-420页

作者：韩东 dept. of math. Univ. of Xinjiang Urumqi 830046 China

We consider a modified Lnshnikov process as a model of a chemical polymer ization anf study the asymptotic behavior (in the thermodynamic limit;as N →∞)of a particular probability distribution on the set of N-dimensional vectors,tile kth component of which is the number of *** study study establisles the existence of three stages (subcritical,near-critical and supercritical stages)of polymerization,dependenting upon the ratio of association and dissociation rates of f *** present paper concentrates on the analysis of tile subcritical *** the *** we show that tile size of the largest length of polymers of stize N is of the *** N as N →+∞.

关键词： Polymerization Markov process limit behavior stationary distribntion.