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wuhan university Journal of Natural sciences 2000年第4期5卷 379-385页

作者： yu chang-an college of mathematics and computer science, wuhan university, wuhan 430072,china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

In this paper, we obtain an explicit formula of general solution for a class of the non-homogeneous recurrence of variable coefficients with two indices.

关键词： two indices variable coefficients non homogeneous recurrence explicit solution

DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES

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Chinese Annals of mathematics,Series B 2000年第2期21卷 211-216页

作者： MEI TAO(college of mathematics and computer sciences, wuhan university, wuhan 430072, china.) LIU PEIDE(college of mathematics and computer sciences, wuhan university, wuhan 430072, china.) college of mathematics and computer sciences Wuhan University Wuhan 430072 China

The authors establish a kind of inequalities for nonnegative submartingales which depend on two functions　ψ and ψ, and obtain the equivalent conditions for　Φ and ψ such that this kind of inequalities holds. In t... 详细信息

关键词： Matingale Nonnegative submartingale Maximal function Φ-function inequality

A RCK Model with Endogenous Fertility and Exogenous Technological change

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wuhan university Journal of Natural sciences 2000年第2期5卷 137-142页

作者： CAI Dong han college of mathematics and computer science, wuhan university, wuhan 430072, china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

The technological change as an exogenous variable is introduced into the RCK model with endogenous fertility in this paper. It is proved that the model has at least a nonzero steady state and the nonzero steady state is unique when the parameters satisfies some conditions. By phrase protrait analysis, the unique nonzero steady state is saddle and the economy has a unique optimal growth path. The results obtained implies that the relationship between the technological change and population growth rate determinated by the economic structure and the parental ethies. For the economy in which the parents is selfish, promoting the technological change rate decreases the fertility at the steady state. On the other hand, for the economy in which the parents is less selfish, the fertility increases as the technological change rate increases.

关键词： C K model fertility technological change economic growth

Existence of Single-Peaked Solution of a Semilinear Elliptic Problem

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wuhan university Journal of Natural sciences 2000年第4期5卷 386-390页

作者： Zhong Xin-hua college of mathematics and computer science,wuhan university,wuhan 430072,china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

We discussed the Dirichlet problem of semilinear elliptic equation (P β,ε):β 2Δu=u p +εu,u>0, in Ω;u=0, on ?Ω, where Ω?R N (N≥4) is smooth and bounded domain, ,β,ε>0. We have proved that there exist positiveε 0 andε 1, such that when 0?ε?ε 0,β>√ε 1, (P β,ε) has a single-peaked solutionu β,ε; furthermore, |?u β0|2?0 in the sense of measure as ε→0 and β→0.

关键词： semilinear critical growth single-peaked solution

Important Properties of Alternating Group A_6

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wuhan university Journal of Natural sciences 1999年第4期4卷 404-408页

作者： HUANG Ben wen college of mathematics and computer science, wuhan university, wuhan 430072, china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

By using electric computer machine, via computation method, we obtained some important properties of alternating group A \{6\} as below: 1) A \{6 \} has 501 subgroups in total, and for each subgroup we give its generators; 2) the index of A \{6\}'s subgroup can only be 1,2,3,4,5,6,8,9,10,12,18,24,36,60,360; 3) all subgroups of A \{6\} are separated into 22 conjugate classes, and the subgroups contained in each class are listed.

关键词： alternating group subgroup computer program

Projection and Contraction Methods for Nonlinear Complementarity Problem

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wuhan university Journal of Natural sciences 2000年第4期5卷 391-396页

作者： Zhao She-feng, Fei Pu-sheng college of mathematics and computer science,wuhan university,wuhan 430072,china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

We applied the projection and contraction method to nonlinear complementarity problem (NCP). Moveover, we proposed an inexact implicit method for (NCP) and proved the convergence.

关键词： nonlinear complementarity problem projection and contraction method implicit method

Characterization of Uniform PL-convexity of Complex Banach Space by Functions with Two Variables

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wuhan university Journal of Natural sciences 1999年第4期4卷 399-403页

作者： HUANG Hai jun,LIU Pei de (college of mathematics and computer science, wuhan university, wuhan 430072,china) wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

We give a new characterization ofq-uniform PL-convexity of complex Banach space by using the existence of a kind of functions with two variables and then prove a sharp weak (1, 1)-type inequality for analytic martinga... 详细信息

关键词： analytic martingale uniform PL convexity mean square operator

Some Clifford Martingale Spaces

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wuhan university Journal of Natural sciences 2000年第2期5卷 127-130页

作者： MEI Tao,LIU Pei de college of mathematics and computer science, wuhan university, wuhan 430072,china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

We study the spacesH p, Sp, Kp, Σ p and

关键词： martingale space clifford martingale maximum operator

The Numerical Method of Inversion for the Interior Radon Transform

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wuhan university Journal of Natural sciences 2000年第2期5卷 143-146页

作者： WANG Jin ping, DU Jin yuan college of mathematics and computer science, wuhan university ,wuhan 430072, china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

The interior Radon transform arises from a limited data problem in computerized tomography. The corresponding operator R is investigated as a mapping between wightedL 2-spaces. Our result is the explicit construction of a singular value decomposition for R. This immediately leads to an inversion formula by series expansion and range characterizations.

关键词： Key words the interior Radon transform eigenproblem inversion

The Global Stability of Predator-Prey System of Gause-Type with Holling Ⅲ Functional Response

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wuhan university Journal of Natural sciences 2000年第3期5卷 271-277页

作者： Feng Jian\|wen, Zen Xian\|wu college of mathematics and computer Sicence, wuhan university, wuhan 430072,china college of mathematics and computer Sicence Wuhan University Wuhan 430072China

This paper deals with the questio n of global stability of the positive locally asymptotically stable equilibrium in a class of predator\|prey system of Gause\|typ e with Holling Ⅲ functional response. The Dulac's c... 详细信息

关键词： global stability functional response predtor\|prey system limit cycle