数学季刊

刘小松, 刘太顺

2003, 18(3): 221-229.

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In this paper ,we introduce the generalized Roper-Suffridge extension operator for locally bi- holomorphic mappings．It is shown that this operator preserves the starlikeness on some Reinhardt do- mains and does not preserve convexity for some cases ．Meanwhile ,the growth theorem and distortion theorem of the corresponding mappings are given .

“有关代数微分方程的Gackstatter和Laine的猜测”的补充

高凌云

2003, 18(3): 230-233.

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This paper investigates the form of complex algebraic differential equation with admissible meromorphic solutions and obtains two results which are more precise that n that of the paper［2］．

∂_b-方程的C^s+α_p,q-形式解及其L^s_p,q估计

马忠泰

2003, 18(3): 234-241.

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In this paper，by using holomorphic support function of strictly pseudoconvex domain on Stein manifolds and the kernel defined by DEMAILY J P and Laurent Thiebaut，we construct two integral
operators T_qand S_q which are both belong to C(∂D）and obtain integral representation of the solu-
tion of（ p q）-form ∂_b-equation on the boundary of pseudoconvex domain in Stein manifolds and the
L^s_p,q extimates for the solution .

二元紧支撑正交小波的构造

杨建伟, 张玲玲

2003, 18(3): 242-246.

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For a given compactly supported scaling function supported over［0，3］×［0，3］，we present an algorithm to construct compactly supported orthogonal wavelets ．By this algorithm ，the symbol function of the associated wavelets can be constructed explicitly .

在一种扩展多层感知器模型中实现命题知识的语义推演

黄天民, 裴峥

2003, 18(3): 247-257.

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The paper presents an extension multi-layer perceptron model that is capable of representing and reasoning propositional knowledge base．An extended version of propositional calculus is developed and its some properties is discussed．Formulas of the extended calculus can be expressed in the extension multi-layer perceptron ．Naturally semantic deduction of propositional knowledge base can be imple- ment by the extension multi-layer perceptron and by learning an unknown formula set can be found .

一类全纯映射的增长性

杨乔, 裘敬华

2003, 18(3): 258-263.

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In this paper we discuss some properties of holomorphic maps between Kahler manifolds with certain curvature restrictions.

凸度量空间中单值和集值映象的公共不动点定理

梁俊奇, 张志宏, 赵玲

2003, 18(3): 264-270.

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Under the conditions of compatility or sub-compatility between a sigle-valued mapping and set-valued mapping ,this paper discusses the existence of common fixed points for two set-valued map- pings and a single-valued mapping in complete ,convex matric spaces． We extend and develop the main results .

关于p叶近于凸性的充分条件

徐能

2003, 18(3): 271-275.

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Let A_p（n）（p , n ∈ N ＝｛1,2,…｝） denote the class of functions of the form ... analytic in the unit disc E ＝｛z ：|z |＜ 1｝．By using the method of differential subordinations we give some sufficient conditions for a function f（z）∈ A_p（n）to be a certain subclass R_p（n,k）of p-valently close-to-convexity functions .

截断型分布族参数经验Bayes检验的收敛速度

师义民, 师小琳, 李科学

2003, 18(3): 276-282.

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In this paper ,we construct the empirical Bayes test （EBT）for the parameter of the truncat - ed-type distribution families． It is found that the proposed test is asymptotically optimal． The conver- gence rate of the EBT is given .

一个n有序集组的计数问题

王景周, 张海模

2003, 18(3): 283-285.

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In this paper we discuss the counting problem of an order n-group of set（ A ₁,A ₂,… ,A_n）which satisfies … ．We solve these problems by element analytical method.

关于正规δθ-可加空间的逆极限

曹金文

2003, 18(3): 286-290.

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This paper proves the following results：Let X ＝l σ,π,Λ} ,|Λ|= λ,and every pro-
jection πσ：X → Xσbe an open and onto mapping．（A）If X is λ-paracompact and every X σis normal and δθ-refinable，then X is normal and δθ-refinable；（B）If X is hereditarily λ-paracompact and every X σis hereditarily normal and hereditarily δθ-refinable， then X is hereditarily normal and hereditarily δθ-refiable .

减少直接法计算量的探讨

杜太生, 肖泽昌

2003, 18(3): 291-296.

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The general interpolation mentioned in this article provides an effective way for reducing the amount of calculation of direct optimal exploration．It has been testified by real case calculations that the interpolation is not only reliable but also can save the amount of calculation by nearly 36％．Large amount of calculation and lacking strict theoretical basis has been the two disadvantage of direct method by new ．If this defect is not overcome they will not only seriously affect the application of this method but also hinder its further research．Based on sufficient calculation practice this article has made a primary discussion about the theory and method of reducing the amount of calculation and has achieved some satisfactory results.

超关系R_i的性质

米洪海, 闫广霞

2003, 18(3): 297-301.

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In this paper we discuss the basic properties of hyper relation Ri ,which is upgraded from the base relation R．The relationship between Ri and R is considered.

Boltzmann-Poisson方程组初边值问题的整体弱解

徐继军, 郭瑞强, 崔国忠

2003, 18(3): 302-309.

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In this paper the global existence of weak solutions to the initial boundary value problem for Boltzmann-Poisson system is proved． The proof is based on the regularization and the stability of the velocity averages and the compactness results on L 1-theory .

Klein-gordon方程和广义Schrödinger方程的解析解

吴景珠, 段广森

2003, 18(3): 310-314.

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Analytic solutions of Klein-gordon equation u_tt －（ u_xx＋ u_yy）+ α²u ＋ g（ uu ^∗ ) u ＝ 0 and generalized Schrödinger equation iu_t ＋ u_xx － u_yy ＋ g（ uu ^∗ ) u ＝ 0 are given when g（ z ）＝ Aln²z ＋ Blnz ＋ C .

Vilenkin群上Morrey空间里的算子有界性

王月山, 朱秀阁

2003, 18(3): 315-319.

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Let G be a locally compact Vilenkin group ．We will establish the boundedness in Morrey spaces Lp ,λ（ G）for a large class of sublinear operators and linear commutators .

两部件串联维修系统解的定性分析

郭卫华, 杨明增

2003, 18(3): 320-327.

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In this paper firstly we study the series maintenance system with two components obtain its ex sistence and uniqueness of a dynamic state nonnegative solution by strongly continuous semigroups of operators theory．Then we prove that 0is the eigenvalue of the system ’s host operators and finally we study the eigenvector of the eigenvalue 0.

对流方程的两个高精度差分格式

杨辉

2003, 18(3): 328-330.

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This paper gives two patterns of high exact difference in solving convection equation．The error of cut section is to O(Δt² + Δx⁴）.

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