数学季刊

Goldbach 数的例外集合(IV)

陈景润, 刘建民

1990, 5(4): 1-10.

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This paper is continuous of paper [1] and give whole proof process of B(x)=0(z⁰.95).

W-度与T-度的结构差别(Ⅱ)

眭跃飞

1990, 5(4): 11-18.

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In this paper,we mainly discuss the difference between T-minimal pairs and W-minimal pairs that there exist r.e.sets A,B such that their W-degrees form minimal pair,but their 7'-degrees cloes not form minimal pair.Moreover,the similar conclusion holds between the contiguous degrees and T-degrees with USP.

二阶泛函微分方程解的渐近性质

崔宝同

1990, 5(4): 19-23.

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This paper discusses the asymptotic property and nonoscillations of the solutions of second order nonlinear functional differential equations ... .

高阶非线性双曲型拋物型耦合方程组的周期边界问题和初值问题

陈国旺

1990, 5(4): 24-33.

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本文研究了广义Sine—Gordon型非线性高阶双曲方程组、高阶非线性拟双曲型方程组、高阶非线性拟抛物型方程组以及高阶非线性Schrodinger型方程组的耦合方程组的周期边界问题和初值问题。证明了此耦合方程组的周期边界问题和初值问题整体广义解和整体古典解的存在性、唯一性和光滑性。

非线性约束条件下的梯度投影—可行方向法

高自友

1990, 5(4): 34-41.

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In this paper,we give a new convergent algorithm with parameters for nonlinear programming with nonlinear constraints.This algorithm belongs to gradient projection and feasible direction type mcthods.This algorithm is more practical than the previous gradient projection type algorithms for nonlinear programming with nonlinear constraints.

Hölder不等式的推广及其应用

郝稚传

1990, 5(4): 42-47.

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C*-代数KK-理论中的Puppe列

张永平

1990, 5(4): 48-50.

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In this paper,we discuss the relation betwcen the KK-groups for two C*-Algcbras and the mapping cone.And show that there cxists a six-term puppe sequence.

高阶KdV向量场X₂的Lax组的非线性化

魏志强

1990, 5(4): 51-53.

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In this paper,we investegate the nonlinearization of the Lax equation for the higher order Kdv vector field X₂under the Bargmann's constraint.We have proved that the solution variety of the spatial part of the Lax equation is an invariant set of the flow determined by its time part.

有限R-平凡P-半群的分类

朱聘瑜

1990, 5(4): 54-59.

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The main result of this paper is that there are fourclasses of R-trivial P-semigroups and ten R- trivial P-semigroups,whose order dose not exceed 5.

具正负系数的中立型微分方程解的渐近性质

刘光耀

1990, 5(4): 60-65.

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In this paper,the asymptotic behavior of nonoscillatory solutions for the neutral differential equations ... are discussed,where p,q,T,T,α,δ are real constands.

超积拓扑有序域

张翔, 孙怀宪, 黄小平

1990, 5(4): 66-71.

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指数型整函数(0,2m+1)插值算子的显表示式和在(-∞,+∞)上的一致收敛性

包那

1990, 5(4): 72-82.

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对有穷区间上的函数，用各种类型的插值算子来逼近的问题，人们已作了大量工作，获得了丰富的结果，近年来开始了无穷区间上的函数用指数型整函数插值算子来逼近的问题的研究(见文献[1]-[3].[5J[6]).对(0,M) 插值算子的研究，M=1,2 时见[6],M 是任意正整数者见[7][8].本文用不同于[7]、[8]的方法对M 为奇数的情形对这一问题进行研究，得到了一些结果.

Banach空间中的（E₁）拓扑与空间的同胚问题

游若云, 张文跃

1990, 5(4): 83-85.

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In this paper,we introduced the concept of (B₁) topology in Banach space,and gave the equivalent condition between (B₁) topology and norm topology.With the concept of (E₁) topology, the linear homeomorphism of a Banach space and a subspace of another Banach space was discussed, and a sufficient and necessary condition was given.

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一个非散度型的退化抛物型方程

邓聚成

1990, 5(4): 86-94.

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本文讨论非散度型的退化扩散问题(1) 主部是呈散度型的退化扩散问题已得到了广泛的研究(如见仁[1]),对于非散度型的退化抛物型方程,已有的工作甚少。[2]研究了φ(u)=u时的问题(1),得出其弱解的存在性,局部性,并讨论了唯一性。

用正交拉丁方构造两次幻方

李立

1990, 5(4): 95-101.

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起源于我国的幻方,自从费尔马提出幻立方的概念后,研究者多向高维方面发展。作者在[6]—[12]中曾探讨过幻方和幻立方的平方和相等性问题。本文提出了一个新的概念:两次幻方,给出了构成两次幻方的充分条件,并提供了一个构造2m阶和（2m+1）2阶两次幻方的方法。

幂群的结构及其相互关系

钟育彬

1990, 5(4): 102-106.

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The problem of upgrade has been emphsised with the development of fuzzy mathematics.The problem of upgrade on algebraic structure was considered in paper [1], and the concept of the hypergroup was raised.And then,the works were carried out in the paper [2]-[6].This paper gives some further description for hypergroup. The main work is concluded as follows:(1)Solving the structure of hypergroup on the cyclical group.(2)Relationship amang the associative hypergroups for group,normal subgroup and factor group is considered. (3) Relationship between hypergroup and ordinary group is descriped. (4) The problem of existence on maximal,maximun,minimun element for the hypergroup which satisfys certain restricted condition is considered.

φ-拓扑

时根保, 王戈平

1990, 5(4): 107-110.

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This paper studies a sort of topological spaces by introducing φ—factor,and discusses the sub- space and praduct spaces of the sort of topological spaces by using Galois theory.

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