数学季刊

乔志军

1997, 12(1): 1-3.

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The Dirac hierarchy of isospectral evolution equations associated with the Dirac spectral problem are studied in this paper. The commutator representations of Dirac hierarchy are first presented, and then through the nonlinearization of Lax pair the involutive solutions of Dirac hierarchy are obtained.

两类六边形图的优美性

杨燕昌, 王广选

1997, 12(1): 4-12.

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In the paper,we construct two families of the hexagonal graphs G₁(n)and G₂(n),and prove their gracefulness.

V⁽²⁾中可合元素的一个判断标准

朱忠南

1997, 12(1): 13-17.

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In this paper, a criterion of decomposable element in V⁽²⁾is obtained , i. e.,... is decomposable if and only if its adjacent coordinate matrices are all "row 1≤i≤j≤n commute" equivalent.

半线性周期抛物边值问题的渐近性

冯秀芳, 杨万利

1997, 12(1): 18-24.

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We study a class of semilinear periodic-parabolic boundary value problem with small diffusion coefficients,give its asymptotic behavior when the diffusion cofficients go to limit zero.

关于一类π-逆半群的特征

乔占科, 何万生

1997, 12(1): 25-29.

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As a generalization of strongly π-inverse semigroups given in [1],the notion of strongly right π-inverse semigroup is introduced and some of its characterizations are given. A necessary and suffiient condition is obtained for the class of strongly right π-inverse semigroups.

关于双重MS-代数的滤子

方捷

1997, 12(1): 30-34.

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Here some properties on filters of double MS-algebras are descripted. We show that,for a normal filter F of a double MS-algebra (L;0, + )(x,y) ∈θ(F) (a,b ∈ F) (x ∧α)∨b+= (y ∧ a)∨ b+.

一类四阶非线性奇摄动问题

莫嘉琪, 刘树德

1997, 12(1): 35-37.

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A class of fourth order singularly perturbed boundary value problems are studied. The existence of solution and its uniformly valid asymptotic estimation are obtained.

变系数中立型方程的振动性

周勇

1997, 12(1): 38-42.

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Consider the neutral equation with variable coefficients dt[x(t) - P(t)x(t - γ)] + Q(t)x(t -σ) =0 where P,Q∈C[[t₀,,∞),R+] and σ,∈R+. We obtain some new sufficient conditions for the oscillation of soutions of the.abave equation without the restriction:0<= P(t)<=1 or P(t)>= 1.

一类周期系数的微分方程的周期解

冯兆生, 费树岷

1997, 12(1): 43-46.

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In the present paper we are concerned with the following differential equation with pcriodic coefficients y' = f(t,y) = A(t)y" + B(t)y + C(t) (m>=2,m ∈N) (1)and obtain the theorems for the existence and the number of equation (1). Our results extend and improve the corresponding ones in [1,4].

偏序集基数幂的半模性

胡长流

1997, 12(1): 47-51.

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Let X,Y be any posets,the semimodularity of cardinal power YX with base Y and exponent X is studied. Some necessary or sufficient conditions for YX to be semimodular are gaven.

人口问题中一广义扩散模型第一边值问题的有限差分法

郭秀兰, 李国强

1997, 12(1): 52-60.

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The solution of nonlinear parabolic equation arising from population dynamics with boundary and initial value are established by the finite difference method,as well as it denotes the unique generalized global solution.

亚投射模、张量积和极限

冯良贵

1997, 12(1): 61-64.

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In this paper twe prove that the inverse limit of metra-projective modules (meta-injective modules resp. ) is also meta-projective (meta-injective resp. ). Let K be a field R_1, R₂ be K-algebras, we also obtain a sufficient condition for lgldim (R₁ R₂,)≥lgldim R₁+lgldimR₂, and wgldim (R₁ ) ≥wgldimR₁ +wgldimR₂ .

BCI-代数诣零理想的若干特征

黄文平, 徐少贤

1997, 12(1): 65-69.

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Some properties of nil ideals in BCI-algebras are discussed. The notion of k-associative BCI-algebras which is a generalization of associative and quasi-associative BCI-algebras is introduced. Moreover,several characterizations of k-associative BCI-algebras are given.

四元数射影空间的全实极小子流形

舒世昌, 贾兴琴

1997, 12(1): 70-75.

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Some curvature pinching theorems for compact or complete totally real minimal submanifolds in a quaternion projective space are given,so that the corresponding results due to B. Y.Chen and C. S. Houh as well as Y. B. Shen are improved and generalized.

一类椭圆型方程的正解

袁俭

1997, 12(1): 76-80.

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This paper discussed the uniqueness of the positive solution for a semilinear elliptic problem with critical exponent.

自反Banach空间中非线性隐补问题的解的存在性

曾六川

1997, 12(1): 81-86.

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In this paper,we prove existence results of soutions for the nonlinear implicit complementarity problems NICP(T,S,K) where K is a closed weakly locally compact convex cone in a reflexive Banach space E,T is a nonlinear operator from K into E* (i. e.,the dual space of E) and S is a nonlinear operator from K into E. Our results are the essential improvements and extension of the results obtained previously by several authors including Thera,Ding,and Zeng.

关于四元数矩阵方程AX=B的最小二乘解

薛有才

1997, 12(1): 87-90.

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A norm of a quaternion matrix is defined. The expressions of the least square solutions of the quaternion matrix equation AX = B and the equation with the constraint condition DX = E are given.

关于Stone空间的最小基

白瑞蒲

1997, 12(1): 91-94.

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In this paper,first we define the concept of strong open set for topological space. Then we prove: 1 ) a distributive lattice L possesses the smallest set of generating elements if and only if the Stone space (L) of L possesses a smallest base constructed by strong open sets; 2) a Bollean lattice B possesses the smallest set of generating elements if and only if B is a finite Boolean lattice.

半序空间中集值复合增算子的不动点原理

杨新华

1997, 12(1): 95-97.

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In this paper,we give a fixed point theorem for multi-valued composite increasing operators,in partially ordered spaces,which generalizes the results of [1]-[3] and [5]- [8].

Finsler几何中的无挠联络

郭瑞芝

1997, 12(1): 98-103.

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We introduce a fundamental connection in Finsler geometry,which is torsion-free and almost compatible with the induced metric. We give the difference between this connection and other known connections.

广义循环模糊矩阵的行向量小周期

冼国荣, 陈卓荣

1997, 12(1): 104-110.

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In this paper,we intreduce the concept and discuss the properties of minimum cycle of row vector in a generalized circulant Fuzzy matrix. We present a new expression for circulant Fuzzy matrix,and discuss some properties of the idempotent elements of the semigroup of generalized circulant Fuzzy matrixes in connection with minimum cycle of row vector.

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