数学季刊

刘海霞, 王明生

1997, 12(2): 1-4.

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In this paper, we find an explicit method to calculate generators of rings of differential operators on a class of k-algebras.

n维单形的中线公式及相关不等式

王卫东

1997, 12(2): 5-10.

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In this paper,the median formula of n-simplex in n-Euclidean space En is proved,and using this formula,we obtain serveral inequalities related the median lines in n-simplex.

格值模糊拓扑空间的T₂分离子集和T₂分离性

孟广武

1997, 12(2): 11-18.

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The concept of α-CT₂separation L-fuzzy subsets in L-fuzzy topological spaces is presented by taking the stratiform structure of L-fuzzy subsets as the point of departure,and its basic characterizations and some topological properties are discussed,and the relation between it and other separateness is exposed,and the action is studied of α-CT₂ separateness in N-compact spaces and N-paracompact spaces.

关于Veljan-Korchmàros不等式的一个加强

冷岗松

1997, 12(2): 19-23.

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In this paper,a new upper bound for the volume of an n-dimensional simplex is given,which improves the well-known Veljan-Korchmros inequality.

抽象Cauchy问题的积分解

张升海

1997, 12(2): 24-28.

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Integrated semigroups which are not exponentially bounded have been studied. The integrated solutions of inhomogeneous and nonlinear abstract Caucby problems are discussed. The reults extends and improves the theorems in [1].

有界对称域Cⁿ上的解析函数

郭继东

1997, 12(2): 29-32.

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Let f∈H (B_n), f[β] denotes the βth fractional derivative of f, if ..., where B_n is the unit ball of C^n.

多复变Bloch函数的一点注记

刘浩

1997, 12(2): 33-35.

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In this paper,Bloch function in several complex variables is discussed,and a new characteristation of Bloch function in SCV is given.

关于k-光滑性与k-强光滑性

方习年, 汪远征

1997, 12(2): 36-41.

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In this paper, by normwe give a sufficient and necessary condition of k-smooth points and k-strong smooth points.

具有强非线性源和对流的多孔介质方程的一类Cauchy问题

李海峰

1997, 12(2): 42-50.

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In this paper we study existence of solutions of a class of Cauchy problems for porous medium equations with strongly nonlinear sources or absorptions and convections when the initial trace is a Radon measure μ on RN.

广义极大算子和奇异积分算子在Orlicz-Morrey空间中的加权有界性

刘岚喆

1997, 12(2): 51-57.

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In this paper,the weighted boundedness for the generalised maximal and singular integral operator in Orlicz-Morrey spaces are obtained.

E-矩阵及其几个等价条件

王淑玉

1997, 12(2): 58-61.

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In this paper,we define a kind of sguare matrices which is called E-matrices,and give several necessary and sufficient conditions for E-matrices.

一类数学期望算子的逼近性质

陈历敏

1997, 12(2): 62-69.

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In this paper we study the local measure of approximation of a class of special mathematical expectation operators to Lipschitz class of functions by probabilistic method. The some well known operators (e. g., the Bernstein, Bascakov and Szasz-Mirakjan operators etc) are special cases of a class of the mathematical expetation operators.

完备格TVS与LFTVS间的两个生成映射ω_L ， l_L

严从华

1997, 12(2): 70-74.

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In this paper,we give a new decomposition theorem of L-fuzzy sets. Then we use this theorem to discuss the relations between the crisp topological vector spaces and the L-fuzzy topological vector spaces[1],and we obtain some interesting properties.

广义Beurling-Ahlfors'扩张的伸张函数的估计

姜天权, 郑学良

1997, 12(2): 75-78.

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The Beurling-Ahlfors' extension is studied under relatively general conditions and its dilatation fonction is estimated. Particularly, the classic Deurling -Ahlfors' theorem can be obtained under the M-condition.

Fuzzy理想的点态刻化与Fuzzy质理想

张诚一

1997, 12(2): 79-85.

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In this paper,the auther programs and discusses the fuzzy subrings,fuzzy ideals generat- ed by fuzzy points。

Eⁿ中的一个负次几何不等式的再加强

张晗方

1997, 12(2): 86-89.

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Let P be arbitrary a point inside the simplex A in the n-dimensional Eucidean space Eⁿ . Let d be the distance from the point P to the correspondent hyperplane of vertex A_i of A.Let r denote the inradius of A. In this paper,we obtain a very strong negative eaponent geometric inequatity of contact with d₁,d₂,...,d_n+1 and r.

一类非凸值泛函微分包含问题

刘晓华, 王志华

1997, 12(2): 90-94.

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In this paper,we consider nonconvex-valued functional differential inclusions with nonlinear semigroups in Banach spaces,the existence of the integral solutions is proved.

关于仿Sasakian流形的一点注记

杨明升, 张明

1997, 12(2): 95-98.

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In this paper,we give a necessary and sufficient condition for a P-Sasakian manifold to be a SP-Sasakian manifold and prove a P-Sasakian manifold of constant curvature - 1 is a SP-Sasakian manifold.

一个推广了的定理在常微分方程中的应用

赵玲玲, 肖修治

1997, 12(2): 99-103.

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In the theory of Wiman-Valiron on entire function,a theorem on the derivatives of entire functions has important applications to differential equations. We had extended the theorem to the meromorphic functions which have finite poles. In this paper we give some applications to linner differential equations and algebraic differential equations.

一类动力系统的周期解问题（Ⅱ）

张志平

1997, 12(2): 104-107.

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In this paper, we consider the dynamical systems which are from a kind of Hamilton systems under a disturbance. We use theories in Liapunov stability,and show that there are not any periodic solutions in some a neibourhood of the equilibrium points of the dynamical systems.

半模同态*正合序列与交换图表

肖泽昌

1997, 12(2): 108-110.

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Throught the introduction of the concept * exact sequence,we set up several satisfied results of commutative diagrams of semimodule homomorphism.

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