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中文
Table of Content
30 June 1997, Volume 12 Issue 2
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Generators of Rings of Differential Operators on a Class of k-algebras
Liu Haixia, Wang Mingsheng
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.
The Median Formula and Related Inequalities in n-simplex
Wang Weidong
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.
T
2
Separation Subsets and T
2
Separateness in L-fuzzy Topological Spaces
Meng Guangwu
1997, 12(2): 11-18.
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The concept of α-CT
2
separation 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-CT
2
separateness in N-compact spaces and N-paracompact spaces.
An Improvement of the Veljan-Korchmàros Inequality
Leng Gangsong
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.
On Integrated Solutions to Abstract Cauchy Problem
Zhang Shenghai
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].
Fractional Derivatives of Holomorphic Functions on Bounded Symmetric Domains of C
n
Guo Jidong
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.
A Note on the Bloch Function in SCV
Liu Hao
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.
On the k-smoothness and k-strong Smoothness
Fang Xinian, Wang Yuanzheng
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.
A Class of Cauchy Problems for Porous Medium Equations with Strongly Nonlinear Sources and Convections
Li Haifeng
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.
Weighted Boundedness for Generalized Maximal andSingular Integral Operators in Orlicz-Morrey Spaces
Liu Lanzhe
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-matrices and Several Necessary and Sufficient Conditions
Wang Shuyu
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.
Approximation Properties of a Special Class of Mathematical Expectation Operators
Chen Limin
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.
Two Generating Mappings ω
L
and l
L
in Complete Lattices TVS and LFTVS
Yan Conghua
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.
Estimation for the Dilatation of the Generalized Beurling-Ahlfors' Extension
Jiang Tianquan, Zheng Xueliang
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.
The Pointwise Characterizations of Fuzzy Ideals and Fuzzy Prime Ideals
Zhang Chengyi
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。
Again Sharpening of a Negative ExponentGeometric Inequality in the Space E
n
Zhang Hanfang
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 E
n
. 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 d
1
,d
2
,...,d
n+1
and r.
A Kind of Nonconvex-valued Functional Differential Inclusions Problems
Liu Xiaohua, Wang Zhihua
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.
A Note on P-Sasakian Manifold#br#
Yang Mingsheng, Zhang Ming
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.
One Extended Theorem is Applied to Ordinary Differential
Zhao Lingling, Xiao Xiuzhi
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.
The Problem of Periodic Solutions fora Class of Dynamical System(Ⅱ)
Zhang Zhiping
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.
Exact Sequence and Commutative Diagrams of Semimodule Homomorphism
Xiao Zechang
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.