数学季刊

曾文艺, 米洪海

1996, 11(4): 1-5.

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In the paper [1]the upgrade of the structure of groups has been considered,in which the concept of HX group has been raised.In this paper we will discuss the direct product of HX groups and HX groups on direct product group.

On the Mean Value of the Infinite Order Legendre Series

王安斌

1996, 11(4): 6-12.

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In this paper,we studies the relations between the mean value and the maximun norm of the infinite order entire functions which defined by legendre series.We obtained that iff(z) is an infinite order entire function with a positive exponenatial lower order,then ...

Boundary Value Problems for Nonlinear Differential Equations of Second Order in Banach Spaces

崔长军, 刘衍胜

1996, 11(4): 13-18.

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Boundary value problems for differential equations in Banach spaces have a wide-ranging actul background(see [2]),S. Szufla([5])had proved an existence theorem for such problem. In this paper,we will improve his result and get a new existence theorem using Daher's fixed point theorem.

Complete Space-like Submanifolds in a de Sitter Space with Parallel Mean Curvature Vector

舒世昌

1996, 11(4): 19-24.

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Complete space-like submanifolds in a de Sitter Space with parallel mean curvature vec- tor are investigated,a main Theorem forM to be totally umbilical is obtained.

Generalized Contact Manifolds

徐旭峰, 孙振祖

1996, 11(4): 25-29.

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We study a Riemannian manifolds M with a f-structures.If the tangent bundle of the Riemannian manifolds is TM=DDdimD=2P,dimD=q=n-2p≥1.We can define a gener- alized contact manifolds,get some property of it.

Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space

王卿文, 林春艳

1996, 11(4): 30-37.

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In this paper we derive a practical method of solving simultaneously the problem of Schmidt decomposition of quaternion matrix and the orthonormalization of vectors in a generalized unitary space by using elementary column operations on matrices over the quaternion field.

An Estimate for Distance Between Adjacent Zeroes of Solutions of Neutral Equations

周勇

1996, 11(4): 38-43.

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In this paper,we establish a new estimate for the distance between adjacent zeroes of the solution of the first order neutral differential equation

Atoms of Lattices of Supernil potent and Special Radicals

钟德强

1996, 11(4): 44-49.

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In this paper we define pure-supernilpotent radical and show that the class of all pure- aupernilpotent radicals forms a complete lattice.We discuss some open questions on lattices of su- pernilpotent and special radicals [5,6]and obtain some new results.

Forcing with Proper Classes

李娜

1996, 11(4): 50-53.

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This paper,using the model R△)-a generalized Boolean-valued model of the axiom sys- tem GB(see [3]),proves:(1)some properties of forcing;(2)two important theorems-Forcing Theorem and Generic Model Theorem(of GB);(3)discussing forcing with proper class.

Fixed Pcint Theorems for Increasing Operators of None-continuity and None-compactness Conditions

张庆政

1996, 11(4): 54-56.

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In this paper,the fixed point theorems of composite set-valued increasing operators are given.As a corollary,the fixed point theorem for increasing operator of none-continuity and none- compactness conditions is also given.Some relevant results are improved and generalized.

The Pre-test Principal Components: Estimator in the Two Seemingly Unrelated Regression System

归庆明

1996, 11(4): 57-61.

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For the two seemingly unrelated regression system,this paper proposed a new type of estimator called pre-test principal components estimator(PTPCE)and discussed somie properties of PTPCE.

Relaxation Phenomenon of the P-systems

李亦芳, 刘法贵

1996, 11(4): 62-66.

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In this paper we discuss the P-systems with relaxation,and prove that the relaxation plays the same roles as dissipation in the sense of maintaining smoothness of“small solution”.

Decomposable Multipliers on a Banach Algebra

李扬荣

1996, 11(4): 67-72.

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The author show that if A is a complex abelian Banach algebra with an identity,then the decomposability of T∈M(A),the set of all multipliers on A,implies that the corresponding multiplication operator T:M(A)→M(A) is decomposable;moreover,in the Hilbert algebras case the assumation that A is abelian and A has an identity can be released.Those results are partially answers to a question raised by K.B.Laursen and M.M.Neumann [5].

Completely Positive Definite Maps Over Topological*-algebras

许天周

1996, 11(4): 73-77.

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In this paper,we discuss completely positive definite maps over topological*-algebras.A Schwarz type inequality for n-positive definite maps,and the Stinespring representation theorem for completely positive definite maps over topological*-algebras are given.

L-fuzzy Ring and L-fuzzy Module

孙荣光, 姜保庆, 任学军

1996, 11(4): 78-80.

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Based on LF group theory¹],we introduce the concepts LF ring and LF module and disscuss their properties.

A Necessary and Sufficient Condition for Solvability of the Matrix Equation AXB+CYD=E Over an Arbitrary Skew Field

黄克明

1996, 11(4): 81-83.

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A necessary and sufficient condition for the consisten~y of the matrix equation AXB+CYD=E over an arbitrary skew field is given.Thus Roth's equivalence theorem is gener- alized.

B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems

刘德峰

1996, 11(4): 84-92.

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The concept of b-vex and logarithmic b-vex for fuzzy mappings are introduced by relax- ing the definition of convexity of a fuzzy mapping.Most of the basic properties of b-vex fuzzy map- ping are discussed and established for the nondifferentiable case.Necessary and sufficient condi- tions for b-vex fuzzy mapping are presented.Sevaral important results are given for nonlinear fuzzy optimization problems assuming that the objective and constraint functions are b-vex fuzzy map- pings.

The Problem of Periodic Solutions for a Class of Dynamical Systems (I)

张志平

1996, 11(4): 93-97.

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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.

On the Properties of the Solution of a Strongly Degenerate Parabolic Equation

程福霞, 李锐

1996, 11(4): 98-103.

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For a strongly degenerate parabolic equation,we first use the results of Ph.Blanc to get that the Neumann problem may not have a global classical solution.The reason is that the gradierts of some local classical solutions blow up in finite time.And under some conditions,we get the global integral solution by the use of seanigroup.Then,we give a sufficient condition under
which the Neumann problem has e global classical solution.Finally.we study the asymptotic be- haviour of the classical solution and prove that the solution converges to the mean of the initial value.

Graphlike Manifolds with the Type of the 1-skeleton of a 4-simplex

郭驼英

1996, 11(4): 104-105.

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On Certain Filters in Lattice Implication Algebras

刘军 , 徐扬

1996, 11(4): 106-110.

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Lattice implication algebras is an algebraic structure which is established by combining lattice and implication algebras.In this paper,we introduce the concept of I-feature filters and involutory filters in lattice implication algebras,and discussed some properties of them.Finally,the characterization of filters of any lattice implication algebra which satisfies.Increasing Chain Conditions (1.C.C) is given.

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