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Table of Content
30 December 1997, Volume 12 Issue 4
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On the Oscillation of the Fourth Order Differential Equations
Feng Binlu, Yu Yuanhong
1997, 12(4): 1-10.
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In the present paper sufficient conditions for oscillations and nonoscillations of a class of fourth order differential equations are obtained.
Some Results on Areally Mean Valent Functions
Wei Hanbai, Li Wanshe, Zhang Liang
1997, 12(4): 11-15.
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Let M be the class of areally mean univalent function, f ∈M and ... In this paper, we estimate the arithmetical mean of coefficients D
n
(λ) and the arithmetical mean of successive coefficients t
n
(λ) =||D
n+1
(λ)|-|D
n
(λ)||. Our results are sharp. In addition, we also generalize Hayman's theorem on integral mean
A Method to Prove Convergence of Some Nonlinear Differential Equation's Form Solution
Liu Jun, Zhu Qijing, Wu Haosheng
1997, 12(4): 16-19.
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A method to prove the convergence of some nonlinear differential equation's from solu tion and its existance.
On Primitive Idempotents of the Strong Endomorphism Monoid of a Graph
Li Weimin
1997, 12(4): 20-26.
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In this paper, we describe the canonical partial order on the idempotent set of the strong endomorphism monoid of a graph, and using this we further characterize primitive idem potenes from the viewpoint of combinatorics. The number of them is also given.
Discretized Multisplitting AOR Waveform Relaxation Algorithms for Initial Value Problem of Systems of ODEs#br#
Gu Tongxiang, Li Wenqiang
1997, 12(4): 27-35.
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The multisplitting algorithm for solving large systems of ordinary differential equations on parallel computers was introduced by Jeltsch and Pohl in [1]. On fixed time intervals conver gence results could be derived if the subsystems are solving exactly.Firstly,in theis paper,we deal with an extension of the waveform relaxation algorithm by us ing multisplittin AOR method based on an overlapping block decomposition. We restricted our selves to equidistant timepoints and dealed with the case that an implicit integration method was used to solve the subsystems numerically in parallel. Then we have proved convergence of multi splitting AOR waveform relaxation algorithm on a fixed window containing a finite number of timepoints.
On Inner π'-closed Groups with Operator Groups
Li Shiyu, Zhang Jingsong
1997, 12(4): 36-40.
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Let π be a set of primes and π'the complementary set of π.In this paper,the author ob- tains the structure of inner π²-closed groups with operator groupsin the case that π does not include 2 and also gives some characterization of such groups in the case that π include 2.
Stability of Linear Integrodifferential Systems with Time-varied Confficients with Large Scale
Jiang Liqiang, Ma Zhien
1997, 12(4): 41-45.
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In this paper, we concertrate our efforts on discuss asymptotic stability of linear inte grodifferential systems with time-varied confficients with large scale via Liapunov functional and decomposite - aggregated method. A group of sufficient conditions are given to guarantee asymptotic stability of zero solutions of systems.
Prime Space of Lattice Implication Algebras
Song Zhenming, Guo Tianbang
1997, 12(4): 46-50.
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In this paper,after discussing the prime implication filter of lattice implication algebra,we introduced the concept of prime space of lattice implication algebra,in which we analysised its topological property and discussed the relation between the category of topological space and the category of lattice implication algebras.
Complete Positivity of Elementary Operators on C* -algebras
Li Jiankui
1997, 12(4): 51-54.
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Let E(x) =... be an elementary operator on a C-algebra A. We prove that if A is prime with soc(A) = 0, or there is a family of irreducible representation of A such that is faithful and (A) does not contain compact operator,or A has a faithful repre sentation π such that π(A)″with no central portions of type In for n>1 then E is positive if and only if E is completely positive.
The U-property of Orlicz Sequence Spaces
Wang Tingfu, Ji Donghai, Zhao Liang
1997, 12(4): 55-62.
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For Orlicz sequence spaces,the criteria of U-property are given.
A Theorem on Infinitesimal I-isometry of Surfaces Immersed in a Space with Constant Curvature
Cheng Xinyue, Yang Wenmao, Qiu Dunyuan
1997, 12(4): 63-69.
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In this paper we discuss the infinitesimal I-isometric deformations of surfaces immersed in a space with constant curvature. We obtain a sufficient condition for the deformation vector field to be zero vector field which is generalization of the results in [1] and [2].
The Mean Convergence Order of Extended Hermite-Fejér Interpolation Operators
Wen Chenglin, Tian Jishan
1997, 12(4): 70-74.
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Weighted L
p
mean convergence of Extended Hermite-Fejer operators based on the zeros of orthogonal polynomials with respect to the general weight and Jacobi weight is investigated. Sufficient conditions for such convergence for all continuous functions are given.
On a Comparison Property of M-matrices
Li Wen
1997, 12(4): 75-78.
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In this paper,we present a spectral property of a comparison matrix,which improves and generalize the comparison theorem of nonsingular M-matrices.
Nonsingularity on Level-k （r
1
, r
2,
…, r
k
）-circulant Matrices of Type （n
1
, n
2
,…, n
k
）
Jiang Zhaolin, Guo Yunrui, Li Hongjie
1997, 12(4): 79-86.
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In this paper,it is given that the new equivalent definition of level-k （r
1
, r
2,
…, r
k
）-circulant matrices of type
（n
1
, n
2
,…, n
k
）
in [1] and we give the explicit expression of its the eigenval ues and four methods of discriminations its nonsingularity by utilizing only parameter
r
1
, r
2,
…, r
k
and elements of the first row of the sorts matrices.
GF(2)-modules for Sz(q)wrC
t
Wang Xiuqin, Xiong Shengli
1997, 12(4): 87-90.
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In this note the authors investigates the property of the GF(2)-modules for the wreath products Sz(q)wrC
t
,and establish some sufficient condition for a Sz(q)wrC
t
, GF(2)-module to be natural.
The Continuous Solutions of an Age-structured Host-Vector Epidemic Model
Zhou Yicang, Jiang Liqiang
1997, 12(4): 91-97.
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In this paper the continuous solutions for an age-structured host-vector epidemic model are introduced and studied. The continuous solutions of the age-structured epidemic model are easy to investigate and use. The sufficient conditions for existence and uniqueness of the continuous solutions are established.
A Tabu Search Algorithm for Quadratic 0-1 Programming Problem
Zhou Xianwei, Wang Yuanyun, Tian Xinxian, Guo Ruiqiang
1997, 12(4): 98-102.
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In this paper,quadratic 0-1 programming problem (I) is considered, in terms of its features quadratic 0-1 programming problem is solved by linear approxity heurstic algrothm and a developed tabu search ahgrothm .
A Note on Authentication Codes with Arbitration
Li Yuqiang
1997, 12(4): 103-106.
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Abstract By use of partially balanced t-designs(v,b,k;λ,0)that is constructed by the rational normal curves given by [5]and the Cartesian product given by [4],an authentication code with arbitration is constructed and its probability of success of attacks by the transmitter,the receiver and the opponent is obtained in this paper.
Keywords authentication codes;arbitration;partially balanced t-designs
Spanning Annuli in 3-manifolds
Dong Xiaoyong, Lei Fengchun
1997, 12(4): 107-110.
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