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05 December 1999, Volume 19 Issue 5 Previous Issue    Next Issue

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Neighborhood Unions and [a,b] Factors Su Bentang Acta mathematica scientia,Series A. 1999, 19 (5):  481-485.  Abstract ( 708 )   RICH HTML PDF (308KB) ( 682 )   Save Let a≤b be integers and G a graph. A spanning subgraph F of G is called an [a,b] factor of G if a≤dF(v)≤b for all v∈V(G). A sufficient condition concerning neighborhood unions for the existence of an [a,b] factor in a graph is given. The author prove the following result: Let a<b be integers and G a graph of order n such that n>(a+b)(2a+2b-3)/b. Assume |NG (u)∪NG (v)|≥an/(a+b), for each pair of nonadjacent vertices u,v in G and the minimum degree is at least a, Then G has an [a,b] factor. References | Related Articles | Metrics

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Some Relative Efficiencies of B in Growth Curve Model Zhang Riquan Zhang Yusheng Acta mathematica scientia,Series A. 1999, 19 (5):  486-492.  Abstract ( 1162 )   RICH HTML PDF (323KB) ( 686 )   Save For the general growth curve linear model: Y q×n = A q×m B m×k C k×n + eq×n , where E(e)=0,and Cov(e→)=Vn×n×Σq×q, three relative efficiencies of B:  Δp1(B|B*)=[tr((CovB)·(Cov -1B*))p]1/p， Δp2(B|B*)=[tr(CovB - CovB#)p]1/p， Δp3(μ|μ#)=[tr(Covμ- Covμ*)p]1/p， are proposed and their upper bounds are given, where p≥1,μ=ABC,μ*=AB*C. References | Related Articles | Metrics

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Asymptotic Stability Perturbing Scalar Functional Differential Equations with Unbounded Delay Shen Gengcheng Gao Guozhu Li Lifeng Acta mathematica scientia,Series A. 1999, 19 (5):  493-500.  Abstract ( 999 )   RICH HTML PDF (358KB) ( 828 )   Save In this paper the authors investigate the 3/2- stability for perturbing scalar functional differential equations with unbounded delay and obtain some sufficient conditions for the uniform stability and asymptotic stability of the zero solution. References | Related Articles | Metrics

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Strong Consistency of Estimators in a Semi-Parametric Model with Completed and Censored Data   Chen Minghua Acta mathematica scientia,Series A. 1999, 19 (5):  501-506.  Abstract ( 782 )   RICH HTML PDF (339KB) ( 822 )   Save The author considers semiparametric regression model under fixed design: yi = xiβ+g(ti)+ei,i=1,…,n, where ei,1≤i≤n, be independent random error sequence with Eei=0 and Ee2i=σ2i>0. He estimates β and g(·) from completed and censored data by [2]. In this paper, the author prove that these estimations of β and g(·) have strong consistency. References | Related Articles | Metrics

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Subalgebras of the loop algebra A-1 and integrable Hamiltonian hierarchies of equations Guo Fukui Acta mathematica scientia,Series A. 1999, 19 (5):  507-512.  Abstract ( 720 )   RICH HTML PDF (307KB) ( 745 )   Save Choosing a subalgebra of the loog algebra A-1 ,two linear isospectral problems are established and two new integrable Hamiltonian hierarchies of equations are derived. The method shown in this paper is very simple and convenient. It can be used to obtain numerous integrable Hamiltonian hierarchies of equations. References | Related Articles | Metrics

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Two Hierarchies of Explicit Exact Solutions to Fisher-Type Equation Liu Chunping Zhang Dan Acta mathematica scientia,Series A. 1999, 19 (5):  513-516.  Abstract ( 722 )   RICH HTML PDF (289KB) ( 732 )   Save This paper first proves that the solitary wave solutions to Fishertype equation followed by use of different power transformations are of the same hierarchy, then by giving a new hypothesis, obtains two hierarchies of explicit exact solutions to Fisher-type equation. References | Related Articles | Metrics

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A Class of Finite Approximation Sequences for the Solution of Constrained Linear Equations Chen Yonglin Acta mathematica scientia,Series A. 1999, 19 (5):  517-523.  Abstract ( 661 )   RICH HTML PDF (342KB) ( 661 )   Save  In this paper the author constructs a class of finite approximation sequences for the solution of constrained linear euqations Ax=b,x∈T, where A∈Rm×n,b∈Rm,and T is a subspace of Rn. References | Related Articles | Metrics

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On Nonsmooth Analysis and Multiobjective Programming in A Locally Convex Linear Topological Space Zeng Renying Acta mathematica scientia,Series A. 1999, 19 (5):  524-530.  Abstract ( 810 )   RICH HTML PDF (343KB) ( 822 )   Save At first the author introduces the definitions of generalized directional derivative, generalized gradient, and satisfied Lipschitzian condition for functions defined in a locally convex linear topological space. And then, the author gives two examples to illustrate that their Lipschitzian condition is a strict generalization for the situation of Banach space. Finally the author discusses the multiobjective programming and attains some optimality sufficient conditions. References | Related Articles | Metrics

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An Information Condensing Distribution and a Boltzmann Entropy Function for Continuous Maximin Problems Liu Fasheng Fu Baibai Xia Zunquan Acta mathematica scientia,Series A. 1999, 19 (5):  531-536.  Abstract ( 677 )   RICH HTML PDF (355KB) ( 843 )   Save An information condensing distribution via a prior experence distribution about the solution and a maximum entropy function for continuous maximin problem are presented in the means of Boltzmann entropy concept. An explicit expression for the global optimization solution is obtained and an application of the maximum entropy function approach in sloving a class of bilevel programming problem is also discussed. References | Related Articles | Metrics

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The Canonical Form of Z2 invariant C&infin|Function Germs Cen Yanbin Wu Xinling Acta mathematica scientia,Series A. 1999, 19 (5):  537-540.  Abstract ( 643 )   RICH HTML PDF (302KB) ( 648 )   Save The result of Whitney on even functions gives the canonical form of invariant C∞ function germs under Z2 group {±1} in one variable: If f∈E1 and f(-x)=f(x),then there exists h∈E1 such that f(x)=h(x2).In this paper, by means of Malgrange preparation theorem and the related computation, the authors obtain the canonical from of invariant C∞ function germs under group {±In} in Rn at origin. References | Related Articles | Metrics

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Estimate for a Semiparametric Regression Model Hu Shuhe Acta mathematica scientia,Series A. 1999, 19 (5):  541-549.  Abstract ( 923 )   RICH HTML PDF (344KB) ( 815 )   Save For a semiparametric regression model y(T)i=βx(T)i + g(t(T)i)+ε(T)i,1≤i≤T, the author defines estimators β^T and gT (t) for β and g, and obtains its strong and uniform strong consistency、sth-mean and uniform sth-mean consistency. References | Related Articles | Metrics

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Modification of a Class of Double-Parameterized Filled Function Methods for Global Optimization Zhu Wenxing Acta mathematica scientia,Series A. 1999, 19 (5):  550-558.  Abstract ( 704 )   RICH HTML PDF (373KB) ( 884 )   Save A class of doubleparameterized filled function methods developed for unconstrained global minimization problem needs the assumption that the optimization problem has only a finite number of local minimizers, and has parameters which are restricted by the inimal radius of the S-basin of some local minimizer of the problem. In this paper, we modify them such that the two weaknesses are overcome. Numerical experiments show that the algorithm is efficient. References | Related Articles | Metrics

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On the Solvability of Initial and Boundary Value Problems for High Order Ordinary Differential Equations in Banach Spaces Hong Shihuang Ou Yigui Acta mathematica scientia,Series A. 1999, 19 (5):  559-564.  Abstract ( 944 )   RICH HTML PDF (335KB) ( 642 )   Save  In this paper, by using certain fixed points theorem based on the degree theory, some sufficient conditions for the existence of solutions of initial and boundary value problems for n order ordinary differential equations in Banach spaces are given, moreover, the authors get existence of maximal and minimal solutions. The results are extension of reference [1-2]. References | Related Articles | Metrics

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Solutions of Second Order Impulsive Integro-Differential Equations in Banach Spaces Zhang Jinqing Acta mathematica scientia,Series A. 1999, 19 (5):  565-572.  Abstract ( 811 )   RICH HTML PDF (410KB) ( 669 )   Save In this paper, by use of the fixed point theory, the existence of solutions of initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces is investigated, and the results in [1] are extended. References | Related Articles | Metrics

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Hawking Effect of the Dirac Particle in Spherically Symmetric Nonstatic Charged Space Time   Zhang Lichun Zhao Ren Acta mathematica scientia,Series A. 1999, 19 (5):  573-578.  Abstract ( 651 )   RICH HTML PDF (327KB) ( 675 )   Save The difficulty of calculating energymomentum tensors is avoided by finding directly the solution of Dirac equations near the horizon. Both the location of the event horzon and Hawking radiation temperature of a nonstatic charged Spherically Symmetric black hole are shown. The results indicate that the Hawking radiation temperature can regarded as a compensating effect under the time scale transformation. References | Related Articles | Metrics

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On the Oscillation of Solutions of Differential Equations with Deviating Argument   Zhou Yong Feng Binlu Yu Yuanhong Acta mathematica scientia,Series A. 1999, 19 (5):  579-583.  Abstract ( 989 )   RICH HTML PDF (304KB) ( 783 )   Save In the present paper a new oscillation criterion of differential equations with deviating argument of the form x′(t)+p(t)x(τ(t))=0 is established. The theorem obtained improve those given in [1]-[6]. References | Related Articles | Metrics

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R0-algebra and Its Structure ChengGuosheng Wang Guojun Acta mathematica scientia,Series A. 1999, 19 (5):  584-588.  Abstract ( 703 )   RICH HTML PDF (325KB) ( 846 )   Save Based on R0-Lindenbaum algebras, R0-algebras, which are slightly stronger than implication lattice algebras, are proposed in this paper. After the discussion on their basic properties, two equivalent structural theorems of R0-algebras are developed. Moreover, from the standpoint of quotient algebras, the basic structures of R0-algebras are particularly investigated. References | Related Articles | Metrics

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Lower-Upper Solution Method for Initial Value Problems of Second Order Abstract Integro-Differential Equations on Infinite Intervals Wang Jianguo Acta mathematica scientia,Series A. 1999, 19 (5):  589-596.  Abstract ( 852 )   RICH HTML PDF (354KB) ( 658 )   Save Established the comparison theorem of integro-differential equations on infinite intervals, and by applying the lowerupper solution method, proved the existence of extreme solutions for nonlinear second order integro-differential equations in infinite intervals in Banach spaces. References | Related Articles | Metrics

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Schwarz Problem of Bianalytic Functions Zhao Yusong Xie Chunping Acta mathematica scientia,Series A. 1999, 19 (5):  597-600.  Abstract ( 758 )   RICH HTML PDF (270KB) ( 720 )   Save In this paper the authors raise the Schwarz problem of bianalytic functions, and the existence and uniqueness theorems of Schwarz problem are given. References | Related Articles | Metrics

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Genetic Algorithm for Solving Optimal Mapping of the Parallel Processor Cheng Weishu Liu Jing Acta mathematica scientia,Series A. 1999, 19 (5):  601-605.  Abstract ( 656 )   RICH HTML PDF (356KB) ( 828 )   Save The paper represents the genetic algorithms of the optimal mapping problem with multiprocessor system that fulfils parallel computation. it'll have practical value for parallel system of fixed architecture, which should make good use of the computing resources and enhance computational efficiency and make use of the genetic algorithm. It is an effective method for solving optimal mapping of tasks in practice. References | Related Articles | Metrics

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Extension of Isometries Between Some p-normed Spaces Zhan Dapeng Acta mathematica scientia,Series A. 1999, 19 (5):  606-612.  Abstract ( 637 )   RICH HTML PDF (337KB) ( 651 )   Save This paper discusses the extension problems of isometries between unit spheres of some subspaces of Lp(Ω,X) (0<p<1). References | Related Articles | Metrics