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26 March 1998, Volume 18 Issue 1 Previous Issue    Next Issue

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Computation for the Event Horizon Temperature of a Static Gutsunaev-Manko Black Hole Yang Shuzheng, Tao Chaide, Tang Tingzai Acta mathematica scientia,Series A. 1998, 18 (1):  1-5.  Abstract ( 53 )   RICH HTML PDF (305KB) ( 38 )   Save The event horizon temperature of a new static Gutsunaev-Manko black hole is studied. It is shown that the black hole generate thermal radiation,and the temperature on the event horizon is constant except the singular point. Mass tnultipole of the black hole affecting significantly the event horizon temperature at singular point. Related Articles | Metrics

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Riesz-mean Operators on the Multidimensional Weighted Special Atom Spaces Kuang Jichang Acta mathematica scientia,Series A. 1998, 18 (1):  6-10.  Abstract ( 63 )   RICH HTML PDF (290KB) ( 79 )   Save In this paper we introduced multidimentsional weighted special atom space B(ω),and study the boundedness and convergence of the Riesz-mean OPerators on B(ω). Related Articles | Metrics

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Triangular Decomposition of the Composition Algebra of A11 Zhang Shunhua Acta mathematica scientia,Series A. 1998, 18 (1):  11-18.  Abstract ( 58 )   RICH HTML PDF (487KB) ( 17 )   Save Let A be the hereditary algebra of type A11 over a finite field, H(A) and C(A) be respectively the Ringel-Hell algebra ang the Composition algebre. It is proved C(A)=Y·J·g,where P(resp.g) is the subalgebra of C(A) generated by the preprojective (rcsp. preinjective) A -modules, and J is the subalgebra generated by the regular elements of C(A). Related Articles | Metrics

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The Global Existence of Solutions for Three Dimensional Compressible Navier-Stokes Equations Yin Huicheng Acta mathematica scientia,Series A. 1998, 18 (1):  19-24.  Abstract ( 81 )   RICH HTML PDF (314KB) ( 81 )   Save In this paper, we proved the global existence of solutions for three dimensional compressible Navier-Stokes equations with the initial data that are small perturbation from a constant state. Related Articles | Metrics

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The Ergodic Property and Equilibrium Distribution of the Generalized Birth and Death Processes Tang Yourong, Liu Zaiming, Hou Zhenting Acta mathematica scientia,Series A. 1998, 18 (1):  25-32.  Abstract ( 67 )   RICH HTML PDF (402KB) ( 106 )   Save Reference[1] has concerned upward integral random functional of the generalizedbirth and death processes and obtained several digital features of the processes and the Tish paper deals with down sary and sufficient conditions for the processes to be recurrent. This paper dcals with downward integral random functional of the generalized birth and death processes, and obtains thenecessary and sufficient conditions for the processes to be ergodic and computational formulafor average recurrent times as well as the equilibrium distributions of the processes in the ergodic conditions. Related Articles | Metrics

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High Dimensional Ferromagnetic Spin Chain System and p-Harmonic Maps Zhou Chunqin Acta mathematica scientia,Series A. 1998, 18 (1):  33-40.  Abstract ( 56 )   RICH HTML PDF (476KB) ( 32 )   Save In this paper, the Landau-Lifshitz equation of ferromagentic chain systems is considered which is related to p-Laplacc operator, its solution from a m-dim compact manifold M (without houndary) into the unit sphere S2 of R3 is shown; Sornc links between p-harmonic maps and its solution are also established. Related Articles | Metrics

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Fast Inverse Cholesky Decomposition for Rectanguler Toeplitz-Block Matrices Zheng Huirao, Fan Yunlan, Zhang Li, Wang Ziping Acta mathematica scientia,Series A. 1998, 18 (1):  41-47.  Abstract ( 62 )   RICH HTML PDF (378KB) ( 24 )   Save In this pape, a fast inverse Cholesky decomposition algorithm of ATA is presented,where A is an m×n rectangular Toeplitz-block atrix. This algorithm only requires O (mn) multiplications for solving rectangular Toeplitz-block least sguares problems. Related Articles | Metrics

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Optimality Conditions of Cone Efficient Solution in Multiobjective Programming Wang Qiutiong, Wang Xianjia, Tian Yixiang Acta mathematica scientia,Series A. 1998, 18 (1):  48-55.  Abstract ( 77 )   RICH HTML PDF (507KB) ( 124 )   Save This paper proposes the concepts of decreasing, unchanging, non-increasing and non-decreasing direction set of the generalized cone-convex function with respect to a cone ∧. Based on discussing their propertics and distinguishing their conditions, this paper gives the Sufficient and necessary conditions of which the points in feasible domain arc the cone ∧-efficient solution. Related Articles | Metrics

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A Large Deviation for the Least Squares Estimators in Nonlinear Regression With m0 Dependent Errors Hu Shuhe Acta mathematica scientia,Series A. 1998, 18 (1):  56-62.  Abstract ( 66 )   RICH HTML PDF (344KB) ( 106 )   Save We give a law of large deviation (LLD) for.LS estimator θn in a nonlinear regression model with m0 dependent errors, this generalizes the results in Sleders and Dzhaparidze (1987). Related Articles | Metrics

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Stability of Solution of Sigular Integral Equations Zhao Xinquan Acta mathematica scientia,Series A. 1998, 18 (1):  63-69.  Abstract ( 56 )   RICH HTML PDF (394KB) ( 174 )   Save This paper, based on[1], discusses the resolution of weight functions and the stability of solution of sigular integral equations with Cauchy Kernel on[-1,1] and the stable condition under Chebyshev Module. It establishes the solvability of the disturbed equation and the continuous reliance on the known functions for the solution of the equation. Related Articles | Metrics

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Hopf Bifurcation in the Third-Dimensional Ecologic Dynamical System Wu yunhua, Yuan xiaofeng, Liu shize Acta mathematica scientia,Series A. 1998, 18 (1):  70-77.  Abstract ( 72 )   RICH HTML PDF (441KB) ( 39 )   Save A class of ecology models in predator-prey systems is considered. The bifurcation phenomena are discussed by using Hopf bifurcation and Center manifold theorems. Hopf bifurcation can occur in some values of parameters. The asymptotic formulas fot the center manifold and the periodic solution with small amplitude have been given. The stable criterion of the periodic solution has also been obtained. Related Articles | Metrics

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Lagrange Formalism of Elasticity:Building the Basic Equations on Finite-Deformation Problems by Routh's Method Shen Huichuan Acta mathematica scientia,Series A. 1998, 18 (1):  78-88.  Abstract ( 60 )   RICH HTML PDF (659KB) ( 42 )   Save The elastic finite-deformation problems be bring into the theoretical system of Lagrangian mechanics, the basic equations of finite-deformation for plane-strain problems and plane-stress problems be builded by the Routh method in classical mechanics,the contradiction in von Kármán equation of finite-deformation large-deflection problems be disussed, and thenew plan be proposed in this paper. Related Articles | Metrics

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Complete Convergence and laws of large Numbers for Arrays of B-Valued Random Elements Liang Hanying, Xuc Zhanao, Niu Sili Acta mathematica scientia,Series A. 1998, 18 (1):  89-96.  Abstract ( 47 )   RICH HTML PDF (433KB) ( 109 )   Save We obtain general results of complete convergence for array4 of rowwise independent random elements in a separable Banach space which are stochastically bounded by a positive random variable and discuss some convergence results for the sequence of weighted sums of the form ∑i=1n amXm,n ≥ 1.Some results in[5],[6]are improved and extended. Meanwhile, We discuss the equivalence of the complete convergence and the properties Banach Space of type p as well. Some results in[14],[15]are further improved. Related Articles | Metrics

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The Asymptotics of Smoothed Bahadur-Kiefer Process under Random Right Censorship Sun Liuquan, Liu Huanbin Acta mathematica scientia,Series A. 1998, 18 (1):  97-108.  Abstract ( 63 )   RICH HTML PDF (638KB) ( 19 )   Save In the random censorship from the right model,we consider the asymptotics of Bahadur-Kiefer process based on smoothed PL and its quantile processes. We prove that with the different choice of smoothing parameter the asymptotic distribution on smoothed Bahadur-Kiefer process can be completely different. We obtain a complete characterization of the possible limits. Related Articles | Metrics

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Singular Perturbation of Boundary Value Problem for System of Integro-Differential Equations You Zhefeng, Lin Zongchi Acta mathematica scientia,Series A. 1998, 18 (1):  109-115.  Abstract ( 67 )   RICH HTML PDF (389KB) ( 110 )   Save In this paper,considers the singular perturbation of boundary value problems for second order system of integro-differential equations. Under the suitable conditions the cxistence of the solution is proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven by the asymptotic analysis method and the diagonalization technique. Then the results are applied to the singularly perturbed boundary value problem for the third order systems of ordinary differential equations. Finally a uniformly valid asymptotic expansion of the solution is obtained as well. Related Articles | Metrics

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Random Taylor Series Wu Guirong Acta mathematica scientia,Series A. 1998, 18 (1):  116-120.  Abstract ( 45 )   RICH HTML PDF (269KB) ( 86 )   Save In this paper we discuss Nevanlinna's charactc of entire function defined by a random Taylor Series and under certain conditions prove that it has no finite exceptional values a. s. Related Articles | Metrics