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01 February 1999, Volume 19 Issue 1 Previous Issue    Next Issue

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Strong |Consistent and Asymptotic Normal Estimators in Local-Scale Model Under Radom Censorship Wang Qihua Acta mathematica scientia,Series A. 1999, 19 (1):  1-9.  Abstract ( 816 )   RICH HTML PDF (383KB) ( 756 )   Save In this case that censoring distribution function is unknown, the estimators of parameters in localscale model are defined. And strong consistency and asymptotic normality of the estimator proposed are proved, respectively. Counting process martingal techniques are used in the proof of the asymptotic normality. References | Related Articles | Metrics

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The Qualitative Analysisi of A Prey-Predator System of Holling's ⅡFunction Response with Havesting TermⅡ Qiu Weigen Li Chuanrong Acta mathematica scientia,Series A. 1999, 19 (1):  10-16.  Abstract ( 815 )   RICH HTML PDF (468KB) ( 899 )   Save  This paper and its sister paper mainly investgate a prey-predator system of holling's Ⅱ functional response with havesting term. By studying the change of relative situation of the sepdrdtrixs of two saddle points, a comparative completely qualitative concluaion is given. In this paper, we mainly analysis the existence of the limits cycles, particularly the existence of the three limits cycles. References | Related Articles | Metrics

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Dyadic Green's Functon Solution of a Generalized Vector Partial Differetial Equation and its Application Cui Yuanshun Acta mathematica scientia,Series A. 1999, 19 (1):  17-22.  Abstract ( 1024 )   RICH HTML PDF (375KB) ( 1628 )   Save The dyadic Green′s function of a generatized vector partial differential equation is solved by Fourier transformation, theorem of residues, etc. The integral solution in threedimensional unbounded space is studied, and some examples are given.  References | Related Articles | Metrics

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Canonical Ward Identities for Non-local Transformation Li Ziping Tany Taiming Huang Yongchang Acta mathematica scientia,Series A. 1999, 19 (1):  23-29.  Abstract ( 800 )   RICH HTML PDF (416KB) ( 798 )   Save Based on the phase-space generating functional of Green function, the canonical Ward identities for non-local transformation have been derived. The application of the results to the non-Abelian Chern-Simons theory, the Ward identities for the gauge-ghost field proper vertices have been also deduced. The significant advantage of our formulation in that one does not need to carry out the integration over canonical momenta in generating functional and one only requives the Lp and Lgh to be invariant under the non-local transformation in non-Abelian Chern-Simons theory. References | Related Articles | Metrics

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Global Solutions to the Intitial Boundary Value Problems of a Class of Nonlinear Integro-Partial Differential Equations Guo Ai Acta mathematica scientia,Series A. 1999, 19 (1):  30-38.  Abstract ( 807 )   RICH HTML PDF (372KB) ( 1328 )   Save In this paper, we study the problem of global existence of solutions to the following initial-boundary value problem        utt-auxxt-p(ux)-∫t0λ(t-s)q(ux)xds = f(x,t),0<x<1,t>0        u|x=0 = 0,u|x=1 = 0,t≥0,        u|t=0 =φ(x),ut|t=0 =ψ(x), 0≤x≤1, which comes from viscoelastic mechanics. By making use of Galerkin's approximation method, we prove that this problem has a unique global solution if, in addition to certain regularity assumptions on the given functions, the following conditions are satisfied     p′(s)≥0, |p′(s)-q′(s)|≤const., λ(0)<0, λ′(0)<λ2(0). References | Related Articles | Metrics

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A Uniformly Convergent Difference Scheme for the Singular perturbation Problem of a Nonlinesr Elliptic Equation Wang Guoying Acta mathematica scientia,Series A. 1999, 19 (1):  39-44.  Abstract ( 815 )   RICH HTML PDF (331KB) ( 741 )   Save In this paper, a generalized OCI difference scheme for solving the singular perturbation problem of nonlinear elliptic equation is presented. It is shown that the solution of the scheme converges uniformly in perturbation parameter, to that of continuons problem. A numerical example is given. References | Related Articles | Metrics

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On Global Existence,Blow Up and Life Span of Nonlinear Hyperbolic Equations Zhang Quande Acta mathematica scientia,Series A. 1999, 19 (1):  45-52.  Abstract ( 745 )   RICH HTML PDF (347KB) ( 667 )   Save  This paper proves the existence of global solutions and blow up for the Cauchy problem of some nonlinear hyperbolic equations with the initial energy of “critical value”,using the extreme principles of nonlinear functional, and gives the super estimate of nonlinear global solutions of life span for initial energy less than critical value. References | Related Articles | Metrics

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Estimation And Lower Bound Of Critical Distortion For Potts Models Ye Zhongxing Acta mathematica scientia,Series A. 1999, 19 (1):  53-61.  Abstract ( 728 )   RICH HTML PDF (361KB) ( 702 )   Save    This paper is a continuation of our previous works [1,2,3].The critical distortion dc  of q-ary Potts models is shown to be related to the radius of convergence R of the Mayer's series by dc=(q-1)R/(1+R). For those models which the Mayer's series are not available, a unified lower bound of dc is derived. References | Related Articles | Metrics

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G-Function and Eigenvalues of Block Matrices Huang Tingzhu Zhong Shouming Acta mathematica scientia,Series A. 1999, 19 (1):  62-66.  Abstract ( 928 )   RICH HTML PDF (310KB) ( 760 )   Save  Block diagonally dominant matrices are generalized by the concept of G-functions, and distribution domains are obtained for eigenvalues of block matrices, sufficient conditions for M-matrices are also get. References | Related Articles | Metrics

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On the Characteristic Exponent of Two Dimensional Linear Differential Equations with Periodic Coefficient Shi Jinlin Acta mathematica scientia,Series A. 1999, 19 (1):  67-72.  Abstract ( 715 )   RICH HTML PDF (302KB) ( 779 )   Save Determination of characteristic exponent of two dimensional linear differential equations is typically very complicated. In this paper, we establish some conclusions on the sign of characteristic exponent directly in terms of the coefficient.  References | Related Articles | Metrics

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Reserches on General Mandelbrot Sets from Complex Map z←zα+c(α<0) Wang xingyuan Liu Xiangdong Zhu Weiyong Acta mathematica scientia,Series A. 1999, 19 (1):  73-79.  Abstract ( 737 )   RICH HTML PDF (610KB) ( 897 )   Save  This paper expounds the escape time algorithm of constructing general Mandelbrot sets from the complex mapping z←zα+c(α<0). A series of interesting and rich families of fractal images are generated by changing a single parameter α. The fractal images consist of planetary structures with a central planet surrounded by satellite structures. The positions and sizes of the planet and satellite structures are analytically estimated. The embryonic satellite structure arising for non-integer values of α are also analysed. In the end, a few conclusions are reached. References | Related Articles | Metrics

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The Roughness Coefficient of Orlicz Sequence Spaces Wang Quandi Wang Tingfu Acta mathematica scientia,Series A. 1999, 19 (1):  80-84.  Abstract ( 663 )   RICH HTML PDF (327KB) ( 773 )   Save It is proved that the roughness coefficient of Orlicz squence space    R(lm)=2/sup‖y‖0N ky* ,where k*y =min{k>0:‖y‖0N =1(1+ρN(ky))/k}. References | Related Articles | Metrics

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One-factors,f-factors and (g,f)-factors of Graphs Wang Changping Ji Changming Acta mathematica scientia,Series A. 1999, 19 (1):  85-88.  Abstract ( 823 )   RICH HTML PDF (298KB) ( 722 )   Save  Let G be a graph with 1-factor F and let g and f be two non-negative integer-valued functions defined on V(G) such that g(x)<f(x)≤dG(x)for every x∈V(G). Suppose f(V(G)) is even. (1)    If f(x)=f(y) and G-{x,y} has a (g,f)-factor for every xy∈F, then G itself has a (g,f)-factor. (2) If f(x)=f(y) and G-{x,y} has a f-factor for every xy∈F, then G itself has a ffactor.   References | Related Articles | Metrics

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A Complementary Algorithm for Recalibrating Software Reliability Models Zou Fengzhong Li Chuanxiang Acta mathematica scientia,Series A. 1999, 19 (1):  89-93.  Abstract ( 1040 )   RICH HTML PDF (359KB) ( 934 )   Save To date, over 40 software Reliability Models have been published. But the general concensus is that the accuracy of these models are unsatisfactory. This paper presented a complementary algorithm for software reliability models to improve their accuracy, and discussed our experimental result of this algorithm. References | Related Articles | Metrics

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The Absolution Continuity for the Occupation Time of Super Ornstein Uhlenbeck Prosces Bao Yufang Acta mathematica scientia,Series A. 1999, 19 (1):  94-100.  Abstract ( 680 )   RICH HTML PDF (344KB) ( 659 )   Save In this article we proved that the occupation time process Y(t) =∫t0 Xs ds of the super  process Xt with branching mechanism ψ(z)=z2  and  d≤3  transient Ornstein-Uhlenbeck(O.U.) underlying process, is absolutely continuous with respect to the Lebesgue measure, and its density process Y(t,x) is joint continuous in t≥0,x∈Rd. References | Related Articles | Metrics

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An Extension of Bochner Integrals Zhao Junfeng Chen Zeqian Acta mathematica scientia,Series A. 1999, 19 (1):  101-106.  Abstract ( 735 )   RICH HTML PDF (335KB) ( 777 )   Save  Partial Bochner integrals are introduced and studied. And, we present a characterization of the Radon-Nikodym property by means of the integral. References | Related Articles | Metrics

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The Random Dirichlet Series on the Right Half-Plane Sun Daochun Acta mathematica scientia,Series A. 1999, 19 (1):  107-112.  Abstract ( 716 )   RICH HTML PDF (307KB) ( 810 )   Save In this paper, we study the random Dirichlet series on the right half-plane. First, we find a better condition of coefficient and a example which this condition is the best under certain sense. Then we extend a lemma of Paley-Zygmund to-Zygmund to the cases of non-equally distributed and study the value distribution of more general random Dirichlet series with this lemma. References | Related Articles | Metrics

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On the Growth of Meromorphic Solutions of Riccati Equations Yu Junyang Acta mathematica scientia,Series A. 1999, 19 (1):  113-120.  Abstract ( 796 )   RICH HTML PDF (339KB) ( 720 )   Save This paper deals with a problem of the growth of meromorphic solutions of Riccati equations and proves that an upper bound of the growth order given before and slightly modified here is a kind of optimal upper bound.  References | Related Articles | Metrics