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12 May 2000, Volume 20 Issue 3 Previous Issue    Next Issue

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Attractor for Cauchy Problem of Dissiptive KDV type Equation Du Xianyun Dai Zhengde Acta mathematica scientia,Series A. 2000, 20 (3):  289-295.  Abstract ( 806 )   RICH HTML PDF (320KB) ( 741 )   Save  In this paper,we consider the dynsmics of Cauchy problem of KDV type equation and obtain the existence of the global attractor in H2(R1). References | Related Articles | Metrics

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Global Asymptotic Stability of Periodic Lotka-Volterra Systems with Delays Teng Zhidong Chen Lansun Acta mathematica scientia,Series A. 2000, 20 (3):  296-303.  Abstract ( 1172 )   RICH HTML PDF (364KB) ( 752 )   Save  In this paper a general n-species periodic Lotka-Volterra type system with distributed delay and time dependent delay is considered. Sufficient conditions for the existence and global asymptotic stability of positive periodic solutions is established by applying the method of Liapunov functions. These conditions improve and extend the recent ones obtained by Wang, Chen and Lu ［2］and Ahlip and King［4］. References | Related Articles | Metrics

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(g,f)-Factorizations (m,r)-Orthogonal to an Arbitrary Grapy Yuan Jinjang Acta mathematica scientia,Series A. 2000, 20 (3):  304-308.  Abstract ( 898 )   RICH HTML PDF (286KB) ( 817 )   Save Let G and H be two integer valued function defined on the vertex set of a graph G. We show in this paper that: Suppose that r is a positive integer, G is an (mg+(m-1)r,mf-(m-1)r)-graph, and g(x)≥r-1 for x∈V(G),then G is a random (m,r)-orthogonal (g,f)-factorizable graph. References | Related Articles | Metrics

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The Fixed Point Property of Stable Banach Spaces with An Unconditional Schauder Basis Hu Changsong Acta mathematica scientia,Series A. 2000, 20 (3):  309-313.  Abstract ( 882 )   RICH HTML PDF (303KB) ( 694 )   Save The main result of this paper is that stable Banach space with an unconditional monotone Schauder basis is reflexive if and only if it has the fixed point property.   References | Related Articles | Metrics

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Inverse Problem of a Hyperbolic Integro-Differential Equation Acta mathematica scientia,Series A. 2000, 20 (3):  314-320.  Abstract ( 847 )   RICH HTML PDF (339KB) ( 809 )   Save This paper deals with an inverse problem of identifying unknown coefficient in the hyperbolic integro-differential equation, using Principle of Banach compressive image, the existence, the uniqueness and the stability of this inverse problem are demonstrated. References | Related Articles | Metrics

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Asymptotic Properties in Nonlinear Reproductive Dispersion Models Tang Niansheng Zhu Zhongyi Wei Bocheng Acta mathematica scientia,Series A. 2000, 20 (3):  321-328.  Abstract ( 1060 )   RICH HTML PDF (352KB) ( 924 )   Save This paper proposes some mild regularity conditions analogous to those given by Wei (1998) and Fahrmeir & Kaufmann (1985) under which the existence, the strong consistency and the asymptotic normality of maximum likelihood estimation (MLE) are given in nonlinear reproductive dispersion models (NRDM). The previous results in the literature are generalized to NRDM. References | Related Articles | Metrics

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Geometric Singular Perturbation Theory for Ordinary Differential Equations with Multifrequency Chen Liping Acta mathematica scientia,Series A. 2000, 20 (3):  329-335.  Abstract ( 746 )   RICH HTML PDF (375KB) ( 984 )   Save  In this paper,we generalize the geometric singular perturbation theory of ordinary differential equations to multifrenquency systems. An example is given to explain the main theory. References | Related Articles | Metrics

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Bifurcation Analysis of One Kind of Reactiondiffusion Equations Li Changpin Acta mathematica scientia,Series A. 2000, 20 (3):  336-341.  Abstract ( 835 )   RICH HTML PDF (358KB) ( 905 )   Save In the paper, bifurcation phenomena of one kind of reactiondiffusion equations are investigated. Used singularity theory based on the method of L-S (Liapunov-Schmidt), satisfactory results are obtained. References | Related Articles | Metrics

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Regularity and Approximation of the Attractor for the Strongly Damped Wave Equation Li Yongsheng Zhang Weiguo Acta mathematica scientia,Series A. 2000, 20 (3):  342-350.  Abstract ( 904 )   RICH HTML PDF (387KB) ( 1012 )   Save In this paper the authors consider the initial boundary value problem of the strongly damped wave equation. By using the analytic property of the semigroup generated by the principal operator of the equation in the phase space, they show the smoothing effect of the solution, which is much different from the case of weakly dissipative wave equations. Thus they obtain the regularity of the global attractor, and construct inertial manifolds of the equation, just as usually done in the selfadjoint cases. References | Related Articles | Metrics

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Initial Value Problems for Nonlinear Second Order Impulsive Integrodifferential Equations in Banach Space Chai Guoqing Acta mathematica scientia,Series A. 2000, 20 (3):  351-359.  Abstract ( 815 )   RICH HTML PDF (369KB) ( 769 )   Save Through intrducing the equivalent norm, by applying Banach fixed theorem, under simpler conditions, the author has obtained existence and uniqueness and iterative approximation of solution for initial value problems of nonlinear second order impulsive integrodifferential equations in Banach space, and improved and generalized the corresponding results of paper [5] for d0=0 (J.Math.Anal.Appl. 200(1996),1-13).The assumed condition in present paper is easy to be judged and the method is different essentially from the one in paper [5]. References | Related Articles | Metrics

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Convergence Rates of Regularized Solutions of Nonlinear Operator Equation of the First Kind Involving Monotone Operators Yang Hongqi Hou Zongyi Acta mathematica scientia,Series A. 2000, 20 (3):  360-363.  Abstract ( 795 )   RICH HTML PDF (294KB) ( 857 )   Save In this paper we investigate convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators. Under centain conditions, we obtain convergence rates O(δ1/3), where δ denotes the noise level of the data perturbation. References | Related Articles | Metrics

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Estimation of Failure Rate and its' Applications in the Case of Zero-Failure Data Han Ming Acta mathematica scientia,Series A. 2000, 20 (3):  364-369.  Abstract ( 775 )   RICH HTML PDF (396KB) ( 1155 )   Save In this paper, for zerofailure data of exponential distribution, if the prior density kernel of the failure rate λ is in form of λa-1, the author gives λ Bayesian estimation and hierarchical Bayesian estimation. When for life distribution such as exponential distribution of certain hydraulic engine , the author gives, then the reliability estimation of certain hydraulic engine under zero-failure data condition is obtained also.     References | Related Articles | Metrics

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Asymptotic Properties of a Kind of Sieve MLE Song Lixin Xue Hongqi Acta mathematica scientia,Series A. 2000, 20 (3):  370-377.  Abstract ( 950 )   RICH HTML PDF (384KB) ( 916 )   Save  For a partly linear model, when observations of the respond variable are case one interval censored, asymptotic properties of sieve MLEs are discussed. Triangle series are used to struct sieve spaces, under mild conditions, sieve MLEs are shown to be strong consistent, sieve MLE of the nonparametric part has an optimal convergence rate, and the information bound of sieve MLE of the parametric part is obtained. References | Related Articles | Metrics

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A New Algorithm for Wavefront Fitting Using Zernike Polynomial Yan Jingzhou1 Sun Houhuan2 Gao Zhiqiang1 Zhou Bifang1 Acta mathematica scientia,Series A. 2000, 20 (3):  378-385.  Abstract ( 893 )   RICH HTML PDF (373KB) ( 907 )   Save A precise algorithm for wavefront fitting using Zernike polynomial, which is applied in the computer-generated hologram digital wavefront interferometer, is studied. Differing from the conventional method of direct constructing normal equation group or the GramSchmidt orthogonalization method, the new algorithm orthogonalizes and triangulates the matrix of inconsistent equation group by using Householder transformation, and then the Zernike coefficients are worked out using a backsubstitution technique. It is proposed for the first time. By avoiding constructing normal equation group, the computational error introduced by constructing normal equation group is eliminated. It is also quite easy to be programmed and has proved to be an efficacious algorithm.     References | Related Articles | Metrics

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Strong Consistency for Kernel Neighbor Estimator of Density Function of spherical Data Wang Xiaoming Acta mathematica scientia,Series A. 2000, 20 (3):  386-393.  Abstract ( 991 )   RICH HTML PDF (334KB) ( 747 )   Save In this article, we introduce a kernel neighbor estimator of density function of spherical data. By investigating the relationship between kernel estimator and kernel neighbor estimator, we establish the strong consistency and the uniformly strong consistency for this kernel neighbor estimator. References | Related Articles | Metrics

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The Properties of the Polar Sets for N-Paramenter d-Dimensional Generalized Wiener Process Chen Zhenlong Acta mathematica scientia,Series A. 2000, 20 (3):  394-399.  Abstract ( 841 )   RICH HTML PDF (320KB) ( 844 )   Save In this paper we discuss the properties of the polar sets of N-paramenter d-dimensional generalized Wiener processes. We obtain the necessary conditions for a set to be polar. References | Related Articles | Metrics

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Exponential Stability of Hopfield-Type Stochastic Neural Networks with Variable Delays   Shen Yi Zhao Yong Liao Xiaoxin Yang Shuzi Acta mathematica scientia,Series A. 2000, 20 (3):  400-404.  Abstract ( 865 )   RICH HTML PDF (321KB) ( 708 )   Save paper we investigate the exponential stability of Hopfield-type stochastic neural networks with variable delays, By using the Razumikhin theorems and Lyapunov functions, we present two types of criteria for the exponential stability in the mean square and almost surely exponential stability of Hopfield-type neural networks. One type involves delay dependent results while the other type involves delay independent results.   References | Related Articles | Metrics

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Adaptive Outputfeedback Control of a Class of Nonlinear Systems with bounded disturbances Huang Changshui Ruan Rongyao Acta mathematica scientia,Series A. 2000, 20 (3):  405-413.  Abstract ( 940 )   RICH HTML PDF (457KB) ( 830 )   Save In this paper, a class of nonlinear systems (1) with bounded disturbances and unknown parameters is considered, and a adaptive outputfeedback controller is designed for output tracking. The controller can guarantee the global stability of the closed-loop system, and can solve the ε-tracking problem. The simulations show the good track effect of the adaptive controller. References | Related Articles | Metrics

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Existence of Positive Radial Solutions of Dirichlet Problems for Elliptic Equations Δu+g(|X|)f(u)=0 in Annulus Yao Qingliu Acta mathematica scientia,Series A. 2000, 20 (3):  414-418.  Abstract ( 740 )   RICH HTML PDF (301KB) ( 757 )   Save We study the existence of positive radial solutions of elliptic equations Δu+\{g(|X|)f(u)\}=0 in annular domains, subject to Dirichlet boundary conditions. In this paper it is no required that liml→0f(l)/l,liml→∞f(l)/l exist. Our worke is a develop to Coffman [7] and Wang Haiyan [9].   References | Related Articles | Metrics

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The Properties of the Polar Sets for N-Paramenter d-Dimensional Generalized Wiener Process Li Taosheng Acta mathematica scientia,Series A. 2000, 20 (3):  419-424.  Abstract ( 739 )   RICH HTML PDF (301KB) ( 739 )   Save In the paper we discuss the properties for power of morphisms. These propereise induce a series results on power of matrices over p-division ring. References | Related Articles | Metrics

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The Fixed Points and Hyper Order of Solutions of Second Order Complex Differential Equations Chen Zongxuan Acta mathematica scientia,Series A. 2000, 20 (3):  425-432.  Abstract ( 1033 )   RICH HTML PDF (340KB) ( 1161 )   Save In this paper, we first of all investigate the problems on the fixed points and hyper order of solutions of four type of second order linear differential equations with entire coefficients. We obtain that the properties of fixed points of solutions of complex differential equations are more interesting than that of general transcendental entire functions because of the control of differential equations.   References | Related Articles | Metrics