中国科学院数学与系统科学研究院期刊网

1999年, 第12卷, 第2期 刊出日期:1999-04-15
  

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  • Chang Xing MIAO;Ze Min LI
    Journal of Systems Science and Complexity. 1999, 12(2): 97-103.
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    This note is a continuation of earlier papers "The Cauchy Problem for General Coupled Maxwell-Schrodinger Equations (I) (II)". When the spatial dimensions are three ,we prove the existence of global small solution for the Cauchy problem of general coupled Maxwell-Schrodinger equations under Lorentz gauge.
  • Jian Qing SHI;Fang Huan WAN
    Journal of Systems Science and Complexity. 1999, 12(2): 104-114.
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    In this paper, we study the diagnostic problems of parametric empirical Bayes models systematically. Cook's distance and Kullback-Leibler divergence are used to measure the effect of each individual observation, and the local influence diagnostic is used to assess the influence of minor perturbations on empirical Bayes estimates as well.
  • Quan Sen JIU
    Journal of Systems Science and Complexity. 1999, 12(2): 115-122.
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    The existence and uniqueness of the local classical solution of nonhomogenuous Hopf equations in higher dimensions are proved in this paper. This solution is obtained by vanishing the viscosity term of Burger's equations in higher dimensions.
  • Yong Cheng QI
    Journal of Systems Science and Complexity. 1999, 12(2): 123-132.
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    This paper studies the one-sided logarithmic law for arrays of independent random variables and derives the necessary and sufficient condition for it in the case where the random variables are lid.
  • Ying YANG;Bing Zhang WANG
    Journal of Systems Science and Complexity. 1999, 12(2): 133-144.
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    Consider the nonparametric regression model Yi=g(xi) +ei, i=1, 2,...,where g is an unknown function defined on the interval [0, 1], the fixed design points xi(i≥1) are known and ei's are i.i.d. random variables with median zero. The regressor is assumed to take values in [0,1]/in R and the regressand to be real valued.
  • Zhi Dong TENG
    Journal of Systems Science and Complexity. 1999, 12(2): 145-148.
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    In this paper, we study the uniform persistence of a class of two dimensional periodic Kolmogorov ecosystems. As an improvement on a main result in [1] we obtain a new criterion of the uniform persistence for solutions.
  • Rui XU
    Journal of Systems Science and Complexity. 1999, 12(2): 149-153.
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    In this paper, a sufficient condition for a balance bipartite graph to have a connected [1, k]-factor is given, which generalizes a known condition of a balance bipartite graph for the existence of a hamilton-path.
  • Shu Huang XIANG;Zhao Yong YOU
    Journal of Systems Science and Complexity. 1999, 12(2): 154-158.
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    In this paper, using a graph theoretic approach, we give a necessary and sufficient condition for a (0,1)-matrix to be a nonsingular generalized ultrametric matrix.
  • Yan Ping CHEN
    Journal of Systems Science and Complexity. 1999, 12(2): 159-165.
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    This paper treats the lowest-order Raviart-Thomas mixed finite element method for second order hyperbolic equation. The superconvergence phenomena between the finite element solution and its elliptic projection have been observed. Thus a global L~2-superconvergence of O(h~2) is obtained by using one kind of post-processing operator.
  • Ding Jun LUO
    Journal of Systems Science and Complexity. 1999, 12(2): 166-174.
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    The Poincare bifurcations for polynomial differential systems are considered in this paper. Usually, the Pontryagin's method of perturbed Hamiltonian systems are used to deal with such problem by studying the number and multiplicity of the zero points for certain Abelian integrals,and many results have been given for concrete polynomial systems.
  • Ru Ying XUE;Yu Chun QIN
    Journal of Systems Science and Complexity. 1999, 12(2): 175-184.
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    In this paper we consider certain eigenvalue systems. Imposing some reasonable hypotheses, we prove that the eigenvalue system has a unique eigenvalue with positive eigenfunctions, and that the eigenfunction is unique up to a scalar multiple.
  • Jin ZHOU
    Journal of Systems Science and Complexity. 1999, 12(2): 185-192.
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    In this paper, we investigate the nonexistence of periodic solutions for Lienardtype equationSome brief and practical sufficient conditions on the nonexistence of periodic solutions aregiven.