2002年, 第15卷, 第2期　刊出日期：2002-04-15

  

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  EQUILIBRIUM IN AN OVERLAPPING GENERATIONS MODEL WITH ALTRUISTIC PREFERENCE WHEN MARKETS ARE FRICTIONAL

  Yi Ming WANG

  Journal of Systems Science and Complexity. 2002, 15(2): 113-124.

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  Abstract. This paper examines the equilibrium existence of an overlapping generations model with transaction costs. Moreover, we also show that if the equilibrium prices of buying equal those of selling the equilibrium allocations are pareto effiCient when the value of the aggregate endowment at equilibrium price is finite.
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  CLASSIFICATION OF CUBIC PARAMETERIZED HOMOGENEOUS VECTOR FIELDS

  Kamal H.Yasir;Yun TANG

  Journal of Systems Science and Complexity. 2002, 15(2): 125-138.

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  Abstract. In this paper the cubic homogeneous parameterized vector fields aJre studied. The classification of the phase portrait near the critical point is presented. This classifica- tion is an extension of the result given by Takens to the cubic homogeneous parameterized vector fields with six parameters.
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  A NONMONOTONE CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION

  Yu Hong DAI

  Journal of Systems Science and Complexity. 2002, 15(2): 139-145.

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  Abstract. Conjugate gradient methods are very important methods for unconstrained optimization, especially for large scale problems. In this paper, we propose a new conjugate gradient method, in which the technique of nonmonotone line search is used.
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  VISCOSITY SOLUTIONS DEFINED BY RIGHT DIFFERENTIALS

  Hong Wei LOU

  Journal of Systems Science and Complexity. 2002, 15(2): 146-154.

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  Abstract. It is proved that for some partial differential equations, the classical notion of viscosity solution can be defined via right-subdifferentials and superdifferentials of contin- uous functions.
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  SUPERCONVERGENCE OF THE NON-CONFORMING DOMAIN DECOMPOSED FINITE ELEMENT METHOD WITH LAGRANGE MULTIPLIERS FOR PARABOLIC PROBLEMS

  Er Hui JIA;Qun LIN

  Journal of Systems Science and Complexity. 2002, 15(2): 155-163.

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  Abstract. In this paper which is motivated by computation on parallel machine, we show that the superconvergence results of the finite element method(FEM) with Lagrange mul- tipliers based on domain decomposition method (DDM) with nonmatching grids can be carried over to parabolic problems.
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  LIMIT BEHMIOUR OF SOLUTIONS TO EQUIVALUED SURFACE BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS

  Feng Quan LI

  Journal of Systems Science and Complexity. 2002, 15(2): 164-175.

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  Abstract. In this paper, we discuss the limit behaviour of solutious to equivalued surface boundary value problem for parabolic equations when the equivalued surface boundary shrinks to a point and the space dimension of the domain is two or more.
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  ASYMPTOTIC PROPERTIES OF MLE FOR WEIBULL DISTRIBUTION WITH GROUPED DATA

  Hong Qi XUE;Li Xin SONG

  Journal of Systems Science and Complexity. 2002, 15(2): 176-186.

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  Abstract. A grouped data model for Weibull distribution is considered. Under mild con- ditions, the maximum likelihood estimators(MLE) are shown to be identifiable, strongly consistent, asymptotically normal, and satisfy the law of iterated logarithm.
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  EDGE COVERING COLORING AND FRACTIONAL EDGE COVERING COLORING

  Lian Ying MIAO;Gui Zhen LIU

  Journal of Systems Science and Complexity. 2002, 15(2): 187-193.

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  Abstract. Let G be a graph with edge set E(G). S E(G) is called an edge cover of G if every vertex of G is an end vertex of some edges in S. The edge covering chromatic number of a graph G, denoted by Xc(G) is the maximum size of a partition of E(G) into edge covers of G.
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  OPTIMAL HARVESTING POLICY AND STABILITY FOR SINGLE-SPECIES GROWTH MODEL WITH STAGE STRUCTURE

  Xin Yu SONG;Lan Sun CHEN

  Journal of Systems Science and Complexity. 2002, 15(2): 194-201.

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  Abstract. In this paper, we consider a stage structure population model with two life stages, immature and mature, with harvesting mature population and stocking immature population. It is shown that under suitable hypotheses there exists a globally asymptotically stable positive equilibrium.
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  A GEOMETRIC APPROACH TO dim S_2~1(Δ_(MS))

  Hong DU;Xi Quan;Ren Hong WANG

  Journal of Systems Science and Complexity. 2002, 15(2): 202-204.

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  Introduct Let Q C R”(。＞2)be an n dimensional polygon,A be a triangulation of D;P一R[xl,…;
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  BOUNDEDNESS OF GENERALIZED CALDER(?)N-ZYGMUND OPERATORS

  Can Qin TANG;Da Chun YANG

  Journal of Systems Science and Complexity. 2002, 15(2): 205-218.

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  Abstract. The authors introduce the (θ1,θ2)-type Calderon-Zygmund operators and the operators with the semi-(θ, N) regular kernels, and study their boundedness on the weighted Lebesgue spacest the weighted weak Lebesgue spaces, the weighted Hardy spaces and the weighted weak Hardy spaces.
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  THE GROEBNER BASIS UNDER COMPOSITION I

  Jin Wang LIU;Xiao Ling FU

  Journal of Systems Science and Complexity. 2002, 15(2): 219-224.

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  Abstract. In this paper we contribute with one main result to the interesting problem initiated by Hong(1998) on the behaviour of Groebner bases under composition of polyno- mials. Polynomial composition is the operation of replacing the variables of a polynomial with other polynomials.