2001年, 第14卷, 第3期　刊出日期：2001-07-15

  

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  QUEUEING NETWORKS WITH INSTANTANEOUS SEQUENTIAL TRANSITIONS

  Xiuli Chao

  Journal of Systems Science and Complexity. 2001, 14(3): 225-238.

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  We study queueing networks with instantaneous transitions of sequential batch departures and sequential batch arrivals. Unlike most of the existing models, this network is shown not to have a product form solution. An "extra arrival condition" is introduced under which the network is shown to possess a groduct form stationary distribution.
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  THE DIRICHLET PROBLEM AND NEUMANN PROBLEM FOR NONLINEAR PARABOLIC SYSTEMS OF SECOND ORDER EQUATIONS WITH MEASURABLE COEFFICIENTS IN A HIGHER DIMENSIONAL DOMAIN

  Guo Chun WEN;Sha HUANG;Yu Ying QIAO

  Journal of Systems Science and Complexity. 2001, 14(3): 239-246.

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  In 1988, Yu . A. Alkhutov and I. T. Mamedov discussed the solvability of the Dirichlet problem for linear uniformly parabolic equations with measurable coefficients where the coefficients satisfy the condition In this paper, we try to generalize the results of Alkhutov and Mamedov to nonlinear uniformly parabolic systems of second order equations with measurable coefficients.
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  CONVERGENCE RATE ANALYSIS OF MULTIPLICATIVE SCHWARZ ALGORITHM FOR ELLIPTIC VARIATIONAL INEQUALITIES

  Jin Ping ZENG;Shu Zi ZHOU;Lie Heng WANG

  Journal of Systems Science and Complexity. 2001, 14(3): 247-254.

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  Considering multiplicative Schwarz algorithm for solving algebraic obstacle problems, we show the geometric convergence of the algorithm by the use of discrete maximum principle. We also get a decay rate bound independent of the meshsize for the iterative error and illustrate the method by some numerical experiments.
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  IDENTIFICATION OF TIME-VARIANT CONTINUOUS SYSTEM BY A QUASI-NEWTON METHOD

  Wen Huan YU

  Journal of Systems Science and Complexity. 2001, 14(3): 255-264.

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  A quasi-Newton method (QNM) for solving an unconstrained optimization problem in infinite dimensional spaces is presented in this paper. We apply the QNM algorithm to an identification problem for a nonlinear system of differential equations, that is ,to identify the parameter vector q=q(t) appearing in the following system of differential equations.
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  A REPRESENTATION THEOREM OF THE BOUNDED REGULAR OPERATORS FROM SOME SPACE X ONTO L_1(μ)

  Yu Mei MA

  Journal of Systems Science and Complexity. 2001, 14(3): 265-068.

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  Suppose X is a Banash lattice, and X* has Radon-Nikodym property. Then the space R(X, L1(μ)) of all bounded regular operators is isometrically isomorphic onto L1 (μ, X). We denote R(X, L1 (μ)) L1 (μ, X).
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  SOME INITIAL-OBLIQUE DERIVATIVE BOUNDARY VALUE PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS WITH UNBOUNDED COEFFICIENTS

  Ben Teng ZOU

  Journal of Systems Science and Complexity. 2001, 14(3): 269-277.

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  In this paper, we consider quasilinear uniformly parabolic equations: Lu = aij (t, x, u)Diju + b(t, x u, Du) - ut = 0, with regular derivative boundary value problems: Bu = u/ v + au = h(t, x). By the help of Leray-schauder fixed point theorem.
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  A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE STOKES AND NAVIER-STOKES EQUATIONS PART I. THE LINEAR CASE

  Hou Yuan DUAN;Guo Ping LIANG

  Journal of Systems Science and Complexity. 2001, 14(3): 278-292.

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  A new stabilized method is established for the Stokes equations with a zero- th term and convection. It is shown that this new methodology is stable and has an optimal error estimates for all mesh-Peclet number, allowing any combination of velocity and pressure interpolation,including the discontinuous case.
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  CONVERGENCE PROPERTIES OF DFP METHOD WITH MODIFIED QUASI-NEWTON EQUATIONS

  Wei Wen TIAN;Ding Guo PU

  Journal of Systems Science and Complexity. 2001, 14(3): 293-305.

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  Quasi-Newton (QN) equation plays a core role in contemporary nonlinear optimization. The traditional QN equation employs only the gradients, but ignores the function value information, which seems unreasonable. In this paper, we consider a class of DFP method with new QN equations which use both gradient and function of convergence and suprelinear convergence for these methods.
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  POINTWISE MULTIPLIERS OF DIRICHLET TYPE SPACES ON THE UNIT BALL OF C~n

  Shao Ji FENG

  Journal of Systems Science and Complexity. 2001, 14(3): 306-310.

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  In this paper, we establish a criterion for a holomorphic function to be a pointwise multiplier of Dirichlet type spaces, and use this criterion to consider the inclusion relations among M(Dr), α-Bloch spaces and Qp spaces.
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  STATISTICAL INFERENCE FOR CONTAMINATION DISTRIBUTION

  Shan Shan WU;Bai Qi MIAO

  Journal of Systems Science and Complexity. 2001, 14(3): 311-321.

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  For the contamination distribution model F (x) = (1 -α) F1 (x) +αF2 (x), the estimators of o and F1 (x) are studied when F2 (x) is known, and the strong consistency of the two estimators is proved. Then the rate of consistency of estimator a and a testing problem are discussed.
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  A PRICE DUOPOLY GAME MODEL WITH UNCERTAIN PARAMETERS

  Wen Hua HOU;Shou Yang WANG

  Journal of Systems Science and Complexity. 2001, 14(3): 322-326.

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  In this paper, a new subjective equilibrium is given for fuzzy games. We also make a comparison with Bayesian and Nash equilibria for a price setting duopoly game with fuzzy costs.
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  GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS

  San Ling YUAN;Zhi En MA

  Journal of Systems Science and Complexity. 2001, 14(3): 327-336.

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  An SIS epidemic model with a discrete delay has been investigated in this article. By means of Liapunov functional, some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium have been obtained. The influen of time delay on the stability of equilibria is displayed.