1999年, 第12卷, 第4期　刊出日期：1999-10-15

  

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  ON THE SPECTRUM OF THE LINEAR TRANSPORT OPERATOR IN L~P SPACE

  Wen Long WANG;Ming Zhu YANG

  Journal of Systems Science and Complexity. 1999, 12(4): 289-291.

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  The spectrum of the transport operator A in a nonhomogeneous slab withcontinuous energy is discussed in consideration of anisotropic scattering and fission. Weshow the relative compactness of the perturbation K = A - B, investigate the spectrum of A,especially obtain the essential spectrum and the asymptotic point spectrum in L~1 space which is the most natural space for the transport theory.
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  METHODS OF ESTIMATION FOR QUASI-INDEPENDENCE IN CONTINGENCY TABLES

  Dong Qian WANG;Nancy B.WU

  Journal of Systems Science and Complexity. 1999, 12(4): 292-298.

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  Various quasi-independence models which have been considered in the literature are examined. Methods of obtaining maximum likelihood estimates for these modelsare compared. A new, very simple method is obtained.
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  CHARACTERISTIC FINITE DIFFERENCE METHODS FOR POSITIVE SEMIDEFINITE PROBLEM OF TWO-PHASE(OIL AND WATER)MISCIBLE FLOW IN POROUS MEDIA

  Yi Rang YUAN

  Journal of Systems Science and Complexity. 1999, 12(4): 299-306.

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  Numerical simulation of two-phase (oil and water) miscible flow in porousmedia is the mathematical foundation in energy problems. For a two-dimensional posi-tive problem, Douglas put forward the well-known characteristic finite difference method.
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  THE SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS

  Qin YE;Jia Qi MO

  Journal of Systems Science and Complexity. 1999, 12(4): 307-312.

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  The singularly perturbed problems for elliptic systems are considered. Undersuitable conditions, using the comparison theorem the asymptotic behavior of solution forthe boundary value problems are studied.
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  UNIFORM ALGORITHM FOR TRANSIENT SOLUTIONS OF GENERALIZED QUASI-BIRTH-DEATH PROCESSES

  Xue Ming YUAN

  Journal of Systems Science and Complexity. 1999, 12(4): 313-322.

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  A uniform algorithm for transient solutions of generalized quasi-birth-deathprocesses with an arbitrary initial distribution is developed in this paper. This algorithmis an effective tool for computing the transient queue length distributions of many queuing models which appear quite often in computer and communication systems.
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  A MULTISTEP CHARACTERISTIC FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL NONLINEAR CONVECTION-DIFFUSION PROBLEMS

  Xi Jun YU

  Journal of Systems Science and Complexity. 1999, 12(4): 323-334.

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  A multistep characteristic finite difference method is given on the basis ofthe linear and quadratic interpolations for solving two-dimensional nonlinear convection-diffusion problems. The convergence of approximate solutions is obtained in L2.
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  FURTHER RESULTS ON THE ASYMPTOTIC BEHAVIOUR OF MINIMUM AVERAGE HAMMING DISTANCE FOR BINARY CODES

  Zhao Zhi ZHANG

  Journal of Systems Science and Complexity. 1999, 12(4): 335-337.

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  In this paper, we prove that for any integer a (1< a<2n), the code A of|A| = a codewords with minimum Hamming weight is an asymptotic optimal solution forthe minimum average Hamming distance problem posed by Ahlswede and Katona.
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  DISTURBANCE ATTENUATION VIA STATE-FEEDBACK CONTROLLERS

  Wan Yi CHEN;Feng Sheng TU

  Journal of Systems Science and Complexity. 1999, 12(4): 338-343.

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  This paper focuses on the H optimal control problem in which the wholestate is available for feedback. We show that in attenuating the disturbance, the Hoptimal performance of dynamic state-feedback is no better than that of static state-feedback,which generalizes current trsults for linear time-invariant systems with no direct transmission form the disturbance and control input to the controlled output.
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  PERMANENCE AND PERIODIC SOLUTION OF NONAUTONOMOUS DELAY LOTKA-VOLTERRA DIFFUSION SYSTEM

  Yan Ni XIAO

  Journal of Systems Science and Complexity. 1999, 12(4): 344-349.

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  This paper analyzes permanence, existence and global attractivity of positiveperiodic solution in nonautonomous delay diffusive Lotka-Volterra competitive system fora patchstyle environment, by applying the invariant rectangle and Lyapunov functional.
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  SUPERCONVERGENCE OF THE MORTAR FINITE ELEMENT APPROXIMATION TO A PARABOLIC PROBLEM

  Hong GU;Ai Hui ZHOU

  Journal of Systems Science and Complexity. 1999, 12(4): 350-356.

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  In this paper, a superconvergence in the mortar finite element approximationfor a elliptic problem has been carried over to a parabolic problem. Both the standardsemidiscrete and the Crank-Nicolson schemes are discussed.
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  THE RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR FIRST ORDER COMPLEX EQUATIONS OF MIXED TYPE

  Guo Chun WEN

  Journal of Systems Science and Complexity. 1999, 12(4): 357-365.

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  In this Paper the Riemann--Hilbert boundary value problem for first orderquasilinear complex equations of mixed (elliptic- hyperbolic ) type is discussed. Firstly, therepresentation theorem is given, afterwards by using the method of successive iterations.
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  ASYMPTOTIC STABILITY OF SOLUTION TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR SCALAR VISCOUS CONSERVATION LAWS CORRESPONDING TO RAREFACTION WAVES

  Hong Xia LIU;Tao PAN

  Journal of Systems Science and Complexity. 1999, 12(4): 366-377.

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  This paper is concerned with the asymptotic behaviors of solutions of thegeneral initial-boundary value problem to scalar viscous conservation law uxx on R+ with the conditions u(0, t) = u-(t) u-(t ),u(x,0) = u_0(x) u+(x-), where f"(u) > 0 for all u under consideration.
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  THE FINITE ELEMENT PROBABILITY COMPUTATIONAL METHOD FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

  Xiao Qi LIU;Jin Wang LIU

  Journal of Systems Science and Complexity. 1999, 12(4): 378-382.

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  In this paper, we analyze the Galerkin approximation of parabolic integro-differential equation. A probability computational method for the equation is proposed.The method is based on the backward Euler scheme,the left rectangle rule and the probability transfer matrices.