2000年, 第13卷, 第1期　刊出日期：2000-01-15

  

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  Global attractivity in a periodic delay single species model

  Yong Kun LI

  Journal of Systems Science and Complexity. 2000, 13(1): 1-006.

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  In this paper,we establish the existence of a positive periodic solution for a periodic delay single species population growth model,and obtain sufficient conditions for the periodic solution to be globally attractive.
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  The M/M/c queue with PH synchronous vacations

  Nai Shuo TIAN;Quan Lin LI

  Journal of Systems Science and Complexity. 2000, 13(1): 7-016.

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  In this Paper,we give a detailed analysis of the M/M/c queue with Phase Type synchronous vacation.Two models are considered.Firsty,the vacation strategy is a multiple synchronous vacation.Secondly,only a single vacation is taken each time.
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  On vector optimization when the ordering cone has an empty interior

  Xun Hua GONG

  Journal of Systems Science and Complexity. 2000, 13(1): 17-022.

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  In this paper,we present a sufficient and necessary condition for the existence of the Lagrange multiplier for the general convex vector optimization problem In the condition,we may allow that the constraint cone has an empty interior.
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  Empirical likelihood ratio confidence intervals for various differences of two populations

  Yong Song QIN;Lin Cheng ZHAO

  Journal of Systems Science and Complexity. 2000, 13(1): 23-030.

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  Recently the empirical likelihood has been shown to be very useful in nonparametric models.Qin combined the empirical likelihood thought and the parametric likelihood method to construct confidence intervals for the difference of two poprlation means in a semiparametric model.
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  Optimal control of a class of distributed parameter delay systems

  Xiao Ling XIANG

  Journal of Systems Science and Complexity. 2000, 13(1): 31-041.

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  In this paper we consider the optimal control problem for a class of infinite dimensional delay evolution systems whose principal operator is the infinitesimal generator of an analytic semigroup.We give an existence result of $$\alpha$$-solutions of the controlled systems and prove the existende of solutions for an extremal problem subject to such systems.
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  The normality of Cayley graphs of simple group A_5 with small valencies

  Da Chang GUO

  Journal of Systems Science and Complexity. 2000, 13(1): 42-047.

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  Let G be a finite group and S a subset of G not containing the identity element 1.We define the Cayley(di)graph X=Cay(G,S)of G with respect to S by V(X)=G,E(X)={(g,sg)|g\in G,s\in S}.
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  On indefinite sublinear elliptic equations

  Hai Tao YANG;Shao Ping WU

  Journal of Systems Science and Complexity. 2000, 13(1): 48-058.

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  The existence, uniqueness, multicilty and asymptotie behavior of the solutions to the equation;are studied by means of variational and sub-sup-solution methods,where 0
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  A potential reduction algorithm for monotone variational inequality problems

  Xi Ming LIANG;Cheng Xian XU;Jian Bo HU

  Journal of Systems Science and Complexity. 2000, 13(1): 59-066.

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  A potential reduction algorithm is proposed for the solution of monotone variationalinequality problems.At each step of the algorith.,a system of linear equations is solved to get the search direction and the Armijo's rule is used to determine the stepsize.
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  Bounded composition operators on Hardy spaces (II)

  Guang Fu CAO;Chang Yong ZHONG

  Journal of Systems Science and Complexity. 2000, 13(1): 67-073.

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  In this paper,the characterizaton of semi-Freholm composition operators from H~2(Bm) to H~2(Bn) is given.As an application of the composition operators,the extension properites of analytic maps are discussed.
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  Square and rhombus central configurations

  He SHI;Feng Mei ZOU

  Journal of Systems Science and Complexity. 2000, 13(1): 74-084.

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  In this paper,we consider the flat central configurations of bodies using the characteristic set method.We completely solve two special cases of four planets,namely,the square and the rhombus.
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  Quasilinear elliptic boundary value problems with discontinuous nonlinearities

  Zhen Hai LIU

  Journal of Systems Science and Complexity. 2000, 13(1): 85-091.

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  In this paper we shall consider a discontinuous nonlinear nonmonotone elliptic boundary value problem,i.e a quasilinear elliptic hemivariational inequality.Tis kind of problems is strongly motivated by various problems in mechanics.
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  The singular perturbation of nonlocal boundary value problems for nonlinear elliptic equation of fourth order

  Yu Sen CHEN

  Journal of Systems Science and Complexity. 2000, 13(1): 92-096.

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  A class of singularly pertubed nonlocal problems for nonlinear elliptie equation of fourth order are considered.The uniformly valid asymptotic expansion of the solution is obtained.
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  The degeneracy problem of two-dimensional linear recurring arrays

  Lei HU

  Journal of Systems Science and Complexity. 2000, 13(1): 97-107.

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  The degeneracy degree and degeneracy position sets of a two-dimensional linear recurrence relation set are characterized.The fact that a linear recurring array is essentially a doubly periodic array is shown.By using the grobner base theory,a calculaton formula for degeneracy degree is given and the existence of a special degeneracy position set is proved.In the present paper,the degeneracy problem of the two-dimensional linear recurring arrays is completely solved.
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  Existence of authentication codes

  Rong Quan FENG

  Journal of Systems Science and Complexity. 2000, 13(1): 108-112.

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  In the present paper necessary and sufficient conditions for the existence of an authentication code,a Cartesian authentication code,and those codes with optinal pi are given.