2000年, 第13卷, 第2期　刊出日期：2000-04-15

  

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  GOODNESS-OF-FIT TEST ON TWO SAMPLES

  Li Xin WANG;Zhen Hai YANG;Wan Kai PANG

  Journal of Systems Science and Complexity. 2000, 13(2): 113-120.

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  In this paper, a new statistics for testing two samples coming from the same population is derived from a simple linear model with an artificial parameter. Its limit distribution is a chi-squared distribution with 2 degrees of freedom under null bypothesis and the limit distribution is a noncentral chi-squared distribution with 2 degrees of freedom under Certain sequence of alternative hypothesis.
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  A NOTE ON COMPLETELY POSITIVE GRAPHS

  XU Changqing

  Journal of Systems Science and Complexity. 2000, 13(2): 121-125.

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  A necessary and sufficient condition is given for a doubly nonnegative matrix realization of a cycle to be completely positive. Also some special non-CP graphs are investigated.
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  HARMLESS DELAYS FOR UNIFORM PERSISTENCE

  Zhen JIN;Zhi En MA

  Journal of Systems Science and Complexity. 2000, 13(2): 126-135.

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  This paper studies a three-dimensional competition system with discrete de- lays. We prove that the time delays are harmless for uniform persistence of the solutions of the system by constructing suitable persistence functionals.
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  THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE

  Yi Xing LIU;Ping CHENG

  Journal of Systems Science and Complexity. 2000, 13(2): 136-145.

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  Cheng[1] gave the limit distribution of weighted PP Cramer-Von Mises test statistic when dimension and sample size tend to infinity simultaneously under the underlying distribution being uniform distribution on SP-1 = {a: ||a|| = 1, a SP-1 }.
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  ACCURACY ANALYSIS OF 12-PARAMETER RECTANGULAR PLATE ELEMENTS WITH GEOMETRIC SYMMETRY

  Dong Yang SHI;Shao Chun CHEN

  Journal of Systems Science and Complexity. 2000, 13(2): 146-151.

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  In this paper, it is proved that the double set parameter rectangular plate elements with geometric symmetry possess a very special convergence property, i.e., the consistency error due to nonconformity is of order O(h2) which is one order higher than that of ACM element and rectangular gneeralized conforming element proposed by Y.Q.
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  SOLUTION OF A CLASS OF INVESTMENT DEVELOPMENTAL EQUATIONS

  Hong Bing JIAO;Jing Yuan YU;Chuan Da QI

  Journal of Systems Science and Complexity. 2000, 13(2): 152-158.

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  The paper discusses the solution of a class of assets developmental equations. We get the existence and uniqueness of global solution, and under the constancy of state obtain the stability of solution.
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  A CHARACTERIZATION OF REALCOMPACT STONIAN SPACES X AND EXTENDED RIESZ HOMOMORPHISMS ON C~∞(X)

  Hong Yun XIAONG;Xin Jun ZHANG

  Journal of Systems Science and Complexity. 2000, 13(2): 159-163.

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  Let X be a Stonian space and C∞ (X) the Riesz space of all extended realvalued continuous functions from X into R(=[-∞ , +∞ ]). By Ω∞ we denote the collection of all extended Riesz homomorphisms φ from C~∞ (X) into R with φ (1x) = 1.
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  SOME DISCUSSION ON THE CONDITIONS OF COMPLETE CONVERGENCE FOR SUMS OF B-VALUED RANDOM ELEMENTS

  Han Ying LIANG

  Journal of Systems Science and Complexity. 2000, 13(2): 164-169.

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  In this paper, we discuss the conditions of complete convergence for partial sums and randomly indexed partial sums of independent but not necessarily identically distributed random elements in type p space, and obtain the characterization of Banach space of type p.Yu.H.'s some results(1989) on the case of real value are extended.
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  MULTILEVEL CORRECTION FOR COLLOCATION SOLUTIONS OF VOLTERRA NONL INEARINTEGRO-DIFFERENTIAL EQUATIONS

  Qi Ya HU;Long PENG

  Journal of Systems Science and Complexity. 2000, 13(2): 170-180.

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  In this paper we give a complete analysis of the convergence acceleration method for collocation solutions of Volterra nonlinear integro-differential equations with smooth kernels. It will be shown that when continuous piecewise polynomials of detree m are used and collocation is based on the lobatto points,the first derivative of this collocation approximation admits,at the knots,an error ecpansion in even powers of the step-size h,beginning with a term in h~(2m).
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  ON ASYMPTOTIC FORMULAE OF EIGENVALUE COUNTING FUNCTIONS OF LAPLACIAN ON AN UNBOUNDED DOMAIN WITH A FRACAL BOUNDARY

  Jiong SUN

  Journal of Systems Science and Complexity. 2000, 13(2): 181-189.

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  In this paper the eigenvalue problem of Laplacian was investigated. Using the estimation of entropy and approximation numbers of Sobolev embeddings, we obtained asymptotic formulae of its eigenvalue counting functions on an unbounded domain (finite measure)with a fractal boundary.
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  EQUITABLE COLORINGS OF LINE GRAPHS AND COMPLETE r-PARTITE GRAPHS

  Wei Fan WANG;Ke Min ZHANG

  Journal of Systems Science and Complexity. 2000, 13(2): 190-194.

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  It is shown in this paper that Meyer's conjecture on the equitable coloring holds for line graphs and complete r-partite graphs.
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  ON THE EQUATION(t) =-ax(t) + bx(x(t))(b > a > 0)

  Wei Ping SUN;Wei Gao GE

  Journal of Systems Science and Complexity. 2000, 13(2): 195-200.

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  The existence and behavior of the solution of the differential-iterative equation x(t) =-ax(t)+bx(x(t))(b > a > 0) are studied. Some errors in [1] are corrected.
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  ESTIMATION METHOD FOR SOLUTIONS TO GENERAL LINEAR SYSTEM OF VOLTERRA INTEGRAL INEQUALITIES INVOLVING ITERATED INTEGRAL FUNCTIONALS

  Qing Hua MA;En Hua YANG

  Journal of Systems Science and Complexity. 2000, 13(2): 201-207.

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  An estimation method for solutions to the general linear system of Volterra- type integral inequalities containing several iterated integral functionals is obtained. This method is based on a result proved by the present second author in Journ.
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  THE DOMAIN DECOMPOSITION TECHNIQUES FOR THE FINITE ELEMENT PROBABILITY COMPUTATIONAL METHODS

  Xiao Qi LIU

  Journal of Systems Science and Complexity. 2000, 13(2): 208-212.

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  In this paper, we shall study the domain decomposition techniques for the finite element probability computational methods. These techniques provide a theoretical basis for parallel probability computational methods.
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  CYCLE TIMES ASSIGNMENT OF NONLINEAR DISCRETE EVENT DYNAMIC SYSTEMS

  Wen De CHEN

  Journal of Systems Science and Complexity. 2000, 13(2): 213-218.

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  In this paper, nonautonomous models of Discrete Event Dynamic Systems (DEDS) are established by min-max function, reachability and observability are defined, the problem on cycle times assignment of DEDS, which corresponds with the important problem on poles assignment of linear systems,is studied.
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  ON THE ORDERING OF A CLASS OF HEXAGONAL CHAINS WITH RESPECT TO MERRIFIELD-SIMMONS INDEX

  Lian Zhu ZHANG

  Journal of Systems Science and Complexity. 2000, 13(2): 219-224.

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  In this paper, we give the ordering of single-corner hexagonal chains with respect to Merrifield-Simmons index. At the same time, the hexagonal chain with the second largest Merrifield-Simmons index is also determined.
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  CIRCUMFERENCES OF CLAW-FREE GRAPHS

  Zhi Ren SUN;Zheng Sheng WU

  Journal of Systems Science and Complexity. 2000, 13(2): 225-225.

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  Let G be a graph.The circumference c(G) of G is the maximum length of cycles in G.G is claw-free if it does mot contain a copy of K_1,3 as an induced subgraph.There have been a great many results in recent years dealing with claw-free graphs.