2000年, 第13卷, 第3期　刊出日期：2000-07-15

  

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  LOWER BOUND ON K-SEQUENCE

  Wen De CHEN;Torleiv Klove

  Journal of Systems Science and Complexity. 2000, 13(3): 225-230.

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  A new and improved lower bound on the maximal element of a K-sequence is given.
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  A FEW RESULTS ON ARNOLDI'S METHOD AND IOM FOR LARGE NON-HERMITIAN LINEAR SYSTEMS

  Zhong Xiao JIA

  Journal of Systems Science and Complexity. 2000, 13(3): 231-235.

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  Arnoldi's method and the incomplete orthogonalization method (IOM) for large non-Hermitian linear systerns are studied. It is shown that the inverse of a general nonsingular j × j Hessenberg matrir can be updated in O(j2) flops from that of its(j-1)(j-1)principal submatrix.
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  THE ATTAINABILITY OF THE PORTFOLIO OPTIMIZATION UNDER TRANSACTION COSTS

  Shi Meng XU;Yu Zhong ZHANG

  Journal of Systems Science and Complexity. 2000, 13(3): 236-241.

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  We propose the concepts of normalized market and average hedging strategies, and discuss the attainability of the portfolio optimization under transaction costs and multiple stocks, by the extended forms of the martingale approach and the duality thods.Incidentally,we give an upper bound of the expectation of the porfolio at terminal investing time.
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  RESONANCE AND GENERALIZED NAVIER-STOKES EQUATIONS

  Cheng HE

  Journal of Systems Science and Complexity. 2000, 13(3): 250-259.

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  We establish a resonance type existence theorem for generalized evolutional Navier-Stokes equations with periodic boundary conditions and external force depending on velocity, using the Faedo-Galerkin method.
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  ON THE CONSTRUCTION OF ALGEBRAIC-GEOMETRIC CODES

  Hong DU;Zhou Jun LIU;Chang Yan DI

  Journal of Systems Science and Complexity. 2000, 13(3): 260-264.

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  In this paper, a new viewpoint concerning linear codes is presented. A concept level of linear codes is introduced, and a bound of linear code's level is given. It can be used to simplify the construction of Algebraic Geometric Codes.
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  BILEVEL PROGRAMS WITH MULTIPLE FOLLOWERS

  Qian WANG;Feng Mei YANG;Shou Yang WANG;lIU Yi-Hsin

  Journal of Systems Science and Complexity. 2000, 13(3): 265-276.

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  In this paper, we are concerned with bilevel programs with multiple followers. Three new solution concepts are introduced for a bilevel programming problem with multiple followers. First, one sufficient condition for the existence of a Nash equilibrium reaction is presented and the continuity of the reaction set is discussed.
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  ON THE UNIQUENESS THEOREMS FOR THE UNBOUNDED CLASSICAL SOLUTION OF THE MAGNETIC BNARD SYSTEM

  Chang Xing MIAO

  Journal of Systems Science and Complexity. 2000, 13(3): 277-284.

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  In this note we prove two theorems on the uniqueness of unbounded classical solutions of the magnetic Benard system which includes the classical Navier-Stokes equation, the Boussinesq equation and the magnetohydrodynamic equation as special cases.
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  LONGTIME BEHAVIOR FOR THE ACTIVATOR-INHIBITOR MODEL

  Jian Hua WU;Ai Xiang HUANG

  Journal of Systems Science and Complexity. 2000, 13(3): 285-291.

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  The paper first discusses the longtime behavior of the activator-inhibitor model, the existence of the maximal attractor is given. Then using the mathematical induction and the properties of linear semigroup, the regularity result for the maximal attractor is obtained.Next,it is proved that its Hausdorff of fractal dimension is finite.
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  THE UNIFORM BOUNDEDNESS PRINCIPLE IN SOME TOPOLOGICAL VECTOR GROUPS

  Guang Gui DING

  Journal of Systems Science and Complexity. 2000, 13(3): 292-301.

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  It is shown that the famous Banach-Steinhaus theorem can be generalized to some families of nonlinear functionals defined on some topological groups and topological vector space, e.g. the F-spaced lβ(0 <β < 1) and S[a, b].
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  FINITE ELEMENT METHOD AND ANALYSIS FOR CHEMICAL-FLOODING SIMULATION

  Yi Rang YUAN

  Journal of Systems Science and Complexity. 2000, 13(3): 302-308.

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  This article discusses the enhanced oil recovery numerical simulation of the chemical-flooding (such as surfactallts, alcohol, polymers) composed of three-dimensional multicomponent, multiphase and incompressible mixed fluids. The mathematical model can be described as a coupled system of nonlinear partal differential equations with initialboundary value problems.
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  MARKOV FUZZY CRITERION DECISION MODELS

  Cong Bin WU;Yuan Lie LIN

  Journal of Systems Science and Complexity. 2000, 13(3): 309-320.

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  This paper investigates non-stationary discrete time Markov decision models with Borel state spaces and action sets, in which fuzzy criterion functions are employed to be a measure of performance. A class of Markov fuzzy criterion decision models is formulated.
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  ASYMPTOTIC SIMILARITY OF INFINITE-DIMENSIONAL LINEAR SYSTEMS AND APPLICATIONS TO STABILITY

  Jing Bo WU

  Journal of Systems Science and Complexity. 2000, 13(3): 321-326.

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  In this note a generalization of the concept of similarity called asymptotic similarity for infinite-dimensional linear systems is introduced. We show that this asymptotic similarity preserves the spectrum and the exponential growth bound.
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  THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING

  Zhi Qing MENG;Yu Da HU

  Journal of Systems Science and Complexity. 2000, 13(3): 327-332.

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  In this paper, we introduce the concepts of the conesweak subdifferential and the cone-weak direction derivative of convex set-valued mapping in a locally convex topological vector space. We study the relationship between them and obtain some important results.
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  HARMONIC MAPS VERSUS POISSON EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS

  Li MA

  Journal of Systems Science and Complexity. 2000, 13(3): 333-336.

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  Suppose there is a map from a noncompact riemannian manifold into a nonpositively curved riemannian manifold such that its tension field is in a suitable Banach space. Then there exists an intimate relationship between harmonic maps and Poisson equations on the domain manifold.
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  ALGEBRAICALLY CONSTRUCTED COSTAS ARRAYS WITH SMALL NUMBER OF CROSS-COINCIDENCES

  Yi Xian YANG

  Journal of Systems Science and Complexity. 2000, 13(3): 342-249.

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  Eight families of Costas arrays with ideal cross-coincidence are algebraically constructed under the assumptin that the vertical shifts are appropriately bounded.These Costas arrays are useful for designing multiple Costas wavforms with small crossambiguities,if the potential Doppler shifts are restricted to a small portion of the waveform bandwidth.