1999年, 第12卷, 第1期　刊出日期：1999-01-15

  

• 全选
  |

论文
• Select
  UPPER AND LOWER SOLUTIONS METHODS FOREXISTENCE OF PERIODIC SOLUTIONS OFDUFFING EQUATION

  Cheng Wen WANG

  Journal of Systems Science and Complexity. 1999, 12(1): 1-007.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  This paper gives upper and lower solutions methods for the existence of solutions of periodic BVP for second order Duffing equation x" + kx'+ g(t, x) = 0, x(0) = x(T), x'(0) = x'(T),where g is a Caratheodory function. As an application, some existence theorems are given tfor the equationx''+kz'+g(t,x)=s,x(0)=x(T),x'(0)=x'(T),with respect to a real parameter s.
• Select
  THE EXISTENCE OF JENSEN BOUNDARY POINTS IN COMPLEX BANACH SPACES

  Shang Quan BU

  Journal of Systems Science and Complexity. 1999, 12(1): 8-012.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  We show that a complex Banach space X has the analytic Radon-Nikodym property if and only if every non-empty closed bounded subset of X has a Jensen boundary point. If we suppose furthermore that X is isomorphic to its square X~2, X has the analytic Radon-Nikodym property if and only if every non-empty Jensen convex subset of X has a Jensen boundary point.
• Select
  THE ASYMPTOTICALLY OPTIMAL EMPIRICALBAYES ESTIMATION IN ONE WAY ANOVA MODEL

  Lai Sheng WEI

  Journal of Systems Science and Complexity. 1999, 12(1): 13-022.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  Consider the one-way analysis of variance (ANOVA) model Yij=μ+αi+∈ij,i=1,…,a; j = 1,…,b, ∈ij～N(0, σ2). By using the kernel estimation of multivariate density function and its partial derivatives and making use of the estimators of nuisance parameters μ and σ2,we consrruct the empirical Bayes(EB)estimators of parameter vector α=(α1,…α2).
• Select
  CONVERGENCE IN THE CHEMOSTAT MODELWITH DELAYED RESPONSE IN GROWTH

  Wen Di WANG;Zhi En MA

  Journal of Systems Science and Complexity. 1999, 12(1): 23-032.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  The asymptotic behavior of solutions of a model for competition between two microorganisms in the chemostat is studied. The model incorporates time delays that allow for cellular components of each competing species to be structured to include unassimilated or stored nutrient and allow uptake functions to be nonmonotones.
• Select
  ASSESSMENT OF LOCAL INFLUENCE FOR F-TESTIN LINEAR REGRESSION MODEL

  Lei SHI

  Journal of Systems Science and Complexity. 1999, 12(1): 33-039.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  In linear regression model, the influence on the regression coefficients has beed paid great attention and other aspects such as the influence on confidence regions have also been studied. However, influence on F-test in linear regression model received few xonsideration.
• Select
  ON THE STRICT EFFICIENCY IN A LOCALLYCONVEX SPACE

  Wan Tao FU;Yong Hong CHENG

  Journal of Systems Science and Complexity. 1999, 12(1): 40-044.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  In this paper, a new concept, strictly efficient points in locally convex spaces,is introduced, and scalar characterization of a strictly efficient point is established. Furthermore, we study the best approximation property for a strictly efficient point by an equivalent norm.
• Select
  A GENERALIZATION OF ROUTH-HURWITZCRITERION

  Xiao Jing YANG

  Journal of Systems Science and Complexity. 1999, 12(1): 45-048.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  This paper presents a criterion for a polynomial to be non-unstable and for the calculation of the number of eigenvalues which have zero real parts and negative real parts.It generalizes the Routh-Hurwitz criterion and is very convenient in many applicatons.
• Select
  THE CHARACTERISTIC OF EVENTUALLYUNIFORMLY CONTINUOUS C0 SEMIGROUPSON A HILBERT SPACE

  Liang Ping ZHANG

  Journal of Systems Science and Complexity. 1999, 12(1): 49-054.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  A full characterization is given, in terms of the resolvent R(λ; A) of the infinitesimal generator A of a C0 semigroup T(t) on a Hilbert spaced which assures the continuity for t > t0 (t0 0) of T(t) in the uniform operator topology.
• Select
  A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS

  Jia Qi MO

  Journal of Systems Science and Complexity. 1999, 12(1): 55-058.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  The singularly perturbed nonlinear problem εy" = f(x, y')y + g(x, y'), 0
• Select
  EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS

  Ben Jin XUAN;Zu Chi CHEN

  Journal of Systems Science and Complexity. 1999, 12(1): 59-069.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  This paper is concerned with the nonexistence and existence, multiplicity and bifurcation of solutions for critical semilinear polyharmonic equations. Following the ideas due to Brezis and Nirenberg[1], we obtain the extensions of [1] and partially confirm Pucci and Serrin~[2] conjecture;by employing the abstract critical point theorem,the multiple results and bifurcation for the problem are obtained.
• Select
  SOME NEW RESULTS ON THE CONFIDENCELIMITS FOR RELIABILITY PARAMETERS IN THECASE OF NO FAILURES

  Wan Long SUN;Jia Ding CHEN

  Journal of Systems Science and Complexity. 1999, 12(1): 70-081.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  In reliability tests, Type I censored data are common. For products of high quality, real life length is much longer than the censoring time. A group of items of some kind of product are put into reliability experiment. In case every item is censored,there is no failure.
• Select
  THE BOREL STATE SPACE SEMI-MARKOVDECISION PROCESS WITH EXPECTED TOTAL REWARDS IN A SEMI-MARKOV ENVIRONMENT

  Chen XU

  Journal of Systems Science and Complexity. 1999, 12(1): 82-091.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  This paper investigates the Borel state space semi-Markov decision process (SMDP) with the criterion of expected total rewards in a semi-Markov environment. It describes a system which behaves like a SMDP except that the system is influenced by a semi-Markov process.
• Select
  BEHAVIOR OF STOCHASTIC APPROXIMATIONALGORITHM IN ROOT SET OF REGRESSIONFUNCTION

  Guan Jun WANG;Han Fu CHEN

  Journal of Systems Science and Complexity. 1999, 12(1): 92-096.

  摘要 ( ) PDF全文 ( )   可视化   收藏

  By convergence of a stochastic approximation (SA) algorithm one usually means that the distance d(xn, J) between the estimate xn given by the algorithm and the root set J of the regression function tends to zero. This paper characterizes the proerties of the regression function tends to zero.