THE THRESHOLD OF SURVIVAL FOR PREDATOR－PREY VOLTERRA SYSTEM OF THREE SPECIES IN A POLLUTED ENVIRONMENT

ＴＨＥＴＨＲＥＳＨＯＬＤＯＦＳＵＲＶＩＶＡＬＦＯＲＰＲＥＤＡＴＯＲ－ＰＲＥＹＶＯＬＴＥＲＲＡＳＹＳＴＥＭＯＦＴＨＲＥＥＳＰＥＣＩＥＳＩＮＡＰＯＬＬＵＴＥＤ　ＥＮＶＩＲＯＮＭＥＮＴＴＨＥＴＨＲＥＳＨＯＬＤＯＦＳＵＲＶＩＶＡＬＦＯＲＰＲＥＤＡＴＯＲ－ＰＲ...     

OPTIMAL VALUE FUNCTIONS IN MATHEMATICAL PROGRAMMING AND CONVERGENCE FOR GRADIENT PROJECTION METHOD

ＯＰＴＩＭＡＬＶＡＬＵＥＦＵＮＣＴＩＯＮＳＩＮＭＡＴＨＥＭＡＴＩＣＡＬＰＲＯＧＲＡＭＭＩＮＧＡＮＤＣＯＮＶＥＲＧＥＮＣＥＦＯＲＧＲＡＤＩＥＮＴＰＲＯＪＥＣＴＩＯＮＭＥＴＨＯＤ￥ＷＡＮＧＣｈａｎｇｙｕ；ＺＨＡＯＦｕａｎ（ＩｎＳｔｉｔｕｔｅｏｆＯＲ，Ｑｕ...     

THE GOODNESS-OF-FIT TEST BY USING MULTIVARIATE RANDOM WEIGHTING METHOD

ＴＨＥＧＯＯＤＮＥＳＳ－ＯＦ－ＦＩＴＴＥＳＴＢＹＵＳＩＮＧＭＵＬＴＩＶＡＲＩＡＴＥＲＡＮＤＯＭＷＥＩＧＨＴＩＮＧ　ＭＥＴＨＯＤＴＨＥＧＯＯＤＮＥＳＳ－ＯＦ－ＦＩＴＴＥＳＴＢＹＵＳＩＮＧＭＵＬＴＩＶＡＲＩＡＴＥＲＡＮＤＯＭＷＥＩＧＨＴＩＮＧＭＥＴＨＯＤ...     

A NEW SUFFICIENT CONDITION FOR THE CONVERGENCE OF THE DFP ALGORITHM WITH WOLFE LINE SEARCH

ＡＮＥＷＳＵＦＦＩＣＩＥＮＴＣＯＮＤＩＴＩＯＮＦＯＲＴＨＥＣＯＮＶＥＲＧＥＮＣＥＯＦＴＨＥＤＦＰＡＬＧＯＲＩＴＨＭＷＩＴＨＷＯＬＦＥＬＩＮＥＳＥＡＲＣＨ￥ＸＵＤａｃｈｕａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＱｕｆｕＮｏｒｍａｌＵｎｉｖ...     

THE RATIONALITY OF THE DISCRETE ORDINATES METHOD FOR TIME DEPENDENT NEUTRON TRANSPORT EQUATION

ＴＨＥＲＡＴＩＯＮＡＬＩＴＹＯＦＴＨＥＤＩＳＣＲＥＴＥＯＲＤＩＮＡＴＥＳＭＥＴＨＯＤＦＯＲＴＩＭＥＤＥＰＥＮＤＥＮＴＮＥＵＴＲＯＮＴＲＡＮＳＰＯＲＴＥＱＵＡＴＩＯＮＬＩＸｕｅｚｈｉ；ＺＨＵＧｕａｎｇｔｉａｎ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉ...     

A ROBUSTNESS ANALYSIS OF THE MUSIC AND THE MINIMUM－NORM ALGORITHMS WITH RESPECT TO CORRELMED NOISE

ＡＲＯＢＵＳＴＮＥＳＳＡＮＡＬＹＳＩＳＯＦＴＨＥＭＵＳＩＣＡＮＤＴＨＥＭＩＮＩＭＵＭ－ＮＯＲＭＡＬＧＯＲＩＴＨＭＳＷＩＴＨＲＥＳＰＥＣＴＴＯＣＯＲＲＥＬＭＥＤＮＯＩＳＥ￥ＪＩＡＰｅｉｚｈａｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｔｅｎｃｅ，Ａｃ...     

CONTINUOUS－TIME STOCHASTIC ADAPTIVE CONTROL STABILIZING THE SYSTEM AND MINIMIZING THE QUADRATIC LOSS FUNCTION

ＣＯＮＴＩＮＵＯＵＳ－ＴＩＭＥＳＴＯＣＨＡＳＴＩＣＡＤＡＰＴＩＶＥＣＯＮＴＲＯＬＳＴＡＢＩＬＩＺＩＮＧＴＨＥＳＹＳＴＥＭＡＮＤＭＩＮＩＭＩＺＩＮＧＴＨＥＱＵＡＤＲＡＴＩＣＬＯＳＳＦＵＮＣＴＩＯＮＣＨＥＮＨａｎｆｕ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓ...     

AN EXISTENCE THEOREM FOR RADIAL POSITIVE SOLUTIONS OF NONLINEAR DEGENERATE ELLIPTIC EQUATIONS

ＡＮＥＸＩＳＴＥＮＣＥＴＨＥＯＲＥＭＦＯＲＲＡＤＩＡＬＰＯＳＩＴＩＶＥＳＯＬＵＴＩＯＮＳＯＦＮＯＮＬＩＮＥＡＲＤＥＧＥＮＥＲＡＴＥＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮＳＬＩＵＨａｉｌｉａｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｅｎａｎＮｏ...     

THE GENERALIZED SOLUTIONS OF PBVP FOR INTEGRO-DIFFERENTIAL EQUATIONS

ＴＨＥＧＥＮＥＲＡＬＩＺＥＤＳＯＬＵＴＩＯＮＳＯＦＰＢＶＰＦＯＲＩＮＴＥＧＲＯ－ＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＺＨＵＡＮＧＷａｎ；ＣＨＥＮＹｕｂｏ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｄｏｎｇＮｏｒｍａｌＵｎｉｖｅｒｓ...     

ASYMPTOTIC BEHAVIOR OF THE ESTIMATES OF HIGHER ORDER SPECTRA UNDER TRUNCATED WINDOW

ＡＳＹＭＰＴＯＴＩＣＢＥＨＡＶＩＯＲＯＦＴＨＥＥＳＴＩＭＡＴＥＳＯＦＨＩＧＨＥＲＯＲＤＥＲＳＰＥＣＴＲＡＵＮＤＥＲＴＲＵＮＣＡＴＥＤＷＩＮＤＯＷＹＵＤａｎ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎ...     

人口模型中的分岔现象

在非线性动态系统中可能出现分岔现象,分岔理论为我们研究社会经济系统中的某些异常现象提供了一种新方法。本文研究了人口模型的分岔现象,以此作为示例,体现了用分岔理论研究社会经济系统的过程与步骤。     

THE EQUALITIES OF THE CHERN CLASSES

In this paper we generalize the results of [1]and prove that,for any given 4≤k≤n,theChern classes of hypersurface V_n corresponding to the partitions of k also satisfy some equalities.Furthermore,we obtain the equalities of Chern classes concretely for k=4,5,6.     

THE GEOMETRIC PROPERTIES OF THE SET OF LYAPUNOV MATRICES AND THE STABILITY OF THE MATRIX FAMILY

Given a stable matrix A∈C~(n×n),there are some simple simultaneous inequalities whosecoefficients rely on A.For (?)P~H=P∈C~(n×n),if P satisfies these inequlities,then PA A~HP<0.As anapplication of the main results,the stability of the matrix family is treated.Besides,some geometricproperties of the set of all the Lyapunov matrices of a given stable matrix are considered.     

转换开关完全可靠的贮备系统的模糊可靠性

本文将普通可靠性推广到模-精型模糊可靠性,并求出了贮备系统的各项模糊可靠性指标。     

基于动态沉没成本的更新时机优化模型

将沉没成本概念动态化后构建出设备更新时机选择的系统分析模型。该模型有助于设备更新进机优化问题的正确解决。     

THE TAIL ESTIMATION FOR THE DISTRIBUTION OF THE SUPREMA OF A P-BRIDGE

Let X_1,X_2,…be a sequence of independent random vectors which take values in IR~2 and X_i～P.By the projection pursuit (PP) method,we canconstruct PP type Kolmogrov-Smirnov statistics:K_n=(?) 1/n~(1/2)|sum from i=1 to n(I_|a~rX_(?)(?)t|-P(a~rX_1(?)t))|,where I_([·]) is the indicator function of the set [·] and P is a probability distribution.The limit distribution of K_n is the distribution for the suprema of a P-bridgewhose index is the set of all half spaces in IR~2.Let{W_p([0,(?)])∶(?)∈[0,1]~2} be atwo parameter Brownish bridge.The main result of this paper is(?)for all λ,provided P is the uniform distribution on [0,k_1]×[0,k_2],0相似文献   

THE EQUILIBRIA OF THE SIZE STRUCTURED POPULATION MODEL

In this paper the existence and stability of the positive equilibrium of the size-structured population model are proved by Rabinowitz‘s theorem and the local linearization method.The result here shows that near the bifurcation point where a branch of positive equilibria appears,the stability of the positive equilibrium on the branch is dcpendent on the direction of the bifurcation.The argument for the model of age-structured population is generalized in this paper.     

THE ESTIMATE AND TEST IN THE SYMMETRICAUXILIARY INFORMATION

1.IntroductionLetX,XI,X2,''lXui.i.d.~FO.TheempiricaldistributionFn=Z::,6x./niswellknowntobethenonparametricmaximumlikelihoodestimateofFObasedonXI,X2,'')Xu.Here6:denotesapointmassatx.ThelikelihoodfunctionthatFimaximizesisL(G)=fi:=,G{xi},whereG{xi}istheprobabilityoftheset{xi}underG,xiistheobservedvalueofXiandGisanyprobabilitymeasureonCP.WedefinetheempiricallikelihoodfunctionnL(G)=fiG{xi},whereG<相似文献   

美国空中防御计划(ADI)分析

美国继SDI计划之后又提出了ADI计划。本文叙述了这一防空计划的发展背景与内容,分析了它与SDI计划的关系以及对防空技术产生的影响。     

IMPROVEMENT ON THE TEST IN THE EXPONENTIAL FAMILY

Let x_1,…, x_n be the life spans of n items. Suppose that we start the experi-ment at the time t=0 for all the items simultaneuously aud stop the experiment at the timet=r, where r is a stopping time. The observed data set is Z_n=(x_(1),…, x_(k), r(x)),where x_(i)(i=1,…, n) is the order statistic of x_i, i=1,…, n and k=k(x) is the num-ber of the observed data. Suppose that the distribution family of x_i, i=1,…, n is i.i.d.exponential with life expectation θ>0. For testing the hypothesis H_0: θ≤θ_0 againstH_1: θ>θ_0, we use the total time of experiment S_r=sub from i=1 to k x_(i) +(n-k)r (x) as the teststatistic. We reject H_0 as large value of S_r is observed. In this paper for a given stoppingtime r we construct a stopping time ro so that the resulting test is a best improvement ofthe one, which is based on r, in the sense that the power functions of the two tests are thesame but the test based on r_0 is the one which has the minimnm total experiment time.