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2006年, 第26卷, 第3期　刊出日期：2006-07-20 上一期    下一期

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ON A LARGE SAMPLE PROBLEM IN NONLINEAR REGRESSION 刘春玲 数学物理学报(英文版). 2006 (3):  385-394.  DOI: 10.1016/S0252-9602(06)60061-1 摘要 ( 1194 )   RICH HTML PDF(157KB) ( 1096 )   收藏 Assume that in the nonlinear regression model, independent variable sequence {xi,i≥1} is a known constant-vector sequence. This article proposes a condition on {xi}, which can be tested and verified easily. The condition is essential for proving the consistency and asymptotic normality of the estimator. 相关文章 | 计量指标

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ON ALMOST PRECOVERS AND ALMOST PREENVELOPES 毛立新; 丁南庆; 佟文廷 数学物理学报(英文版). 2006 (3):  395-400.  DOI: 10.1016/S0252-9602(06)60062-3 摘要 ( 954 )   RICH HTML PDF(276KB) ( 1368 )   收藏 Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied. 相关文章 | 计量指标

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SOME RESULTS OF MODULAR LIE SUPERALGEBRAS 陈良云; 孟道骥 数学物理学报(英文版). 2006 (3):  401-409.  DOI: 10.1016/S0252-9602(06)60063-5 摘要 ( 992 )   RICH HTML PDF(157KB) ( 1214 )   收藏 In the present article, the authors give some properties on subinvariant subalgebras of modular Lie superalgebras and obtain the derivation tower theorem of modular Lie superalgebras, which is analogous to the automorphism tower theorem of finite groups. Moreover, they announce and prove some results of modular complete Lie superalgebras. 相关文章 | 计量指标

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SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE 代晋军; 杜金元 数学物理学报(英文版). 2006 (3):  410-414.  DOI: 10.1016/S0252-9602(06)60064-7 摘要 ( 1228 )   RICH HTML PDF(123KB) ( 761 )   收藏 In this article, periodic Riemann boundary value problem with period 2aπ along closed smooth contours is discussed, and then singular integral equation with kernel csc{(t-t0)/a} along closed smooth contours restricted in the strip 0zis discussed. Finally, the solutions with singularities of order one for the above two problems are discussed. 相关文章 | 计量指标

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TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES 刘有明 数学物理学报(英文版). 2006 (3):  415-420.  DOI: 10.1016/S0252-9602(06)60065-9 摘要 ( 1023 )   RICH HTML PDF(126KB) ( 993 )   收藏 A necessary condition is given for general nonuniform Gabor frames, which generalizes Benedetto and Walnut's theorem. A sufficient and necessary condition for a class of nonuniform Gabor frames is proved. 相关文章 | 计量指标

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THE PARAMETRIC REPRESENTATION FOR SPIRAL-LIKE MAPPINGS OF TYPE α ON BOUNDED BALANCED PSEUDOCONVEX DOMAINS 刘浩; 张志平; 卢克平 数学物理学报(英文版). 2006 (3):  421-430.  DOI: 10.1016/S0252-9602(06)60066-0 摘要 ( 1193 )   RICH HTML PDF(159KB) ( 1240 )   收藏 Let $om$ be a bounded balanced pseudoconvex domain in Cn that admits a plurisubhamonic defining function of class C2. The authors prove that if f is a spiral-like mapping of type α on $om$, then f can be expressed as a limiting form concerning a Schwarz mapping. Moreover, the characteristics for star-like mappings and spiral-like mappings of type α are obtained. As a direct application, the growth theorem for spiral-like mappings of type α is set up. 相关文章 | 计量指标

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THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS 胡迪鹤 数学物理学报(英文版). 2006 (3):  431-442.  DOI: 10.1016/S0252-9602(06)60067-2 摘要 ( 1138 )   RICH HTML PDF(165KB) ( 1141 )   收藏 The investigation for branching processes has a long history by their strong physics background, but only a few authors have investigated the branching processes in random environments. First of all, the author introduces the concepts of the multitype canonical Markov branching chain in random environment (CMBCRE) and multitype Markov branching chain in random environment (MBCRE) and proved that CMBCRE must be MBCRE, and any MBCRE must be equivalent to another CMBCRE in distribution. The main results of this article are the construction of CMBCRE and some of its probability properties. 相关文章 | 计量指标

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FULLY COUPLED FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS WITH GENERAL MARTINGALE 李娟 数学物理学报(英文版). 2006 (3):  443-450.  DOI: 10.1016/S0252-9602(06)60068-4 摘要 ( 1287 )   RICH HTML PDF(139KB) ( 2288 )   收藏 The article first studies the fully coupled Forward-Backward Stochastic Differential Equations (FBSDEs) with the continuous local martingale. The article is mainly divided into two parts. In the first part, it considers Backward Stochastic Differential Equations (BSDEs) with the continuous local martingale. Then, on the basis of it, in the second part it considers the fully coupled FBSDEs with the continuous local martingale. It is proved that their solutions exist and are unique under the monotonicity conditions. 相关文章 | 计量指标

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CONSTRUCTING UNIFORM DESIGNS WITH TWO- OR THREE-LEVEL 覃红; 张尚立; 方开泰 数学物理学报(英文版). 2006 (3):  451-459.  DOI: 10.1016/S0252-9602(06)60069-6 摘要 ( 1221 )   RICH HTML PDF(150KB) ( 1325 )   收藏 When the number of runs is large, to search for uniform designs in the sense of low-discrepancy is an NP hard problem. The number of runs of most of the available uniform designs is small (≤ 50). In this article, the authors employ a kind of the so-called Hamming distance method to construct uniform designs with two- or three-level such that some resulting uniform designs have a large number of runs. Several infinite classes for the existence of uniform designs with the same Hamming distances between any distinct rows are also obtained simultaneously. Two measures of uniformity, the centered L2-discrepancy (CD, for short) and wrap-around L2-discrepancy (WD, for short), are employed. 相关文章 | 计量指标

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EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION 张正杰; Tassilo Kupper; 胡爱莲; 夏红强 数学物理学报(英文版). 2006 (3):  460-468.  DOI: 10.1016/S0252-9602(06)60070-2 摘要 ( 1025 )   RICH HTML PDF(154KB) ( 1653 )   收藏 In this article, the authors consider the existence of a nontrivial solution for the following equation: -△ u + u =q(x)(|u|2*{1/|x|})u, x∈ R3, where q(x) satisfies some conditions. Using a Min-Max method, the authors prove that there is at least one nontrivial solution for the above equation. 相关文章 | 计量指标

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VARIABLE SELECTION BY PSEUDO WAVELETS IN HETEROSCEDASTIC REGRESSION MODELS INVOLVING TIME SERIES 王清河; 周勇 数学物理学报(英文版). 2006 (3):  469-476.  DOI: 10.1016/S0252-9602(06)60071-4 摘要 ( 1103 )   RICH HTML PDF(148KB) ( 1018 )   收藏 A simple but efficient method has been proposed to select variables in heteroscedastic regression models. It is shown that the pseudo empirical wavelet coefficients corresponding to the significant explanatory variables in the regression models are clearly larger than those nonsignificant ones, on the basis of which a procedure is developed to select variables in regression models. The coefficients of the models are also estimated. All estimators are proved to be consistent. 相关文章 | 计量指标

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EDGE-FACE CHROMATIC NUMBER OF 2-CONNECTED PLANE GRAPHS WITH HIGH MAXIMUM DEGREE 张忠辅; 王维凡; 李敬文; 姚兵; 卜月华 数学物理学报(英文版). 2006 (3):  477-482.  DOI: 10.1016/S0252-9602(06)60072-6 摘要 ( 1180 )   RICH HTML PDF(129KB) ( 1083 )   收藏 The edge-face chromatic number χef(G)$ of a plane graph G is the least number of colors assigned to the edges and faces such that every adjacent or incident pair of them receives different colors. In this article, the authors prove that every 2-connected plane graph G with △(G)≥ |G|-2≥ 9 has χef(G)=△(G). 相关文章 | 计量指标

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WEAK REGULARIZATION FOR A CLASS OF ILL-POSED CAUCHY PROBLEMS 黄永忠; 郑权 数学物理学报(英文版). 2006 (3):  483-490.  DOI: 10.1016/S0252-9602(06)60073-8 摘要 ( 1307 )   RICH HTML PDF(149KB) ( 1184 )   收藏 This article is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator A in a Banach space. A family of weak regularizing operators is introduced. If the spectrum of A is contained in a sector of right-half complex plane and its resolvent is polynomially bounded, the weak regularization for such ill-posed Cauchy problem can be shown by using the quasi-reversibility method and regularized semigroups. Finally, an example is given. 相关文章 | 计量指标

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GLOBAL CLASSICAL SOLUTIONS OF THE BOLTZMANN EQUATION NEAR MAXWELLIANS 喻洪俊 数学物理学报(英文版). 2006 (3):  491-501.  DOI: 10.1016/S0252-9602(06)60074-X 摘要 ( 1266 )   RICH HTML PDF(159KB) ( 1346 )   收藏 Global classical solutions near Maxwellians are constructed for the Boltzmann equation in a periodic box with angular soft cutoff, that is, -3<γ<0. The construction of global solution is based on an energy method used in [9]. 相关文章 | 计量指标

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ISOMETRIES ON THE SPACE s 傅小红 数学物理学报(英文版). 2006 (3):  502-508.  DOI: 10.1016/S0252-9602(06)60075-1 摘要 ( 1255 )   RICH HTML PDF(132KB) ( 1471 )   收藏 In this article, the author presents some results of the isometric linear extension from some spheres in the finite dimensional space s(n). Moreover, the author presents the representation for the onto isometric mappings in the space s. It is obtained that if V is a surjective isometry from the space s onto s with V(0)={0}, then V must be real linear. 相关文章 | 计量指标

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THE RISK MODEL OF THE EXPECTED DISCOUNTED PENALTY FUNCTION WITH CONSTANT INTEREST FORCE 刘莉; 茆诗松 数学物理学报(英文版). 2006 (3):  509-518.  DOI: 10.1016/S0252-9602(06)60076-3 摘要 ( 1308 )   RICH HTML PDF(146KB) ( 1177 )   收藏 In this article, the expected discounted penalty function $\Phi_{\delta,\alpha}(u)$ with constant interest δ and ``discounted factor" exp(-αTδ) is considered. As a result, the integral equation of $\Phi_{\delta,\alpha}(u)$ is derived and an exact solution for $\Phi_{\delta,\alpha}(0)$ is found. The relation between the joint density of the surplus immediately prior to ruin, and the deficit at ruin and the density of the surplus immediately prior to ruin is then obtained based on analytical methods. 相关文章 | 计量指标

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THE CAUCHY PROBLEM FOR A CLASS OF DOUBLY DEGENERATE NONLINEAR #br# PARABOLIC EQUATION 刘朝霞 数学物理学报(英文版). 2006 (3):  519-524.  DOI: 10.1016/S0252-9602(06)60077-5 摘要 ( 1307 )   RICH HTML PDF(128KB) ( 1041 )   收藏 This article studies the Cauchy problem for a class of doubly nonlinear degenerate parabolic equations $\frac{\partial u}{\partial t}={\rm div}(A(|\nabla{B}(u)|)\nabla{B}(u)).$ Under certain conditions, the author considers its regularized problem and establishes some estimates. On the basis of the estimates, the existence and uniqueness of the generalized solutions in BV space are proved. 相关文章 | 计量指标

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SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN RN 王征平; 周焕松 数学物理学报(英文版). 2006 (3):  525-536.  DOI: 10.1016/S0252-9602(06)60078-7 摘要 ( 1364 )   RICH HTML PDF(190KB) ( 1669 )   收藏 For the following elliptic problem -△ u - μu/|x|2={|u|2*(s)-2u}/|x|s+h(x), on RN u ∈ D1,2(RN), N≥3, 0≤μ<\bar\mu=(N-2)2 /4, 0≤ s<2, where 2*(s)=2(N-s)/(N-2) is the critical Sobolev-Hardy exponent, h(x)∈ D1,2(RN))* , the dual space of (D1,2(RN)), with h(x)≥(≠) 0. By Ekeland's variational principle, subsuper solutions and a Mountain Pass theorem, the authors prove that the above problem has at least two distinct solutions if ||h||*<CN,s As (n-s)/(4-2s)(1-μ/{\bar\mu})1/2, CN,s=(4-2s)/(N-2) ((N-2)/(N+2-2s)(N+2-2s)/(4-2s) and As=inf u∈ D1,2(RN)\{0} {∫RN(|▽u|2-μu2/|x|2) dx}/{(∫RN|u|2*(s)/|x|s dx)2/2*(s)}. 相关文章 | 计量指标

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A NOTE ON THE EXISTENCE AND NONEXISTENCE OF GLOBALLY BOUNDED CLASSICAL SOLUTIONS FOR NONISENTROPIC GAS DYNAMICS 林龙威; 黄锡荣 数学物理学报(英文版). 2006 (3):  537-540.  DOI: 10.1016/S0252-9602(06)60079-9 摘要 ( 1375 )   RICH HTML PDF(106KB) ( 1213 )   收藏 Existence of globally bounded classical solution for nonisentropic gas dynamics system has long been studied, especially in the case of polytropic gas. In [4], Liu claimed that sufficient condition has been established. However, the authors find that the argument he used is not true in general. In this article, the authors give a counter example of his argument. Hence, his claim is not valid. The authors believe that it is difficult to impose general conditions on the initial data to obtain globally bounded classical solution. 相关文章 | 计量指标

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AN ITERATIVE EQUATION ON THE UNIT CIRCLE 李晓培; 邓圣福 数学物理学报(英文版). 2006 (3):  541-550.  DOI: 10.1016/S0252-9602(06)60080-5 摘要 ( 1052 )   RICH HTML PDF(164KB) ( 1112 )   收藏 A functional equation of nonlinear iterates is discussed on the circle S1 for its continuous solutions and differentiable solutions. By lifting to R, the existence, uniqueness and stability of those solutions are obtained. Techniques of continuation are used to guarantee the preservation of continuity and differentiability in lifting. 相关文章 | 计量指标

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GLOBAL DYNAMICS OF AN SEIR EPIDEMIC MODEL WITH IMMIGRATION OF DIFFERENT COMPARTMENTS 张娟; 李建全; 马知恩 数学物理学报(英文版). 2006 (3):  551-567.  DOI: 10.1016/S0252-9602(06)60081-7 摘要 ( 1228 )   RICH HTML PDF(210KB) ( 3730 )   收藏 The SEIR epidemic model studied here includes constant inflows of new susceptibles, exposeds, infectives, and recovereds. This model also incorporates a population size dependent contact rate and a disease-related death. As the infected fraction cannot be eliminated from the population, this kind of model has only the unique endemic equilibrium that is globally asymptotically stable. Under the special case where the new members of immigration are all susceptible, the model considered here shows a threshold phenomenon and a sharp threshold has been obtained. In order to prove the global asymptotical stability of the endemic equilibrium, the authors introduce the change of variable, which can reduce our four-dimensional system to a three-dimensional asymptotical autonomous system with limit equation. 相关文章 | 计量指标

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SOME PROPERTIES OF MULTIPLE TAYLOR SERIES AND RANDOM TAYLOR SERIES 余家荣 数学物理学报(英文版). 2006 (3):  568-576.  DOI: 10.1016/S0252-9602(06)60082-9 摘要 ( 1137 )   RICH HTML PDF(143KB) ( 1262 )   收藏 Some polar coordinates are used to determine the domain and the ball of convergence of a multiple Taylor series. In this domain and in this ball the series converges, converges absolutely and converges uniformly on any compact set. Growth and other properties of the series may also be studied. For some random multiple Taylor series there are some corresponding properties. 相关文章 | 计量指标