当期目录

2009年, 第29卷, 第1期　刊出日期：2009-02-20 上一期    下一期

本期栏目： 论文　

全选:

合并摘要

导出引用 EndNote Reference Manager ProCite BibTeX RefWorks

隐藏/显示图片

论文

Select

ON MARKOV CHAINS IN SPACE-TIME RANDOM ENVIRONMENTS 胡迪鹤; 胡晓予 数学物理学报(英文版). 2009 (1):  1-10.  DOI: 10.1016/S0252-9602(09)60001-1 摘要 ( 899 )   RICH HTML PDF(177KB) ( 1563 )   收藏 In Section 1, the authors establish the models of two kinds of Markov chains in space-time random environments (MCSTRE and MCSTRE(+)) with abstract state space. In Section 2, the authors construct a MCSTRE and a MCSTRE(+) by an initial distribution Φ and a random Markov kernel (RMK) p(γ). In Section 3, the authors establish several equivalence theorems on MCSTRE and MCSTRE(+). Finally, the authors give two very important examples of MCMSTRE, the random walk in spce-time random environment and the Markov branching chain in space-time random environment. 相关文章 | 计量指标

Select

BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE 尚德生; 张同华 数学物理学报(英文版). 2009 (1):  11-24.  DOI: 10.1016/S0252-9602(09)60002-3 摘要 ( 795 )   RICH HTML PDF(308KB) ( 1287 )   收藏 In this article, using multi-parameter perturbation theory and qualitative analysis, the authors studied a kind of cubic system perturbed by degree five and obtained the system that can have 17 limit cycles giving their two kinds of distributions (see Fig.5). 相关文章 | 计量指标

Select

RIEMANN BOUNDARY VALUE PROBLEMS WITH GIVEN PRINCIPAL PART 李卫峰; 杜金元 数学物理学报(英文版). 2009 (1):  25-31.  DOI: 10.1016/S0252-9602(09)60003-5 摘要 ( 933 )   RICH HTML PDF(145KB) ( 1041 )   收藏 In this article, the authors discuss the Riemann boundary value problems with given principal part. First, authors consider a special case and give a classification of the solution class Rn by the way. And then, they consider the general case. The solvable conditions for this problem and its solutions is obtained when it is solvable. 相关文章 | 计量指标

Select

CRITERIA FOR AN ANALYTIC FUNCTION BELONGING TO QK SPACES 乌兰哈斯 数学物理学报(英文版). 2009 (1):  33-44.  DOI: 10.1016/S0252-9602(09)60004-7 摘要 ( 694 )   RICH HTML PDF(172KB) ( 1156 )   收藏 The author gives a mild integral condition in a nondecreasing function K: [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK , a Möbius-invariant space of functions analytic in the unit disk. Their contributions are slight improvements of known results, and the proofs presented here are independently developed. The corresponding results for meromorphic case are also given. 相关文章 | 计量指标

Select

WEIGHTED AVERAGE OF DIRICHLET KERNELS FOR VILENKIN-LIKE SYSTEM 张传洲; 刘培德 数学物理学报(英文版). 2009 (1):  45-55.  DOI: 10.1016/S0252-9602(09)60005-9 摘要 ( 842 )   RICH HTML PDF(177KB) ( 1352 )   收藏 For Vilenkin-like system, the authors define a new operator H* f:=supn|Hnf|, where Hnf is the weighted average for partial sums, and prove that H* is of type (H*p(Gm), Lp(Gm)) for all 1/2 < p ≤ ∞ . As a consequence, the authors prove the operator S*f:=supn|Snf| is of type (p, p) for 1<p< ∞, where Snf is the n-partial sum. 相关文章 | 计量指标

Select

MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE 李晓光;张健;吴永光 数学物理学报(英文版). 2009 (1):  56-64.  DOI: 10.1016/S0252-9602(09)60006-0 摘要 ( 781 )   RICH HTML PDF(175KB) ( 1530 )   收藏 In this article, the authors consider the collapse solutions of Cauchy problem for the nonlinear Schrödinger equation i Ψ t + 1/ 2 △ Ψ- 1 /2 ω2|x|2 ψ+|ψ|2ψ = 0, x ∈ R2, which models the Bose-Einstein condensate with attractive interactions. The authors establish the lower bound of collapse rate as t → T. Furthermore, the L2-concentration property of the radially symmetric collapse solutions is obtained. 相关文章 | 计量指标

Select

THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS 杨灵娥;纪艳珊;郭柏灵 数学物理学报(英文版). 2009 (1):  65-73.  DOI: 10.1016/S0252-9602(09)60007-2 摘要 ( 581 )   RICH HTML PDF(156KB) ( 1416 )   收藏 In this article, the authors show the existence of global solution of two- dimensional viscous Camassa-Holm (Navier-Stokes-alpha) (NS-α) equations. The authors also prove that the solution of the NS-α equations converges to the solution of the 2D NS equations in the inviscid limit and give the convergence rate of the difference of the solution. 相关文章 | 计量指标

Select

HOMOGENIZATION RESULTS FOR ENZYME CATALYZED REACTIONS THROUGH #br# POROUS MEDIA Claudia Timofte 数学物理学报(英文版). 2009 (1):  74-82.  DOI: 10.1016/S0252-9602(09)60008-4 摘要 ( 755 )   RICH HTML PDF(160KB) ( 1264 )   收藏 The aim of this article is to study the effective behavior of the solution of a nonlinear problem arising in the modelling of enzyme catalyzed reactions through the exterior of a domain containing periodically distributed reactive solid obstacles, with period ε. The asymptotic behavior of the solution of such a problem is governed by a new elliptic boundary-value problem, with an extra zero-order term that captures the effect of the enzymatic reactions. 相关文章 | 计量指标

Select

THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES 尚丽娜;高宗升 数学物理学报(英文版). 2009 (1):  83-93.  DOI: 10.1016/S0252-9602(09)60009-6 摘要 ( 704 )   RICH HTML PDF(165KB) ( 1293 )   收藏 The value distribution of entire functions defined by Dirichlet series are studied in this present article. It is proved that entire functions defined by Dirichlet series have the pits property, which improve the relative results on lacunary Taylor series obtained by Littlewood J.E. and Offord A.C. 相关文章 | 计量指标

Select

REDUCED MINIMAL NUMERICAL RANGES OF OPERATORS ON A HILBERT SPACE 杜鸿科;王月清;陆建明 数学物理学报(英文版). 2009 (1):  94-100.  DOI: 10.1016/S0252-9602(09)60010-2 摘要 ( 610 )   RICH HTML PDF(141KB) ( 1306 )   收藏 In this note, the reduced minimal numerical ranges of a bounded linear oper- ators on a Hilbert space are defined and some of its properties are established. 相关文章 | 计量指标

Select

A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL 莫嘉琪;林万涛;王辉 数学物理学报(英文版). 2009 (1):  101-110.  DOI: 10.1016/S0252-9602(09)60011-4 摘要 ( 884 )   RICH HTML PDF(151KB) ( 1383 )   收藏 The El Niño/La Niña and the Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interactions. In this article, the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models. And on the basis of a class of oscillator of ENSO models, using the method of homotopic mapping, the approximation of solution of corresponding problem is studied. It is proved from the results that homotopic method can be used for analyzing the SST anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for ENSO model. 相关文章 | 计量指标

Select

POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY 刘红霞;潘涛 数学物理学报(英文版). 2009 (1):  111-128.  DOI: 10.1016/S0252-9602(09)60012-6 摘要 ( 1012 )   RICH HTML PDF(220KB) ( 1314 )   收藏 This article is concerned with the pointwise error estimates for vanishing vis- cosity approximations to scalar convex conservation laws with boundary. By the weighted error function and a bootstrap extrapolation technique introduced by Tadmor-Tang, an optimal pointwise convergence rate is derived for the vanishing viscosity approximations to the initial-boundary value problem for scalar convex conservation laws, whose weak entropy solution is piecewise C2-smooth with interaction of elementary waves and the boundary. The analysis method in this article can be used to deal with the case in which the piecewise smooth solutions of inviscid have finitely many waves with possible all kinds of interaction with the boundary. 相关文章 | 计量指标

Select

ALGEBROIDAL FUNCTION AND ITS DERIVED #br# FUNCTION IN UNIT CIRCULAR DISC 霍颖莹;孙道椿 数学物理学报(英文版). 2009 (1):  129-139.  DOI: 10.1016/S0252-9602(09)60013-8 摘要 ( 815 )   RICH HTML PDF(174KB) ( 1032 )   收藏 In this article, the authors define the derived function of an algeboidal function in the unit disc, prove it is an algabriodal function, and study the order of algebroidal function and that of its derived function in unit circular disc. 相关文章 | 计量指标

Select

TOEPLITZ-TYPE OPERATORS ON LEBESGUE SPACES 陆善镇;默会霞 数学物理学报(英文版). 2009 (1):  140-150.  DOI: 10.1016/S0252-9602(09)60014-X 摘要 ( 916 )   RICH HTML PDF(180KB) ( 1206 )   收藏 Let L be the infinitesimal generator of an analytic semigroup on L2(Rn) with Gaussian kernel bounds, and L-α/2 be the fractional integrals generated by L for 0 < α< n. Let Tj,1 be the singular integral with nonsmooth kernel related to L, or Tj,1 = I, Tj,2, Tj,4 be the linear operators, which are bounded on Lp(Rn) for 1 < p < 1, and Tj,3 = ±I(j = 1, 2, · · · , m), where I is the identity operator. For b ∈ L1loc(Rn), denote the Toeplitz-type operator by Θba f = ∑m j=1 (Tj,1MbIα Tj,2 + Tj,3MbIα Tj,4), where Mb is a multiplication operator. When b ∈Λβ(0 < < 1), the authors consider the boundedness of Θbα. 相关文章 | 计量指标

Select

ATOMIC DECOMPOSITION FOR B-VALUED R.V.SEQUENCE SPACES 李驭繁;刘培德 数学物理学报(英文版). 2009 (1):  151-159.  DOI: 10.1016/S0252-9602(09)60015-1 摘要 ( 791 )   RICH HTML PDF(165KB) ( 985 )   收藏 In this article, atomic decompositions and the duals of some B-valued r.v. se- quence spaces are investigated. The results show that it closely depends on the geometrical properties of the sequence that take values in. 相关文章 | 计量指标

Select

REMARKS ON JOHN DISKS 楮玉明;程金发;王根娣 数学物理学报(英文版). 2009 (1):  160-168.  DOI: 10.1016/S0252-9602(09)60016-3 摘要 ( 793 )   RICH HTML PDF(157KB) ( 926 )   收藏 Let D R2 be a Jordan domain, D* = R2 \ D, the exterior of D. In this article, the authors obtained the following results: (1) If D is a John disk, then D is an outer linearly locally connected domain; (2) If D* is a John disk, then D is an inner linearly locally connected domain; (3) A homeomorphism f : R2→ R2 is a quasiconformal mapping if and only if f(D) is a John disk for any John disk D R2; and (4) If D is a bounded quasidisk, then D is a John disk, and there exists an unbounded quasidisk which is not a John disk. 相关文章 | 计量指标

Select

NORMAL CRITERION FOR FAMILIES OF HOLOMORPHIC MAPS OF SEVERAL COMPLEX VARIABLES INTO PN(C) WITH MOVING HYPERSURFACES 涂振汉;曹红哲 数学物理学报(英文版). 2009 (1):  169-175.  DOI: 10.1016/S0252-9602(09)60017-5 摘要 ( 1007 )   RICH HTML PDF(144KB) ( 1031 )   收藏 This article gives a normal criterion for families of holomorphic mappings of several complex variables into PN(C) for moving hypersurfaces in pointwise general position, related to an Eremenko’s theorem. 相关文章 | 计量指标

Select

ISOTROPIC WEYL MANIFOLD WITH A SEMI-SYMMETRIC CONNECTION Elif Özkara Canfes 数学物理学报(英文版). 2009 (1):  176-180.  DOI: 10.1016/S0252-9602(09)60018-7 摘要 ( 851 )   RICH HTML PDF(113KB) ( 1584 )   收藏 In this work, it is proved that every isotropic Weyl manifold with a semi- symmetric connection is locally conformal to an Einstein manifold with a semi-symmetric connection. 相关文章 | 计量指标

Select

RAZUMIKHIN-TYPE THEOREMS OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS 周少波;胡适耕 数学物理学报(英文版). 2009 (1):  181-190.  DOI: 10.1016/S0252-9602(09)60019-9 摘要 ( 952 )   RICH HTML PDF(164KB) ( 1594 )   收藏 The stability of stochastic functional differential equation with Markovian switching was studied by several authors, but there was almost no work on the stability of the neutral stochastic functional differential equations with Markovian switching. The aim of this article is to close this gap. The authors establish Razumikhin-type theorem of the neutral stochastic functional differential equations with Markovian switching, and those without Markovian switching. 相关文章 | 计量指标

Select

GENERALIZED HILBERT OPERATOR AND FEJÉR-RIESZ TYPE INEQUALITIES ON THE POLYDISC 李颂孝;Stevo Stevic 数学物理学报(英文版). 2009 (1):  191-200.  DOI: 10.1016/S0252-9602(09)60020-5 摘要 ( 781 )   RICH HTML PDF(185KB) ( 1144 )   收藏 Let f be a holomorphic function on the unit polydisc Dn, with Taylor expan- sion f(z) = ∑∞|k|=0 akzk ≡ ∑∞k1+···+kn=0 ak1,···, knzk11· · · zknn where k = (k1, · · · , kn) ∈ Zn+. The authors define generalized Hilbert operator on Dn by Hγ,n(f)(z) =∑∞|k|=0 i1,···,in≥0 ai1,···,in Πnj=1Γ( γj + kj + 1)Γ(kj + ij + 1) /Γ(kj + 1)Γ(kj + ij +γj + 2)zk, where γ ∈ Cn, such that Rγj > -1, j = 1, 2, · · · , n. An upper bound for the norm of the operator on Hardy spaces Hp(Dn) is found. The authors also present a Fejér-Riesz type inequality on the weighted Bergman space on Dn and find an invariant space for the generalized Hilbert operator. 相关文章 | 计量指标

Select

AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION 刘小松;刘太顺 数学物理学报(英文版). 2009 (1):  201-209.  DOI: 10.1016/S0252-9602(09)60021-7 摘要 ( 734 )   RICH HTML PDF(163KB) ( 1258 )   收藏 In this article, the authors obtain an inequality of homogeneous expansion for f, where f is a quasi-convex mapping (including quasi-convex mapping of type A and quasi-convex mapping of type B) defined on the open unit polydisk in Cn. Meanwhile, the authors also investigate its application. 相关文章 | 计量指标

Select

BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS 杜金元;许娜;张忠祥 数学物理学报(英文版). 2009 (1):  210-224.  DOI: 10.1016/S0252-9602(09)60022-9 摘要 ( 810 )   RICH HTML PDF(209KB) ( 1569 )   收藏 In this article, the authors discussed the boundary behavior for the Cauchy- type integrals with values in a Clifford algebra, obtained some Sochocki–Plemelj formulae and Privalov–Muskhelishvili theorems for the Cauchy-type integral taken over a smooth surface by rather simple method. 相关文章 | 计量指标