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2013年, 第33卷, 第6期　刊出日期：2013-11-20 上一期    下一期

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FRACTIONAL 2D-STOCHASTIC CURRENTS Ciprian A. TUDOR, Maria TUDOR 数学物理学报(英文版). 2013 (6):  1507-1521.  DOI: 10.1016/S0252-9602(13)60100-9 摘要 ( 189 )   RICH HTML PDF(206KB) ( 909 )   收藏 Using multiple stochastic integrals and the stochastic calculus for the frac-tional Brownian sheet, we define and we analyze the 2D -fractional stochastic currents. 参考文献 | 相关文章 | 计量指标

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ON A CLASS OF INHOMOGENEOUS, ENERGY-CRITICAL, FOCUSING, NONLINEAR SCHRÖDINGER EQUATIONS 刘朝霞 数学物理学报(英文版). 2013 (6):  1522-1530.  DOI: 10.1016/S0252-9602(13)60101-0 摘要 ( 179 )   RICH HTML PDF(172KB) ( 1158 )   收藏 In this paper, we study the Cauchy problem of the inhomogeneous energycritical Schr¨odinger equation: i∂tu = −Δu−k(x)|u| 4/N−2 u, N ≥3. Using the potential well method, we establish some new sharp criteria for blow-up of solutions in the nonradial case. In particular, our conclusion in some sense improves on the results in [Kenig and Merle, Invent. Math. 166, 645-675 (2006)], where only the radial case is considered in dimensions 3, 4, 5. 参考文献 | 相关文章 | 计量指标

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NONLINEAR STABILITY OF PLANAR SHOCK PROFILES FOR THE GENERALIZED KdV-BURGERS EQUATION IN SEVERAL DIMENSIONS 陈正争, 肖清华 数学物理学报(英文版). 2013 (6):  1531-1550.  DOI: 10.1016/S0252-9602(13)60102-2 摘要 ( 189 )   RICH HTML PDF(235KB) ( 1082 )   收藏 This paper is concerned with the nonlinear stability of planar shock profiles to the Cauchy problem of the generalized KdV-Burgers equation in two dimensions. Our analysis is based on the energy method developed by Goodman [5] for the nonlinear stability of scalar viscous shock profiles to scalar viscous conservation laws and some new decay estimates on the planar shock profiles of the generalized KdV-Burgers equation. 参考文献 | 相关文章 | 计量指标

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DOUBLING MEASURES ON GENERALIZED CANTOR SETS 孙鹏, 王小华 数学物理学报(英文版). 2013 (6):  1551-1560.  DOI: 10.1016/S0252-9602(13)60103-4 摘要 ( 179 )   RICH HTML PDF(164KB) ( 1007 )   收藏 We study the doubling property of binomial measures on generalized ternary Cantor subsets of [0, 1]. We find some new phenomena. There are three different cases. In the first case, we obtain an equivalent condition for the measure to be doubling. In the other cases, we show that the condition is not necessary. Then facts and partial results are discussed. 参考文献 | 相关文章 | 计量指标

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AN ESTIMATE FOR THE MEAN CURVATURE OF SUBMANIFOLDS CONTAINED IN A HOROBALL 邱红兵 数学物理学报(英文版). 2013 (6):  1561-1570.  DOI: 10.1016/S0252-9602(13)60104-6 摘要 ( 192 )   RICH HTML PDF(176KB) ( 1242 )   收藏 We obtain the Omori-Yau maximum principle on complete properly immersed submanifolds with the mean curvature satisfying certain condition in complete Riemannian manifolds whose radial sectional curvature satisfies some decay condition, which generalizes our previous results in [17]. Using this generalized maximum principle, we give an estimate on the mean curvature of properly immersed submanifolds in Hn ×R? with the image under the projection on Hn contained in a horoball and the corresponding situation in hyperbolic space. We also give other applications of the generalized maximum principle. 参考文献 | 相关文章 | 计量指标

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A CLASS OF ENTIRE DIRICHLET SERIES AS AN FK-SPACE AND A FRECHET SPACE Niraj KUMAR, Garima MANOCHA 数学物理学报(英文版). 2013 (6):  1571-1578.  DOI: 10.1016/S0252-9602(13)60105-8 摘要 ( 314 )   RICH HTML PDF(138KB) ( 1308 )   收藏 In the present paper we consider a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra and prove it to be a complex FK-space and a Frechet space. 参考文献 | 相关文章 | 计量指标

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VERTEX-FAULT-TOLERANT CYCLES EMBEDDING ON ENHANCED HYPERCUBE NETWORKS 张艳娟, 刘红美, 刘敏 数学物理学报(英文版). 2013 (6):  1579-1588.  DOI: 10.1016/S0252-9602(13)60106-X 摘要 ( 212 )   RICH HTML PDF(194KB) ( 1185 )   收藏 In this paper, we study the enhanced hypercube, an attractive variant of the hypercube and obtained by adding some complementary edges from a hypercube, and focus on cycles embedding on the enhanced hypercube with faulty vertices. Let Fv be the set of faulty vertices in the n-dimensional enhanced hypercube Qn,k (n ≥ 3, 1 ≤ k ≤ n − 1) When |Fv| = 2, we showed that Qn,k − Fv contains a fault-free cycle of every even length from 4 to 2n − 4 where n (n ≥3) and k have the same parity; and contains a fault-free cycle of every even length from 4 to 2n − 4, simultaneously, contains a cycle of every odd length from n−k+2 to 2n−3 where n (≥3) and k have the different parity. Furthermore, when |Fv| = fv ≤ n − 2, we prove that there exists the longest fault-free cycle, which is of even length 2n − 2fv whether n (n ≥3) and k have the same parity or not; and there exists the longest fault-free cycle, which is of odd length 2n − 2fv + 1 in Qn,k − Fv where n (≥3) and k have the different parity. 参考文献 | 相关文章 | 计量指标

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TOEPLITZ OPERATORS ON HEISENBERG GROUP 谢佩珠, 曹广福 数学物理学报(英文版). 2013 (6):  1589-1597.  DOI: 10.1016/S0252-9602(13)60107-1 摘要 ( 164 )   RICH HTML PDF(174KB) ( 1057 )   收藏 Denote by the Siegel domain in Cn, n > 1. In this paper, we study the essential spectra of Toeplitz operators defined on the Hardy space H2(∂Ω). In addition, the characteristic equation of analytic Toeplitz operators is obtained. 参考文献 | 相关文章 | 计量指标

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A SOLUTION OF A GENERAL EQUILIBRIUM PROBLEM H.R. SAHEBI, A. RAZANI 数学物理学报(英文版). 2013 (6):  1598-1614.  DOI: 10.1016/S0252-9602(13)60108-3 摘要 ( 273 )   RICH HTML PDF(212KB) ( 1001 )   收藏 Under the framework of a real Hilbert space, we introduce a new iterative method for finding a common element of the set of solution of a general equilibrium problem and the set of fixed points of a nonexpansive semigroup. Moreover, a numerical example is presented. This example grantee the main result of the paper. 参考文献 | 相关文章 | 计量指标

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RECONSTRUCTION OF THE ATTENUATED RADON TRANSFORM IN π-SCHEME SHORT-SCAN SPECT 史婷婷, 王金平 数学物理学报(英文版). 2013 (6):  1615-1626.  DOI: 10.1016/S0252-9602(13)60109-5 摘要 ( 188 )   RICH HTML PDF(929KB) ( 1021 )   收藏 In this work, the image reconstruction in π-scheme short-scan single-photon emission computed tomography (SPECT) with nonuniform attenuation is derived in its most general form when πscheme short-scan SPECT entails data acquisition over disjoint angular intervals without conjugate views totaling to  radians. The reconstruction results are based on decomposition of Novikov´s inversion operator into three parts bounded in the L2 sense. The first part involves the measured partial data; the second part is a skew-symmetric operator; the third part is a symmetric and compact contribution. It is showed firstly that the operators involved belong to L(L2(B)). Furthermore numerical simulations are conducted to demonstrate the effectiveness of the developed method. 参考文献 | 相关文章 | 计量指标

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MODIFIED ROPER-SUFFRIDGE OPERATOR FOR SOME SUBCLASSES OF STARLIKE MAPPINGS ON REINHARDT DOMAINS 王建飞 数学物理学报(英文版). 2013 (6):  1627-1638.  DOI: 10.1016/S0252-9602(13)60110-1 摘要 ( 213 )   RICH HTML PDF(195KB) ( 980 )   收藏 In this note, the author introduces some new subclasses of starlike mappings S*Ωn, p2,···, pn( β, A, B) ={f ∈H(Ω) : | i tan β+ (1 − i tanβ ) 2/ρ(z) ∂ρ/∂z (z)J−1f (z)f(z) − 1 − AB/1 − B2 |< B − A/1 − B2}, on Reinhardt domains Ωn, p2,···, pn= {z ∈ Cn : |z1|2+∑nj=2|zj |pj < 1}, where −1 ≤ A < B <1, q = min{p2, · · · , pn} ≥ 1, l = max{p2, · · · , pn} ≥ 2 and β ∈ (−π/2 , π/2 ). Some different conditions for P are established such that these classes are preserved under the following modified Roper-Suffridge operator F(z) =（f(z1) + f′(z1)Pm(z0), (f′(z1)1/m z0）′, where f is a normalized biholomorphic function on the unit disc D, z = (z1, z0) ∈Ωn, p2,···, pn, z0 = (z2, · · · , zn) ∈Cn−1. Another condition for P is also obtained such that the above generalized Roper-Suffridge operator preserves an almost spirallike function of type and order . These results generalize the modified Roper-Suffridge extension oper-ator from the unit ball to Reinhardt domains. Notice that when p2 = p3 = · · · = pn = 2, our results reduce to the recent results of Feng and Yu. 参考文献 | 相关文章 | 计量指标

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EXPECTED PRESENT VALUE OF TOTAL DIVIDENDS IN THE COMPOUND BINOMIAL MODEL WITH DELAYED CLAIMS AND RANDOM INCOME 周杰明, 莫晓云, 欧辉, 杨向群 数学物理学报(英文版). 2013 (6):  1639-1651.  DOI: 10.1016/S0252-9602(13)60111-3 摘要 ( 216 )   RICH HTML PDF(188KB) ( 1190 )   收藏 In this paper, a compound binomial model with a constant dividend barrier and random income is considered. Two types of individual claims, main claims and by-claims, are defined, where every by-claim is induced by the main claim and may be delayed for one time period with a certain probability. The premium income is assumed to another binomial process to capture the uncertainty of the customer´s arrivals and payments. A system of difference equations with certain boundary conditions for the expected present value of total dividend payments prior to ruin is derived and solved. Explicit results are obtained when the claim sizes are Kn distributed or the claim size distributions have finite support. Numerical results are also provided to illustrate the impact of the delay of by-claims on the expected present value of dividends. 参考文献 | 相关文章 | 计量指标

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LELONG-DEMAILLY NUMBERS IN TERMS OF CAPACITY AND WEAK CONVERGENCE FOR CLOSED POSITIVE CURRENTS Fredj ELKHADHRA 数学物理学报(英文版). 2013 (6):  1652-1666.  DOI: 10.1016/S0252-9602(13)60112-5 摘要 ( 330 )   RICH HTML PDF(230KB) ( 1144 )   收藏 In this paper we give a new definition of the Lelong-Demailly number in terms of the CT -capacity, where T is a closed positive current and CT is the capacity associated to T. This derived from some esimate on the growth of the CT -capacity of the sublevel sets of a weighted plurisubharmonic (psh for short) function. These estimates enable us to give another proof of the Demailly´s comparaison theorem as well as a generalization of some results due to Xing concerning the characterization of bounded psh functions. Another problem that we consider here is related to the existence of a psh function v that satisfies the equality CT (K) = ∫K T ^ (ddcv)p, where K is a compact subset. Finally, we give some conditions on the capacity CT that guarantees the weak convergence ukTk → uT, for positive closed currents T, Tk and psh functions uk, u. 参考文献 | 相关文章 | 计量指标

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SOME NORMALITY CRITERIA OF MEROMORPHIC FUNCTIONS 雷春林, 方明亮, 曾翠萍 数学物理学报(英文版). 2013 (6):  1667-1674.  DOI: 10.1016/S0252-9602(13)60113-7 摘要 ( 240 )   RICH HTML PDF(162KB) ( 1181 )   收藏 Let F be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ F, all of whose zeros have multiplicity at least k + 1, and f + a(f(k))n ≠ b in D, then F is normal in D. 参考文献 | 相关文章 | 计量指标

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SZEGÖ|TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES 邵晶晶, 韩亚洲 数学物理学报(英文版). 2013 (6):  1675-1684.  DOI: 10.1016/S0252-9602(13)60114-9 摘要 ( 201 )   RICH HTML PDF(176KB) ( 1268 )   收藏 We introduce noncommutative Hardy-Lorentz spaces and give the Szeg¨o and inner-outer type factorizations of these spaces. 参考文献 | 相关文章 | 计量指标

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PROPERTIES OF THE CONVOLUTION WITH PRESTARLIKE FUNCTIONS Jacek DZIOK 数学物理学报(英文版). 2013 (6):  1685-1694.  DOI: 10.1016/S0252-9602(13)60115-0 摘要 ( 253 )   RICH HTML PDF(155KB) ( 1517 )   收藏 In the paper we investigate convolution properties related to the prestarlike functions and various inclusion relationships between defined classes of functions. Interest-ing applications involving the well-known classes of functions defined by linear operators are also considered. 参考文献 | 相关文章 | 计量指标

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SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS 张光辉, 刘宏伟 数学物理学报(英文版). 2013 (6):  1695-1710.  DOI: 10.1016/S0252-9602(13)60116-2 摘要 ( 183 )   RICH HTML PDF(211KB) ( 1199 )   收藏 In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings. 参考文献 | 相关文章 | 计量指标

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SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES Murat KARAKAS, Mikail ET, Vatan KARAKAYA 数学物理学报(英文版). 2013 (6):  1711-1720.  DOI: 10.1016/S0252-9602(13)60117-4 摘要 ( 231 )   RICH HTML PDF(177KB) ( 1376 )   收藏 In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (β) for this space and also show that it is not rotund where p = (pr) is a bounded sequence of positive real numbers with pr ≥1 for all r ∈N. 参考文献 | 相关文章 | 计量指标

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REGULARITY OF SOLUTIONS TO NONLINEAR TIME FRACTIONAL DIFFERENTIAL EQUATION Mirjana STOJANOVIC 数学物理学报(英文版). 2013 (6):  1721-1735.  DOI: 10.1016/S0252-9602(13)60118-6 摘要 ( 227 )   RICH HTML PDF(216KB) ( 752 )   收藏 We find an upper viscosity solution and give a proof of the existence-uniqueness in the space C∞(t ∈ (0,∞); Hs+22 (Rn)) ∩ C0(t ∈ [0,∞); Hs(Rn)), s ∈ R, to the nonlinear time fractional equation of distributed order with spatial Laplace operator subject to the Cauchy conditions ∫20p( β)D β*u(x, t)d = △xu(x, t) + f(t, u(t, x)), t ≥ 0, x ∈ Rn, u(0, x) = φ(x), ut(0, x) = Ψ (x), (0.1) where △x is the spatial Laplace operator, D β * is the operator of fractional differentiation in the Caputo sense and the force term F satisfies the Assumption 1 on the regularity and growth. For the weight function we take a positive-linear combination of delta distributions concentrated at points of interval (0, 2), i.e., p( β) =∑mk=1bkδ( β−β k), 0 < k < 2, bk > 0, k = 1, 2, · · · , m. The regularity of the solution is established in the framework of the space C∞(t ∈ (0, ∞); C∞(Rn)) ∩C0(t ∈ [0,∞); C∞(Rn)) when the initial data belong to the Sobolev space Hs2(Rn), s ∈ R. 参考文献 | 相关文章 | 计量指标

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RENEWAL THEOREM FOR (L, 1)-RANDOM WALK IN RANDOM ENVIRONMENT 洪文明, 孙鸿雁 数学物理学报(英文版). 2013 (6):  1736-1748.  DOI: 10.1016/S0252-9602(13)60119-8 摘要 ( 187 )   RICH HTML PDF(205KB) ( 919 )   收藏 We consider a random walk on Z in random environment with possible jumps {−L, · · · , −1, 1}, in the case that the environment {ωi : i ∈ Z} are i.i.d.. We establish the renewal theorem for the Markov chain of “the environment viewed from the particle” in both annealed probability and quenched probability, which generalize partially the results of Kesten (1977) and Lalley (1986) for the nearest random walk in random environment on Z, respectively. Our method is based on the intrinsic branching structure within the (L, 1)-RWRE formulated in Hong and Wang (2013). 参考文献 | 相关文章 | 计量指标

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SOME CONVOLUTION AND INCLUSION PROPERTIES FOR SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS INVOLVING INTEGRAL OPERATOR R. M. EL-ASHWAH 数学物理学报(英文版). 2013 (6):  1749-1758.  DOI: 10.1016/S0252-9602(13)60120-4 摘要 ( 206 )   RICH HTML PDF(166KB) ( 1414 )   收藏 Making use of the linear operator Lmp (λ, l) f(z) =1/zp +∑∞k=1[l/l + λk]makzk−p, where l > 0, λ > 0, p ∈ N, m ∈ N0 = N [ {0}, z ∈ U* and f(z) ∈∑p, we introduce two subclasses of meromorphic p-valent analytic functions and investigate convolution and inclusion properties for these classes. 参考文献 | 相关文章 | 计量指标

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MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION 马晓艳, 褚玉明, 王飞 数学物理学报(英文版). 2013 (6):  1759-1766.  DOI: 10.1016/S0252-9602(13)60121-6 摘要 ( 199 )   RICH HTML PDF(156KB) ( 1098 )   收藏 The authors prove some monotonicity properties of functions involving the generalized Agard distortion function ηK(a, t), and obtain some inequalities for ηK(a, t) and relative distortion functions. 参考文献 | 相关文章 | 计量指标

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A COMPOUND POISSON MODEL FOR LEARNING DISCRETE BAYESIAN NETWORKS Abdelaziz GHRIBI, Afif MASMOUDI 数学物理学报(英文版). 2013 (6):  1767-1784.  DOI: 10.1016/S0252-9602(13)60122-8 摘要 ( 215 )   RICH HTML PDF(320KB) ( 1941 )   收藏 We introduce here the concept of Bayesian networks, in compound Poisson model, which provides a graphical modeling framework that encodes the joint probability distribution for a set of random variables within a directed acyclic graph. We suggest an approach proposal which offers a new mixed implicit estimator. We show that the implicit approach applied in compound Poisson model is very attractive for its ability to understand data and does not require any prior information. A comparative study between learned estimates given by implicit and by standard Bayesian approaches is established. Under some conditions and based on minimal squared error calculations, we show that the mixed implicit estimator is better than the standard Bayesian and the maximum likelihood estimators. We illustrate our approach by considering a simulation study in the context of mobile communication networks. 参考文献 | 相关文章 | 计量指标