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2013年, 第33卷, 第2期　刊出日期：2013-03-20 上一期    下一期

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INTERPOLATION SOLUTION TO A BOUNDARY VALUE PROBLEM OF HARMONIC FIELD 涂天亮, 莫炯 数学物理学报(英文版). 2013 (2):  321-332.  DOI: 10.1016/S0252-9602(13)60001-6 摘要 ( 433 )   RICH HTML PDF(194KB) ( 822 )   收藏 This article is a improvement on author’s early work (ActaMathematica Scientia, Vol.30 No.2 Ser.A 2010). In this article, there are two new contributions: 1) The restrictive conditions on approximation domain boundary is improved essentially. 2) The Fejér points is extended by perturbed Fejér points with stable order of approximation. 参考文献 | 相关文章 | 计量指标

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DOUBLE-MARKOV RISK MODEL 莫晓云, 周杰明, 欧辉, 杨向群 数学物理学报(英文版). 2013 (2):  333-340.  DOI: 10.1016/S0252-9602(13)60002-8 摘要 ( 412 )   RICH HTML PDF(171KB) ( 806 )   收藏 Given a new Double-Markov risk model DM = (μ, Q, ν, H; Y, Z) and Double-Markov risk process U = {U(t), t ≥ 0}. The ruin or survival problem is addressed. Equations which the survival probability satisfied and the formulas of calculating survival probability are obtained. Recursion formulas of calculating the survival probability and analytic expression of recursion items are obtained. The conclusions are expressed by Q matrix for a Markov chain and transition probabilities for another Markov Chain. 参考文献 | 相关文章 | 计量指标

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GLOBAL STABILITY OF EXTENDED MULTI-GROUP SIR EPIDEMIC MODELS WITH PATCHES THROUGH MIGRATION AND CROSS PATCH INFECTION Yoshiaki MUROYA, Yoichi ENATSU, Toshikazu KUNIYA 数学物理学报(英文版). 2013 (2):  341-361.  DOI: 10.1016/S0252-9602(13)60003-X 摘要 ( 659 )   RICH HTML PDF(227KB) ( 1117 )   收藏 In this article, we establish the global stability of an endemic equilibrium of multi-group SIR epidemic models, which have not only an exchange of individuals between patches through migration but also cross patch infection between different groups. As a result, we partially generalize the recent result in the article [16]. 参考文献 | 相关文章 | 计量指标

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ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION Jeong Ja BAE, Seong Sik KIM 数学物理学报(英文版). 2013 (2):  362-374.  DOI: 10.1016/S0252-9602(13)60004-1 摘要 ( 468 )   RICH HTML PDF(180KB) ( 1024 )   收藏 In this article, we consider the global existence and decay rates of solutions for the transmission problem of Kirchhoff type wave equations consisting of two physically different types of materials, one component being a Kirchhoff type wave equation with time dependent localized dissipation which is effective only on a neighborhood of certain part of boundary, while the other being a Kirchhoff type viscoelastic wave equation with nonlinear memory. 参考文献 | 相关文章 | 计量指标

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A NOTE ON “THE CAUCHY PROBLEM FOR COUPLED IMBQ EQUATIONS” 郭红霞, 陈国旺 数学物理学报(英文版). 2013 (2):  375-392.  DOI: 10.1016/S0252-9602(13)60005-3 摘要 ( 525 )   RICH HTML PDF(242KB) ( 530 )   收藏 In this article, we prove that the Cauchy problem for a N-dimensional system of nonlinear wave equations utt − aΔutt = Δf(u, v), x ∈ RN, t > 0, vtt − aΔvtt = Δg(u, v), x ∈ RN, t > 0 admits a unique global generalized solution in C3([0, ∞); W m, p(RN) ∩L∞(RN)∩L2(RN))(m ≥ 0 is an integer, 1 ≤ p < 1 ) and a unique global classical solution in C3([0, ∞); W m,p∩L∞ ∩L2) (m > 2 + N/p ), the sufficient conditions of the blow up of the solution in finite time are given, and also two examples are given. 参考文献 | 相关文章 | 计量指标

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THE HILBERT BOUNDARY VALUE PROBLEM FOR GENERALIZED ANALYTIC FUNCTIONS IN CLIFFORD ANALYSIS 司中伟, 杜金元 数学物理学报(英文版). 2013 (2):  393-403.  DOI: 10.1016/S0252-9602(13)60006-5 摘要 ( 117894 )   RICH HTML PDF(185KB) ( 512 )   收藏 Let R0,n be the real Clifford algebra generated by e1, e2, … , en satisfying eiej +ejei = −2δij , i, j = 1, 2, … , n. e0 is the unit element. Let Ω be an open set. A function f is called left generalized analytic in Ω if f satisfies the equation Lf = 0, (0.1) where L = q0e0∂x0 + q1e1∂x1 + … + qnen∂xn, qi > 0, i = 0, 1, … , n. In this article, we first give the kernel function for the generalized analytic function. Further, the Hilbert boundary value problem for generalized analytic functions in Rn+1+ will be investigated. 参考文献 | 相关文章 | 计量指标

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NONTRIVIAL SOLUTIONS FOR SEMILINEAR DIRICHLET FORMS VIA MORSE THEORY 方飞, 谭忠 数学物理学报(英文版). 2013 (2):  404-412.  DOI: 10.1016/S0252-9602(13)60007-7 摘要 ( 398 )   RICH HTML PDF(164KB) ( 552 )   收藏 Using variational methods and Morse theory, we obtain some existence results of multiple solutions for certain semilinear problems associated with general Dirichlet forms. 参考文献 | 相关文章 | 计量指标

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ON THE CHARACTERIZATION OF CYCLIC CODES OVER TWO CLASSES OF RINGS 刘修生 数学物理学报(英文版). 2013 (2):  413-422.  DOI: 10.1016/S0252-9602(13)60008-9 摘要 ( 630 )   RICH HTML PDF(177KB) ( 1078 )   收藏 Let R be a finite chain ring with maximal ideal （γ） and residue field F, and let γ be of nilpotency index t. To every code C of length n over R, a tower of codes C = (C : γ0) ⊆ (C : γ) ⊆ … ⊆ (C : γi) ⊆ … ⊆ (C : γt−1) can be associated with C, where for any r ∈ R, (C : r) = {e ∈ Rn | re ∈ C}. Using generator elements of the projection of such a tower of codes to the residue field F, we characterize cyclic codes over R. This characterization turns the condition for codes over R to be cyclic into one for codes over the residue field F. Furthermore, we obtain a characterization of cyclic codes over the formal power series ring of a finite chain ring. 参考文献 | 相关文章 | 计量指标

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ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC#br# COEFFICIENTS 孔荫莹, 孙道椿 数学物理学报(英文版). 2013 (2):  423-429.  DOI: 10.1016/S0252-9602(13)60009-0 摘要 ( 456 )   RICH HTML PDF(153KB) ( 518 )   收藏 The main purpose of this article is to study the existence theories of global meromorphic solutions for some second-order linear differential equations with meromorphic coefficients, which perfect the solution theory of such equations. 参考文献 | 相关文章 | 计量指标

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MULTIPLIER OPERATORS AND EXTREMAL FUNCTIONS RELATED TO THE DUAL DUNKL-SONINE OPERATOR Fethi SOLTANI 数学物理学报(英文版). 2013 (2):  430-442.  DOI: 10.1016/S0252-9602(13)60010-7 摘要 ( 453 )   RICH HTML PDF(187KB) ( 1622 )   收藏 We study the dual Dunkl-Sonine operator tSk,? on Rd, and give expression of tSk,?, using Dunkl multiplier operators on Rd. Next, we study the extremal functions f *λ, λ > 0 related to the Dunkl multiplier operators, and more precisely show that {f * λ}λ>0 converges uniformly to tSk,?(f) as λ →0+. Certain examples based on Dunkl-heat and Dunkl-Poisson kernels are provided to illustrate the results. 参考文献 | 相关文章 | 计量指标

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POSITIVE SOLUTIONS FOR CRITICAL QUASILINEAR ELLIPTIC EQUATIONS WITH MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS 丁凌, 唐春雷 数学物理学报(英文版). 2013 (2):  443-470.  DOI: 10.1016/S0252-9602(13)60011-9 摘要 ( 634 )   RICH HTML PDF(294KB) ( 1050 )   收藏 The existence and multiplicity of positive solutions are studied for a class of quasi-linear elliptic equations involving Sobolev critical exponents with mixed Dirichlet-Neumann boundary conditions by the variational methods and some analytical techniques. 参考文献 | 相关文章 | 计量指标

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BOREL’S DIRECTIONS AND SHARED VALUES 张庆彩 数学物理学报(英文版). 2013 (2):  471-483.  DOI: 10.1016/S0252-9602(13)60012-0 摘要 ( 502 )   RICH HTML PDF(191KB) ( 551 )   收藏 In this article, we study the problems of Borel’s directions of meromorphic func-tions concerning shared values and prove that if two meromorphic functions of infinite order share three distinct values, their Borel’s directions are same. 参考文献 | 相关文章 | 计量指标

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ON A NONLINEAR VOLTERRA-HAMMERSTEIN INTEGRAL EQUATION IN TWO VARIABLES Le Thi Phuong Ngoc, Nguyen Thanh Long 数学物理学报(英文版). 2013 (2):  484-494.  DOI: 10.1016/S0252-9602(13)60013-2 摘要 ( 493 )   RICH HTML PDF(166KB) ( 1173 )   收藏 Using a fixed point theorem of Krasnosel’skii type, this article proves the exis-tence of asymptotically stable solutions for a Volterra-Hammerstein integral equation in two variables. 参考文献 | 相关文章 | 计量指标

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ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES 郭青 数学物理学报(英文版). 2013 (2):  495-504.  DOI: 10.1016/S0252-9602(13)60014-4 摘要 ( 427 )   RICH HTML PDF(178KB) ( 777 )   收藏 We prove the existence and the orbital stability of standing waves for the nonautonomous Schr¨odinger system iut + Δu − a(x)u + (|u|2p + b(x)|u|p−1|v|p+1Δu = 0, x ∈ RN, ivt + Δv − a(x)v + (|v|2p + b(x)|v|p−1|u|p+1Δv = 0, x ∈ RN under suitable conditions on the coefficient functions a and b. We follow the idea of analyzing the compactness of minimizing sequence of the constrained minimization problems. 参考文献 | 相关文章 | 计量指标

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EXPONENTIAL DECAY FOR A VISCOELASTICALLY DAMPED TIMOSHENKO BEAM N. TATAR 数学物理学报(英文版). 2013 (2):  505-524.  DOI: 10.1016/S0252-9602(13)60015-6 摘要 ( 372 )   RICH HTML PDF(210KB) ( 940 )   收藏 Of concern is a viscoelastic beam modelled using the Timoshenko theory. It is well-known that the system is exponentially stable if the kernel in the memory term is sub-exponential. That is, if the product of the kernel with an exponential function is a summable function. In this article we address the questions: What if the kernel is tested against a different function (say Gamma) other than the exponential function? Would there still be stability? In the affirmative, what kind of decay rate we get? It is proved that for a non-decreasing function “Gamma” whose “logarithmic derivative” is decreasing to zero we have a decay of order Gamma to some power and in the case it decreases to a different value than zero then the decay is exponential. 参考文献 | 相关文章 | 计量指标

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CHARACTERIZATION OF MODULAR FROBENIUS GROUPS OF SPECIAL TYPE 范娟娟, 杜妮, 曾吉文 数学物理学报(英文版). 2013 (2):  525-531.  DOI: 10.1016/S0252-9602(13)60016-8 摘要 ( 422 )   RICH HTML PDF(160KB) ( 833 )   收藏 In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G′ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of G when G′ as a modular Frobenius kernel has no more than four conjugacy classes in G. 参考文献 | 相关文章 | 计量指标

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THE INTERIOR LAYER PHENOMENA FOR A CLASS OF SINGULARLY PERTURBED DELAY-DIFFERENTIAL EQUATIONS 汪娜, 倪明康 数学物理学报(英文版). 2013 (2):  532-542.  DOI: 10.1016/S0252-9602(13)60017-X 摘要 ( 612 )   RICH HTML PDF(172KB) ( 1074 )   收藏 In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF NODAL SOLUTION FOR SEMI-LINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENT ON SINGULAR#br# MANIFOLD 刘晓春, 梅媛 数学物理学报(英文版). 2013 (2):  543-555.  DOI: 10.1016/S0252-9602(13)60018-1 摘要 ( 476 )   RICH HTML PDF(203KB) ( 889 )   收藏 In this article, we prove that semi-linear elliptic equations with critical cone Sobolev exponents possess a nodal solution. 参考文献 | 相关文章 | 计量指标

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ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS 蓝双婷, 陈宗煊 数学物理学报(英文版). 2013 (2):  556-564.  DOI: 10.1016/S0252-9602(13)60019-3 摘要 ( 761 )   RICH HTML PDF(174KB) ( 543 )   收藏 In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak−1 is the dominant coefficient, then every transcendental solution f(z) of equation f(k) + Ak−1f(k−1) + … + A0f = 0 satisfies λ(f) = 1, where λ(f) denotes the exponent of convergence of zeros of the meromor-phic function f(z). 参考文献 | 相关文章 | 计量指标

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APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS Mehdi ROSTAMI, Abdolrasoul POURABBAS, Morteza ESSMAILI 数学物理学报(英文版). 2013 (2):  565-577.  DOI: 10.1016/S0252-9602(13)60020-X 摘要 ( 516 )   RICH HTML PDF(196KB) ( 1616 )   收藏 In this article, the approximate amenability of semigroup algebra ?1(S) is in-vestigated, where S is a uniformly locally finite inverse semigroup. Indeed, we show that for a uniformly locally finite inverse semigroup S, the notions of amenability, approximate amenability and bounded approximate amenability of ?1(S) are equivalent. We use this to give a direct proof of the approximate amenability of ?1(S) for a Brandt semigroup S. More-over, we characterize the approximate amenability of ?1(S), where S is a uniformly locally finite band semigroup. 参考文献 | 相关文章 | 计量指标

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ATTRACTING AND QUASI-INVARIANT SETS OF STOCHASTIC NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS 黎定仕, 徐道义 数学物理学报(英文版). 2013 (2):  578-588.  DOI: 10.1016/S0252-9602(13)60021-1 摘要 ( 659 )   RICH HTML PDF(180KB) ( 625 )   收藏 In this article, we investigate a class of stochastic neutral partial functional differ-ential equations. By establishing new integral inequalities, the attracting and quasi-invariant sets of stochastic neutral partial functional differential equations are obtained. The results in [15, 16] are generalized and improved. 参考文献 | 相关文章 | 计量指标

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MULTI-VALUED TOTALLY QUASI-Φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES 张石生, 王林, 赵云河 数学物理学报(英文版). 2013 (2):  589-599.  DOI: 10.1016/S0252-9602(13)60022-3 摘要 ( 422 )   RICH HTML PDF(184KB) ( 1051 )   收藏 The purpose of this article is first to introduce the concept of multi-valued to-tally Quasi-Φ-asymptotically nonexpansive semi-groups, which contains many kinds of semi-groups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for multi-valued totally Quasi-Φ-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this article improve and extend the corresponding results announced by many authors recently. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS 张晓梅, 孙道椿 数学物理学报(英文版). 2013 (2):  600-608.  DOI: 10.1016/S0252-9602(13)60023-5 摘要 ( 492 )   RICH HTML PDF(146KB) ( 568 )   收藏 This article discusses the problems on the existence of meromorphic solutions of some higher order linear differential equations with meromorphic coefficients. Some nice results are obtained. And these results perfect the complex oscillation theory of meromorphic solutions of linear differential equations. 参考文献 | 相关文章 | 计量指标