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2015年, 第35卷, 第5期　刊出日期：2015-09-01 上一期    下一期

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ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS 冯跃红, 王术, 李新 数学物理学报(英文版). 2015 (5):  955-969.  DOI: 10.1016/S0252-9602(15)30030-8 摘要 ( 90 )   RICH HTML PDF(211KB) ( 745 )   收藏 This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm||·||Hs-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than||·||Hs-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system. 参考文献 | 相关文章 | 计量指标

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ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION WITH A NONLOCAL BOUNDARY OPERATOR B. J. KADIRKULOV, M. KIRANE 数学物理学报(英文版). 2015 (5):  970-980.  DOI: 10.1016/S0252-9602(15)30031-X 摘要 ( 80 )   RICH HTML PDF(162KB) ( 668 )   收藏 In this work, we investigate the solvability of the boundary value problem for the Poisson equation, involving a generalized Riemann-Liouville and the Caputo derivative of fractional order in the class of smooth functions. The considered problems are generalization of the known Dirichlet and Neumann problems with operators of a fractional order. 参考文献 | 相关文章 | 计量指标

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GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTIONS 吴舜堂 数学物理学报(英文版). 2015 (5):  981-994.  DOI: 10.1016/S0252-9602(15)30032-1 摘要 ( 66 )   RICH HTML PDF(189KB) ( 626 )   收藏 A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions imposed on the source and the damping, we establish uniform decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function, without setting any restrictive growth assumptions on the damping at the origin and weakening the usual assumptions on the relaxation function. 参考文献 | 相关文章 | 计量指标

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Lp-CONTINUITY OF NONCOMMUTATIVE CONDITIONAL EXPECTATIONS 胡建, 马聪变, 侯友良 数学物理学报(英文版). 2015 (5):  995-1002.  DOI: 10.1016/S0252-9602(15)30033-3 摘要 ( 54 )   RICH HTML PDF(169KB) ( 558 )   收藏 Let (M, τ) be a noncommutative probability space, (Mn)n≥1 a sequence of von Neumann subalgebras of M and N a von Neumann subalgebra of M. We introduce the notions of μ-approach and orthogonal approach for (Mn)n≥1 and prove that ε(x|Mn)ε(x|N) for any x∈Lp(M) (1 ≤ p < ∞) if and only if (Mn)n≥1 τ-approaches and orthogonally approaches N. 参考文献 | 相关文章 | 计量指标

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CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS 丁小丽, Juan J. NIETO 数学物理学报(英文版). 2015 (5):  1003-1013.  DOI: 10.1016/S0252-9602(15)30034-5 摘要 ( 81 )   RICH HTML PDF(175KB) ( 622 )   收藏 Control systems governed by linear time-invariant neutral equations with different fractional orders are considered. Sufficient and necessary conditions for the controllability of those systems are established. The existence of optimal controls for the systems is given. Finally, two examples are provided to show the application of our results. 参考文献 | 相关文章 | 计量指标

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A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION FOR SOME ENTERPRISES 张裕隆, 李明融 数学物理学报(英文版). 2015 (5):  1014-1022.  DOI: 10.1016/S0252-9602(15)30035-7 摘要 ( 76 )   RICH HTML PDF(341KB) ( 313 )   收藏 In this paper, we work with the ordinary differential equation n2u(n)"=u(n)p and obtain some interesting phenomena concerning, boundedness, blow-up, blow-up rate, life-span of solutions to those equations. 参考文献 | 相关文章 | 计量指标

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SOLUTIONS TO NONLINEAR ELLIPTIC EQUATIONS WITH A GRADIENT 王影, 王明新 数学物理学报(英文版). 2015 (5):  1023-1036.  DOI: 10.1016/S0252-9602(15)30036-9 摘要 ( 54 )   RICH HTML PDF(205KB) ( 737 )   收藏 In this article, we consider existence and nonexistence of solutions to problem with 1 < p < ∞, where f is a positive measurable function which is bounded away from 0 in Ω, and the domain Ω is a smooth bounded open set in RN(N≥2). Especially, under the condition that g(x,s)=1/|s|α(α>0) is singular at s=0, we obtain that α < p is necessary and sufficient for the existence of solutions in W01,p(Ω) to problem (0.1) when f is sufficiently regular. 参考文献 | 相关文章 | 计量指标

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ANALYTIC BOUNDARY VALUE PROBLEMS ON CLASSICAL DOMAINS 刘华 数学物理学报(英文版). 2015 (5):  1037-1045.  DOI: 10.1016/S0252-9602(15)30037-0 摘要 ( 80 )   RICH HTML PDF(169KB) ( 317 )   收藏 In this paper analytic boundary value problems for some classical domains in Cn are developed by using the harmonic analysis due to L.K. Hua. First it is discussed for the version of one variable in order to induce the relation between the analytic boundary value problem and the decomposition of function space L2 on the boundary manifold. Then an easy example of several variables, the version of torus in C2, is stated. For the noncommutative classical group LI, the characteristic boundary of a kind of bounded symmetric domain in C4, the boundary behaviors of the Cauchy integral are obtained by using both the harmonic expansion and polar coordinate transformation. At last we obtain the conditions of solvability of Schwarz problem on LI, if so, the solution is given explicitly. 参考文献 | 相关文章 | 计量指标

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MOTIONS OF CURVES IN THE GALILEAN SPACE G3 Ufuk OZTURK, Suleyman CENGIZ, Esra Betul KOC OZTURK 数学物理学报(英文版). 2015 (5):  1046-1054.  DOI: 10.1016/S0252-9602(15)30038-2 摘要 ( 63 )   RICH HTML PDF(153KB) ( 685 )   收藏 In this article, we study the flows of curves in the Galilean 3-space and its equiform geometry without any constraints. We find that the Frenet equations and the intrinsic quantities of the inelastic flows of curves are independent of time. We show that the motion of curves in the Galilean 3-space and its equiform geometry are described by the inviscid and viscous Burgers' equations. 参考文献 | 相关文章 | 计量指标

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A STABILIZED CRANK-NICOLSON MIXED FINITE VOLUME ELEMENT FORMULATION FOR THE NON-STATIONARY PARABOLIZED NAVIER-STOKES EQUATIONS 罗振东 数学物理学报(英文版). 2015 (5):  1055-1066.  DOI: 10.1016/S0252-9602(15)30039-4 摘要 ( 69 )   RICH HTML PDF(228KB) ( 608 )   收藏 A time semi-discrete Crank-Nicolson (CN) formulation with second-order time accuracy for the non-stationary parabolized Navier-Stokes equations is firstly established. And then, a fully discrete stabilized CN mixed finite volume element (SCNMFVE) formulation based on two local Gaussian integrals and parameter-free with the second-order time accuracy is established directly from the time semi-discrete CN formulation so that it could avoid the discussion for semi-discrete SCNMFVE formulation with respect to spatial variables and its theoretical analysis becomes very simple. Finally, the error estimates of SCNMFVE solutions are provided. 参考文献 | 相关文章 | 计量指标

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MULTIPLICITY RESULTS FOR FOURTH ORDER ELLIPTIC EQUATIONS OF KIRCHHOFF-TYPE 许丽萍, 陈海波 数学物理学报(英文版). 2015 (5):  1067-1076.  DOI: 10.1016/S0252-9602(15)30040-0 摘要 ( 105 )   RICH HTML PDF(178KB) ( 746 )   收藏 In this paper, we concern with the following fourth order elliptic equations of Kirchhoff type ???11??? where a,b>0 are constants and the primitive of the nonlinearity f is of superlinear growth near infinity in u and is also allowed to be sign-changing. By using variational methods, we establish the existence and multiplicity of solutions. Our conditions weaken the Ambrosetti-Rabinowitz type condition. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER DIFFERENTIAL DIFFERENCE EQUATIONS 郭承军, Donal O'REGAN, 徐远通, Ravi P. AGARWAL 数学物理学报(英文版). 2015 (5):  1077-1094.  DOI: 10.1016/S0252-9602(15)30041-2 摘要 ( 101 )   RICH HTML PDF(233KB) ( 523 )   收藏 In this article we consider via critical point theory the existence of homoclinic orbits of the first-order differential difference equation ?(t)+B(t)z(t)+f(t,z(t+τ),z(t),z(t-τ))=0. 参考文献 | 相关文章 | 计量指标

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GENERALIZED FRACTIONAL CALCULUS OF THE ALEPH-FUNCTION INVOLVING A GENERAL CLASS OF POLYNOMIALS R. K. SAXENA, D. KUMAR 数学物理学报(英文版). 2015 (5):  1095-1110.  DOI: 10.1016/S0252-9602(15)30042-4 摘要 ( 142 )   RICH HTML PDF(222KB) ( 915 )   收藏 The object of this article is to study and develop the generalized fractional calculus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of N-function, Appell function F3 and a general class of polynomials. The results obtained provide unification and extension of the results given by Saxena et al. [13], Srivastava and Grag [17], Srivastava et al. [20], and etc. The results are obtained in compact form and are useful in preparing some tables of operators of fractional calculus. On account of the general nature of the Saigo-Maeda operators, N-function, and a general class of polynomials a large number of new and known results involving Saigo fractional calculus operators and several special functions notably H-function, I-function, Mittag-Leffler function, generalized Wright hypergeometric function, generalized Bessel-Maitland function follow as special cases of our main findings. 参考文献 | 相关文章 | 计量指标

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THE INTEGRAL TYPE GAUGE TRANSFORMATION AND THE ADDITIONAL SYMMETRY FOR THE CONSTRAINED KP HIERARCHY 程级鹏, 贺劲松 数学物理学报(英文版). 2015 (5):  1111-1121.  DOI: 10.1016/S0252-9602(15)30043-6 摘要 ( 73 )   RICH HTML PDF(171KB) ( 568 )   收藏 In this paper, the compatibility between the integral type gauge transformation and the additional symmetry of the constrained KP hierarchy is given. And the string-equation constraint in matrix models is also derived. 参考文献 | 相关文章 | 计量指标

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STOCHASTIC STABILITY OF UNCERTAIN RECURRENT NEURAL NETWORKS WITH MARKOVIAN JUMPING PARAMETERS M. SYED ALI 数学物理学报(英文版). 2015 (5):  1122-1136.  DOI: 10.1016/S0252-9602(15)30044-8 摘要 ( 137 )   RICH HTML PDF(180KB) ( 638 )   收藏 In this paper, global robust stability of uncertain stochastic recurrent neural networks with Markovian jumping parameters is considered. A novel Linear matrix inequality(LMI) based stability criterion is obtained to guarantee the asymptotic stability of uncertain stochastic recurrent neural networks with Markovian jumping parameters. The results are derived by using the Lyapunov functional technique, Lipchitz condition and S-procuture. Finally, numerical examples are given to demonstrate the correctness of the theoretical results. Our results are also compared with results discussed in [31] and [34] to show the effectiveness and conservativeness. 参考文献 | 相关文章 | 计量指标

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A NEW PROOF OF THE DELTA INEQUALITY 漆毅, 宋飞 数学物理学报(英文版). 2015 (5):  1137-1141.  DOI: 10.1016/S0252-9602(15)30045-X 摘要 ( 68 )   RICH HTML PDF(124KB) ( 316 )   收藏 The purpose of this paper is to give a relatively elementary and direct proof of the Delta Inequality, which plays a very important role in the study of the extremal problem of quasiconformal mappings. 参考文献 | 相关文章 | 计量指标

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EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS Gonzalo ALDUNCIN 数学物理学报(英文版). 2015 (5):  1142-1162.  DOI: 10.1016/S0252-9602(15)30046-1 摘要 ( 60 )   RICH HTML PDF(424KB) ( 661 )   收藏 Tow-phase flow mixed variational formulations of evolution filtration problems with seawater intrusion are analyzed. A dual mixed fractional flow velocity-pressure model is considered with an air-fresh water and a fresh water-seawater characterization. For analysis and computational purposes, spatial decompositions based on nonoverlapping multidomains, above and below the sea level, are variationally introduced with internal boundary fluxes dualized as weak transmission constraints. Further, parallel augmented and exactly penalized duality algorithms, and proximation semi-implicit time marching schemes, are established and analyzed. 参考文献 | 相关文章 | 计量指标

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ORBITAL INSTABILITY OF STANDING WAVES FOR THE GENERALIZED 3D NONLOCAL NONLINEAR SCHRÖDINGER EQUATIONS 甘在会, 郭柏灵, 蒋芯 数学物理学报(英文版). 2015 (5):  1163-1188.  DOI: 10.1016/S0252-9602(15)30047-3 摘要 ( 71 )   RICH HTML PDF(259KB) ( 576 )   收藏 The existence and orbital instability of standing waves for the generalized threedimensional nonlocal nonlinear Schrödinger equations is studied. By defining some suitable functionals and a constrained variational problem, we first establish the existence of standing waves, which relys on the inner structure of the equations under consideration to overcome the drawback that nonlocal terms violate the space-scale invariance. We then show the orbital instability of standing waves. The arguments depend upon the conservation laws of the mass and of the energy. 参考文献 | 相关文章 | 计量指标

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AN APPLICABLE APPROXIMATION METHOD AND ITS APPLICATION Huaixin CAO, Zhengli CHEN, Li LI, Baomin YU 数学物理学报(英文版). 2015 (5):  1189-1202.  DOI: 10.1016/S0252-9602(15)30048-5 摘要 ( 70 )   RICH HTML PDF(1199KB) ( 519 )   收藏 In this work, by choosing an orthonormal basis for the Hilbert space L2[0,1], an approximation method for finding approximate solutions of the equation (I+K)x=y is proposed, called Haar wavelet approximation method (HWAM). To prove the applicability of the HWAM, a more general applicability theorem on an approximation method (AM) for an operator equation Ax=y is proved first. As an application, applicability of the HWAM is obtained. Furthermore, four steps to use the HWAM are listed and three numerical examples are given in order to illustrate the effectiveness of the method. 参考文献 | 相关文章 | 计量指标

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SUB-ADDITIVE PRESSURE ON A BOREL SET 陈阳洋, 赵云, 郑文巧 数学物理学报(英文版). 2015 (5):  1203-1213.  DOI: 10.1016/S0252-9602(15)30049-7 摘要 ( 64 )   RICH HTML PDF(187KB) ( 379 )   收藏 The goal of this paper is to investigate topological conditional pressure of a continuous transformation as defined for sub-additive potentials. This study presents a variational inequality for sub-additive topological conditional pressure on a closed subset, which is the other form of the variational principle for the sub-additive topological pressure presented by Cao, Feng, and Huang in [9]. Moreover, under some additional assumptions, this result can be generalized to the non-compact case. 参考文献 | 相关文章 | 计量指标

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SOME COMPLETELY MONOTONIC FUNCTIONS ASSOCIATED WITH THE q-GAMMA AND THE q-POLYGAMMA FUNCTIONS Ahmed SALEM, Eid S. KAMEL 数学物理学报(英文版). 2015 (5):  1214-1224.  DOI: 10.1016/S0252-9602(15)30050-3 摘要 ( 91 )   RICH HTML PDF(172KB) ( 781 )   收藏 In this paper, the q-analogue of the Stirling formula for the q-gamma function (Moak formula) is exploited to prove the complete monotonicity properties of some functions involving the q-gamma and the q-polygamma functions for all real number q > 0. The monotonicity of these functions is used to establish sharp inequalities for the q-gamma and the q-polygamma functions and the q-Harmonic number. Our results are shown to be a generalization of results which were obtained by Selvi and Batir [23]. 参考文献 | 相关文章 | 计量指标

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APPROXIMATION OF COMMON FIXED POINT OF FAMILIES OF NONLINEAR MAPPINGS WITH APPLICATIONS Eric U. OFOEDU, Charles E. ONYI 数学物理学报(英文版). 2015 (5):  1225-1240.  DOI: 10.1016/S0252-9602(15)30051-5 摘要 ( 109 )   RICH HTML PDF(208KB) ( 488 )   收藏 It is our purpose in this paper to show that some results obtained in uniformly convex real Banach space with uniformly Gâteaux differentiable norm are extendable to more general reflexive and strictly convex real Banach space with uniformly Gâteaux differentiable norm. Demicompactness condition imposed in such results is dispensed with. Furthermore, Applications of our theorems to approximation of common fixed point of countable infinite family of continuous pseudocontractive mappings and approximation of common solution of countable infinite family of generalized mixed equilibrium problems are also discussed. Our theorems improve, generalize, unify and extend several recently announced results. 参考文献 | 相关文章 | 计量指标

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ALL MEROMORPHIC SOLUTIONS OF AN AUXILIARY ORDINARY DIFFERENTIAL EQUATION AND ITS APPLICATIONS 袁文俊, Weiling XIONG, Jianming LIN, Yonghong WU 数学物理学报(英文版). 2015 (5):  1241-1250.  DOI: 10.1016/S0252-9602(15)30052-7 摘要 ( 79 )   RICH HTML PDF(181KB) ( 1026 )   收藏 In this paper, we first employ the complex method to deritive all meromorphic solutions of an auxiliary ordinary differential equation, and then find all meromorphic exact solutions of the modified ZK equation, modified KdV equation, nonlinear Klein-Gordon equation and modified BBM equation. Our work shows that there exist some classes of rational solutions wr,2(z) and simple periodic solutions ws,1(z) which are new and are not degenerated successively to by the elliptic function solutions. 参考文献 | 相关文章 | 计量指标