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2018年, 第38卷, 第4期　刊出日期：2018-08-25 上一期    下一期

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PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES Jasbir Singh MANHAS, Ruhan ZHAO 数学物理学报(英文版). 2018 (4):  1105-1120.  DOI: 10.1016/S0252-9602(18)30802-6 摘要 ( 147 )   RICH HTML PDF   收藏 We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights. 参考文献 | 相关文章 | 计量指标

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A NOTE ON THE UNIQUENESS AND THE NON-DEGENERACY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS AND ITS APPLICATION Shinji ADACHI, Masataka SHIBATA, Tatsuya WATANABE 数学物理学报(英文版). 2018 (4):  1121-1142.  DOI: 10.1016/S0252-9602(18)30803-8 摘要 ( 117 )   RICH HTML PDF   收藏 In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schrödinger equations. 参考文献 | 相关文章 | 计量指标

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SOLUTIONS TO THE SYSTEM OF OPERATOR EQUATIONS AXB=C=BXA 张肖, 吉国兴 数学物理学报(英文版). 2018 (4):  1143-1150.  DOI: 10.1016/S0252-9602(18)30804-X 摘要 ( 142 )   RICH HTML PDF   收藏 In this paper, we present some necessary and sufficient conditions for the existence of solutions, hermitian solutions and positive solutions to the system of operator equations AXB=C=BXA in the setting of bounded linear operators on a Hilbert space. Moreover, we obtain the general forms of solutions, hermitian solutions and positive solutions to the system above. 参考文献 | 相关文章 | 计量指标

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BURKHOLDER-GUNDY-DAVIS INEQUALITY IN MARTINGALE HARDY SPACES WITH VARIABLE EXPONENT 刘培德, 王茂发 数学物理学报(英文版). 2018 (4):  1151-1162.  DOI: 10.1016/S0252-9602(18)30805-1 摘要 ( 115 )   RICH HTML PDF   收藏 In this article, by extending classical Dellacherie's theorem on stochastic sequences to variable exponent spaces, we prove that the famous Burkholder-Gundy-Davis inequality holds for martingales in variable exponent Hardy spaces. We also obtain the variable exponent analogues of several martingale inequalities in classical theory, including convexity lemma, Chevalier's inequality and the equivalence of two kinds of martingale spaces with predictable control. Moreover, under the regular condition on σ-algebra sequence we prove the equivalence between five kinds of variable exponent martingale Hardy spaces. 参考文献 | 相关文章 | 计量指标

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CHAIN CONDITIONS FOR C*-ALGEBRAS COMING FROM HILBERT C*-MODULES Mahmood POURGHOLAMHOSSEIN, Mohammad ROUZBEHANI, Massoud AMINI 数学物理学报(英文版). 2018 (4):  1163-1173.  DOI: 10.1016/S0252-9602(18)30806-3 摘要 ( 88 )   RICH HTML PDF   收藏 In this paper we define and study chain conditions for Hilbert C*-modules through their C*-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that these chain conditions are passed from the C*-algebra to its Hilbert module under certain conditions. We also study chain conditions for Hilbert modules coming from inclusion of C*-algebra with a faithful conditional expectation. 参考文献 | 相关文章 | 计量指标

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SINGULAR LIMIT SOLUTIONS FOR 2-DIMENSIONAL ELLIPTIC SYSTEM WITH SUB-QUADRTATIC CONVECTION TERM Nihed TRABELSI 数学物理学报(英文版). 2018 (4):  1174-1194.  DOI: 10.1016/S0252-9602(18)30807-5 摘要 ( 58 )   RICH HTML PDF   收藏 The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition method. 参考文献 | 相关文章 | 计量指标

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THE REPRESENTATION OF THE SOLUTION OF STURM-LIOUVILLE EQUATION WITH DISCONTINUITY CONDITIONS Ozge AKCAY 数学物理学报(英文版). 2018 (4):  1195-1213.  DOI: 10.1016/S0252-9602(18)30808-7 摘要 ( 79 )   RICH HTML PDF   收藏 The aim of this paper is to construct the integral representation of the solution of Sturm-Liouville equation with eigenparameter-dependent discontinuity conditions at an interior point of the finite interval. Moreover, we examine the properties of the kernel function of this integral representation and obtain the partial differential equation provided by this kernel function. 参考文献 | 相关文章 | 计量指标

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THE OSCILLATION OF THE POISSON SEMIGROUP ASSOCIATED TO PARABOLIC HERMITE OPERATOR 李平, 马聪变, 侯友良 数学物理学报(英文版). 2018 (4):  1214-1226.  DOI: 10.1016/S0252-9602(18)30809-9 摘要 ( 65 )   RICH HTML PDF   收藏 Let O(PτL) be the oscillation of the Possion semigroup associated with the parabolic Hermite operator L=∂t-△+|x|2. We show that O(PτL) is bounded from Lp(Rn+1) into itself for 1 < p < ∞, bounded from L1(Rn+1) into weak-L1(Rn+1) and bounded from Lc∞ (Rn+1) into BMO(Rn+1). In the case p=∞ we show that the range of the image of the operator O(PτL) is strictly smaller than the range of a general singular operator. 参考文献 | 相关文章 | 计量指标

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AN ASYMPTOTIC BEHAVIOR AND A POSTERIORI ERROR ESTIMATES FOR THE GENERALIZED SCHWARTZ METHOD OF ADVECTION-DIFFUSION EQUATION Salah BOULAARAS, Mohammed Said TOUATI, BRAHIM Smail BOUZENADA, Abderrahmane ZARAI 数学物理学报(英文版). 2018 (4):  1227-1244.  DOI: 10.1016/S0252-9602(18)30810-5 摘要 ( 87 )   RICH HTML PDF   收藏 In this paper, a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are proved by using the Euler time scheme combined with Galerkin spatial method. Furthermore, an asymptotic behavior in Sobolev norm is deduced using Benssoussan-Lions' algorithm. Finally, the results of some numerical experiments are presented to support the theory. 参考文献 | 相关文章 | 计量指标

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THE PICARD THEOREM ON S-METRIC SPACES Nihal Yilmaz ÖZGÜR, Nihal TAŞ 数学物理学报(英文版). 2018 (4):  1245-1258.  DOI: 10.1016/S0252-9602(18)30811-7 摘要 ( 42 )   RICH HTML PDF   收藏 Recently, the notion of an S-metric space is defined and extensively studied as a generalization of a metric space. In this paper, we define the notion of the S∞-space and prove its completeness. We obtain a new generalization of the classical "Picard Theorem". 参考文献 | 相关文章 | 计量指标

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A NOTE ON EXACT CONVERGENCE RATE IN THE LOCAL LIMIT THEOREM FOR A LATTICE BRANCHING RANDOM WALK 高志强 数学物理学报(英文版). 2018 (4):  1259-1268.  DOI: 10.1016/S0252-9602(18)30812-9 摘要 ( 66 )   RICH HTML PDF   收藏 Consider a branching random walk, where the underlying branching mechanism is governed by a Galton-Watson process and the moving law of particles by a discrete random variable on the integer lattice Z. Denote by Zn(z) the number of particles in the n-th generation in the model for each z ∈ Z. We derive the exact convergence rate in the local limit theorem for Zn(z) assuming a condition like "EN(log N)1+λ < ∞" for the offspring distribution and a finite moment condition on the motion law. This complements the known results for the strongly non-lattice branching random walk on the real line and for the simple symmetric branching random walk on the integer lattice. 参考文献 | 相关文章 | 计量指标

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A CORRECTOR-PREDICTOR ARC SEARCH INTERIOR-POINT ALGORITHM FOR SYMMETRIC OPTIMIZATION M. PIRHAJI, M. ZANGIABADI, H. MANSOURI 数学物理学报(英文版). 2018 (4):  1269-1284.  DOI: 10.1016/S0252-9602(18)30813-0 摘要 ( 56 )   RICH HTML PDF   收藏 In this paper, a corrector-predictor interior-point algorithm is proposed for symmetric optimization. The algorithm approximates the central path by an ellipse, follows the ellipsoidal approximation of the central-path step by step and generates a sequence of iterates in a wide neighborhood of the central-path. Using the machinery of Euclidean Jordan algebra and the commutative class of search directions, the convergence analysis of the algorithm is shown and it is proved that the algorithm has the complexity bound O(√rL) for the well-known Nesterov-Todd search direction and O(rL) for the xs and sx search directions. 参考文献 | 相关文章 | 计量指标

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OPTIMIZATION APPROACH FOR THE MONGE-AMPÈRE EQUATION Fethi BEN BELGACEM 数学物理学报(英文版). 2018 (4):  1285-1295.  DOI: 10.1016/S0252-9602(18)30814-2 摘要 ( 62 )   RICH HTML PDF   收藏 In this paper, we introduce and study a method for the numerical solution of the elliptic Monge-Ampère equation with Dirichlet boundary conditions. We formulate the Monge-Ampère equation as an optimization problem. The latter involves a Poisson Problem which is solved by the finite element Galerkin method and the minimum is computed by the conjugate gradient algorithm. We also present some numerical experiments. 参考文献 | 相关文章 | 计量指标

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THREE NONTRIVIAL SOLUTIONS FOR A NONLINEAR ANISOTROPIC NONLOCAL EQUATION Amin ESFAHANI 数学物理学报(英文版). 2018 (4):  1296-1310.  DOI: 10.1016/S0252-9602(18)30815-4 摘要 ( 59 )   RICH HTML PDF   收藏 In this article, we establish the existence of a sign-changing solution and two sign-constant solutions for nonlinear nonlocal problem involving the BO-ZK operator on bounded domain. Our main tool is constrained minimization on appropriate Nehari manifolds. 参考文献 | 相关文章 | 计量指标

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MATHEMATICAL MODEL FOR THE ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH A PARTICULAR EMDEN-FOWLER EQUATION u"-n-q-1u (n)q=0 Yue-Loong CHANG, Meng-Rong LI, C. Jack YUE, Yong-Shiuan LEE, Tsung-Jui CHIANG-LIN 数学物理学报(英文版). 2018 (4):  1311-1321.  DOI: 10.1016/S0252-9602(18)30816-6 摘要 ( 44 )   RICH HTML PDF   收藏 In this article, we work with the ordinary equation u"-n-q-1u (n)q=0 and learn some interesting phenomena concerning the blow-up and the blow-up rate of solution to the equation. 参考文献 | 相关文章 | 计量指标

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DEVIATION OF THE ERROR ESTIMATION FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS Mohammad ZAREBNIA, Reza PARVAZ, Amir SABOOR BAGHERZADEH 数学物理学报(英文版). 2018 (4):  1322-1344.  DOI: 10.1016/S0252-9602(18)30817-8 摘要 ( 48 )   RICH HTML PDF   收藏 In this paper, we study an efficient asymptotically correction of a-posteriori error estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. The deviation of the error for Volterra integrodifferential equations by using the defect correction principle is defined. Also, it is shown that for m degree piecewise polynomial collocation method, our method provides O(hm+1) as the order of the deviation of the error. The theoretical behavior is tested on examples and it is shown that the numerical results confirm the theoretical part. 参考文献 | 相关文章 | 计量指标

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PARAMETER IDENTIFICATION BY OPTIMIZATION METHOD FOR A POLLUTION PROBLEM IN POROUS MEDIA R. ABOULAICH, B. ACHCHAB, A. DAROUICHI 数学物理学报(英文版). 2018 (4):  1345-1360.  DOI: 10.1016/S0252-9602(18)30818-X 摘要 ( 74 )   RICH HTML PDF   收藏 In the present work, we investigate the inverse problem of reconstructing the parameter of an integro-differential parabolic equation, which comes from pollution problems in porous media, when the final observation is given. We use the optimal control framework to establish both the existence and necessary condition of the minimizer for the cost functional. Furthermore, we prove the stability and the local uniqueness of the minimizer. Some numerical results will be presented and discussed. 参考文献 | 相关文章 | 计量指标

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OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL 秦毅, 侯延仁 数学物理学报(英文版). 2018 (4):  1361-1369.  摘要 ( 61 )   RICH HTML PDF   收藏 Although the two-grid finite element decoupled scheme for mixed Navier-Stokes/Darcy model in literatures has given the numerical results of optimal convergence order, the theoretical analysis only obtain the optimal error order for the porous media flow and a non-optimal error order for the fluid flow. In this article, we give a more rigorous of the error analysis for the fluid flow and obtain the optimal error estimates of the velocity and the pressure. 参考文献 | 相关文章 | 计量指标

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PULLBACK EXPONENTIAL ATTRACTORS FOR THE NON-AUTONOMOUS MICROPOLAR FLUID FLOWS 孙文龙, 黎野平 数学物理学报(英文版). 2018 (4):  1370-1392.  摘要 ( 36 )   RICH HTML PDF(260KB) ( 7 )   收藏 This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of pullback exponential attractors and global pullback attractors and show that they both with finite fractal dimension. Further, we give the relationship between global pullback attractors and pullback exponential attractors. 参考文献 | 相关文章 | 计量指标

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ON THE FINITE MELLIN TRANSFORM IN QUANTUM CALCULUS AND APPLICATION Bochra NEFZI, Kamel BRAHIM, Ahmed FITOUHI 数学物理学报(英文版). 2018 (4):  1393-1410.  摘要 ( 70 )   RICH HTML PDF(207KB) ( 23 )   收藏 The aim of the present paper is to introduce and study a new type of q-Mellin transform[11], that will be called q-finite Mellin transform. In particular, we prove for this new transform an inversion formula and q-convolution product. The application of this transform is also earlier proposed in solving procedure for a new equation with a new fractional differential operator of a variational type. 参考文献 | 相关文章 | 计量指标

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GENERALIZED DISCRETE Q-HERMITE I POLYNOMIALS AND Q-DEFORMED OSCILLATOR Kamel MEZLINI, Néji BETTAIBI 数学物理学报(英文版). 2018 (4):  1411-1426.  摘要 ( 67 )   RICH HTML PDF(217KB) ( 17 )   收藏 In this paper, we present an explicit realization of q-deformed Calogero-Vasiliev algebra whose generators are first-order q-difference operators related to the generalized discrete q-Hermite I polynomials recently introduced in[14]. Furthermore, we construct the wave functions and we determine the q-coherent states. 参考文献 | 相关文章 | 计量指标

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WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES 王茂发, 姚兴兴, 邓方文 数学物理学报(英文版). 2018 (4):  1427-1440.  摘要 ( 46 )   RICH HTML PDF(210KB) ( 14 )   收藏 In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized, and the spectra of compact and invertible weighted composition operators are also described. 参考文献 | 相关文章 | 计量指标