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2016年, 第36卷, 第3期　刊出日期：2016-06-25 上一期    下一期

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CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cn 彭茹, 吴悠, 邓方文 数学物理学报(英文版). 2016 (3):  635-654.  DOI: 10.1016/S0252-9602(16)30028-5 摘要 ( 94 )   RICH HTML PDF   收藏 This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of Cn, which contain many classical function spaces, such as the Bloch space, BMOA and Qs spaces. The boundedness and compactness of these operators on F(p, q, s) spaces are characterized by means of an embedding theorem, i.e., F(p, q, s) spaces boundedly embedded into the tent-type spaces Tp,s∞(μ). 参考文献 | 相关文章 | 计量指标

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SOME RESULTS ON CONTROLLED FRAMES IN HILBERT SPACES Kamran MUSAZADEH, Hassan KHANDANI 数学物理学报(英文版). 2016 (3):  655-665.  DOI: 10.1016/S0252-9602(16)30029-7 摘要 ( 120 )   RICH HTML PDF   收藏 We use two appropriate bounded invertible operators to define a controlled frame with optimal frame bounds. We characterize those operators that produces Parseval controlled frames also we state a way to construct nearly Parseval controlled frames. We introduce a new perturbation of controlled frames to obtain new frames from a given one. Also we reduce the distance of frames by appropriate operators and produce nearly dual frames from two given frames which are not dual frames for each other. 参考文献 | 相关文章 | 计量指标

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NONEXISTENCE OF POSITIVE SOLUTIONS FOR A SEMI-LINEAR EQUATION INVOLVING THE FRACTIONAL LAPLACIAN IN RN Yan LI 数学物理学报(英文版). 2016 (3):  666-682.  DOI: 10.1016/S0252-9602(16)30030-3 摘要 ( 72 )   RICH HTML PDF   收藏 In this paper, we consider the semilinear equation involving the fractional Lapla-cian in the Euclidian space Rn: (-Δ)α/2u(x)=f(xn)up(x), x∈Rn (0.1) in the subcritical case with 1< p< (n+α)/(n-α). Instead of carrying out direct investigations on pseudo-differential equation (0.1), we first seek its equivalent form in an integral equation as below: u(x)=∫Rn G∞(x, y) f(yn)up(y)dy, (0.2) where G∞(x, y) is the Green's function associated with the fractional Laplacian in Rn. Em-ploying the method of moving planes in integral forms, we are able to derive the nonexistence of positive solutions for (0.2) in the subcritical case. Thanks to the equivalence, same con-clusion is true for (0.1). 参考文献 | 相关文章 | 计量指标

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LOWER BOUNDS OF BLOW UP TIME FOR A SYSTEM OF SEMI-LINEAR HYPERBOLIC PETROVSKY EQUATIONS Amir PEYRAVI 数学物理学报(英文版). 2016 (3):  683-688.  DOI: 10.1016/S0252-9602(16)30031-5 摘要 ( 68 )   RICH HTML PDF   收藏 Li et al. in[3] obtained blow-up results for a system of Petrovskey equations in some different cases. In this article we obtain lower bounds for the blow up time under some considerations on initial data. 参考文献 | 相关文章 | 计量指标

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PERSISTENCE AND THE GLOBAL DYNAMICS OF THE POSITIVE SOLUTIONS FOR A RATIODEPENDENT PREDATOR-PREY SYSTEM WITH A CROWDING TERM IN THE PREY EQUATION 曾宪忠, 顾永耕 数学物理学报(英文版). 2016 (3):  689-703.  DOI: 10.1016/S0252-9602(16)30032-7 摘要 ( 58 )   RICH HTML PDF   收藏 This paper deals with the global dynamical behaviors of the positive solutions for a parabolic type ratio-dependent predator-prey system with a crowding term in the prey equation, where it is assumed that the coefficient of the functional response is less than the coefficient of the intrinsic growth rates of the prey species. We demonstrated some special dynamical behaviors of the positive solutions of this system which the persistence of the coexistence of two species can be obtained when the crowding region in the prey equation only is designed suitably. Furthermore, we can obtain that under some conditions, the unique positive steady state solution of the system is globally asymptotically stable. 参考文献 | 相关文章 | 计量指标

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NEW SUBCLASS OF ANALYTIC FUNCTIONS IN CONICAL DOMAIN ASSOCIATED WITH A LINEAR OPERATOR Muhammed ARIF, Shahid MAHMOOD, Janusz SOKÓŁ, Jacek DZIOK 数学物理学报(英文版). 2016 (3):  704-716.  DOI: 10.1016/S0252-9602(16)30033-9 摘要 ( 127 )   RICH HTML PDF   收藏 The main object of the present paper is to investigate a number of useful properties such as inclusion relations, distortion bounds, coefficient estimates, subordination results, the Fekete-Szegö problem and some other for a new subclass of analytic functions, which are defined here by means of linear operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. 参考文献 | 相关文章 | 计量指标

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CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS 陈淑红, 郭柏灵 数学物理学报(英文版). 2016 (3):  717-732.  DOI: 10.1016/S0252-9602(16)30034-0 摘要 ( 94 )   RICH HTML PDF   收藏 In this paper, we prove the existence of global classical solutions to time-dependent Ginzburg-Landau(TDGL) equations. By the properties of Besov and Sobolev spaces, together with the energy method, we establish the global existence and uniqueness of classical solutions to the initial boundary value problem for time-dependent Ginzburg-Landau equations. 参考文献 | 相关文章 | 计量指标

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ON ALGEBRAIC SOLUTIONS OF THE SECOND-ORDER COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE ALGEBRAIC ELEMENT COEFFICIENTS 孔荫莹, 郭晓晶, 孙道椿 数学物理学报(英文版). 2016 (3):  733-739.  DOI: 10.1016/S0252-9602(16)30035-2 摘要 ( 63 )   RICH HTML PDF   收藏 The main purpose of this paper is to study the problems on the existence of algebraic solutions for some second-order complex differential equations with entire algebraic function element coefficients. Several theorems on the existence of solutions are obtained, which perfect the solution theory of linear complex differential equations. 参考文献 | 相关文章 | 计量指标

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STOCHASTIC SIRS MODEL DRIVEN BY LÉVY NOISE 张向华, 陈芙, 王克, 杜红 数学物理学报(英文版). 2016 (3):  740-752.  DOI: 10.1016/S0252-9602(16)30036-4 摘要 ( 72 )   RICH HTML PDF   收藏 The paper establishes two stochastic SIRS models with jumps to describe the spread of network virus by cyber war, terrorism and others. First, adding random perturbations proportionally to each variable, we get the dynamic properties around the positive equilibrium of the deterministic model and the conditions for persistence and extinction. Second, giving a random disturbance to endemic equilibrium, we get a stochastic system with jumps. By modifying the existing Lyapunov function, we prove the positive solution of the system is stochastically stable. 参考文献 | 相关文章 | 计量指标

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INVARIANT SUBSPACES AND GENERALIZED FUNCTIONAL SEPARABLE SOLUTIONS TO THE TWO-COMPONENT b-FAMILY SYSTEM 闫璐, 时振华, 王昊, 康静 数学物理学报(英文版). 2016 (3):  753-764.  DOI: 10.1016/S0252-9602(16)30037-6 摘要 ( 50 )   RICH HTML PDF   收藏 Invariant subspace method is exploited to obtain exact solutions of the two-component b-family system. It is shown that the two-component b-family system admits the generalized functional separable solutions. Furthermore, blow up and behavior of those exact solutions are also investigated. 参考文献 | 相关文章 | 计量指标

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THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES 林至诚, 王二小 数学物理学报(英文版). 2016 (3):  765-781.  DOI: 10.1016/S0252-9602(16)30038-8 摘要 ( 104 )   RICH HTML PDF   收藏 Hildebrand classified all semi-homogeneous cones in R3 and computed their cor-responding complete hyperbolic affine spheres. We compute isothermal parametrizations for Hildebrand's new examples. After giving their affine metrics and affine cubic forms, we con-struct the whole associated family for each of Hildebrand's examples. The generic member of these affine spheres is given by Weierstrass P, ζ and σ functions. In general any regular convex cone in R3 has a natural associated S1-family of such cones, which deserves further studies. 参考文献 | 相关文章 | 计量指标

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GROUND STATE TRAVELLING WAVES IN INFINITE LATTICES 张鲁豫, 马世旺 数学物理学报(英文版). 2016 (3):  782-790.  DOI: 10.1016/S0252-9602(16)30039-X 摘要 ( 64 )   RICH HTML PDF   收藏 In this paper, we consider FPU lattices with particles of unit mass. The dynamics of the system is described by the infinite system of second order differential equations qn=U'(qn+1-qn)-U'(qn-qn-1), n∈Z, where qn denotes the displacement of the n-th lattice site and U is the potential of interaction between two adjacent particles. Inspired by previous work due to Szulkin and Weth (Ground state solutions for some indefinite variational problems, J. Funct. Anal., 257 (2009), 3802-3822), we investigate the existence of solitary ground waves, i.e., nontrivial solutions with least possible energy. 参考文献 | 相关文章 | 计量指标

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SOLUTIONS AND STABILITY OF A GENERALIZATION OF WILSON'S EQUATION Bouikhalene BELAID, Elqorachi ELHOUCIEN 数学物理学报(英文版). 2016 (3):  791-801.  DOI: 10.1016/S0252-9602(16)30040-6 摘要 ( 66 )   RICH HTML PDF   收藏 In this paper we study the solutions and stability of the generalized Wilson's functional equation∫Gf(xty)dμ(t) +∫Gf(xtσ(y))dμ(t)=2f(x)g(y), x, y∈G, where G is a locally compact group, σ is a continuous involution of G and μ is an idempotent complex measure with compact support and which is σ-invariant. We show that∫Gg(xty)dμ(t)+∫Gg(xtσ(y))dμ(t)=2g(x)g(y) if f≠0 and∫Gf(t.)dμ(t)≠0, where[∫Gf(t.)dμ(t)](x)=∫Gf(tx)dμ(t). We also study some stability theorems of that equation and we establish the stability on noncommutative groups of the classical Wilson's functional equation f(xy)+χ(y)f(xσ(y))=2f(x)g(y)x, y∈G, where χ is a unitary character of G. 参考文献 | 相关文章 | 计量指标

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STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS 盛伟杰 数学物理学报(英文版). 2016 (3):  802-814.  DOI: 10.1016/S0252-9602(16)30041-8 摘要 ( 63 )   RICH HTML PDF   收藏 This paper is concerned with the global exponential stability of time periodic traveling fronts of reaction-advection-diffusion equations with time periodic bistable nonlinearity in infinite cylinders. It is well known that such traveling fronts exist and are asymptotically stable. In this paper, we further show that such fronts are globally exponentially stable. The main difficulty is to construct appropriate supersolutions and subsolutions. 参考文献 | 相关文章 | 计量指标

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UNIFORM DECAY IN WEAKLY DISSIPATIVE TIMOSHENKO SYSTEM WITH INTERNAL DISTRIBUTED DELAY FEEDBACKS Tijani A. APALARA 数学物理学报(英文版). 2016 (3):  815-830.  DOI: 10.1016/S0252-9602(16)30042-X 摘要 ( 73 )   RICH HTML PDF   收藏 In this paper we consider one-dimensional Timoshenko system with linear frictional damping and a distributed delay acting on the displacement equation. Under suitable assumptions on the weight of the delay and the wave speeds, we establish the well-posedness of the system and show that the dissipation through the frictional damping is strong enough to uniformly stabilize the system even in the presence of delay. 参考文献 | 相关文章 | 计量指标

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ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER Batirkhan TURMETOV 数学物理学报(英文版). 2016 (3):  831-846.  DOI: 10.1016/S0252-9602(16)30043-1 摘要 ( 77 )   RICH HTML PDF   收藏 In the paper we study questions about solvability of some boundary value problems for a non-homogenous poly-harmonic equation. As a boundary operator we consider differentiation operator of fractional order in Miller-Ross sense. The considered problem is a generalization of well-known Dirichlet and Neumann problems. 参考文献 | 相关文章 | 计量指标

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PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL 闫奇姝 数学物理学报(英文版). 2016 (3):  847-862.  DOI: 10.1016/S0252-9602(16)30044-3 摘要 ( 76 )   RICH HTML PDF   收藏 This paper is concerned with periodic optimal control problems governed by semilinear parabolic differential equations with impulse control. Pontryagin's maximum principle is derived. The proofs rely on a unique continuation estimate at one time for a linear parabolic equation. 参考文献 | 相关文章 | 计量指标

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INITIAL COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS H. M. SRIVASTAVA, S. GABOURY, F. GHANIM 数学物理学报(英文版). 2016 (3):  863-871.  DOI: 10.1016/S0252-9602(16)30045-5 摘要 ( 99 )   RICH HTML PDF   收藏 In the present investigation, we consider two new general subclasses β∑m(τ, λ; α) and β∑m*(τ, λ; β) of ∑m consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. For functions belonging to the two classes introduced here, we derive non-sharp estimates on the initial coefficients|am+1|and|a2m+1|. Several connections to some of the earlier known results are also pointed out. 参考文献 | 相关文章 | 计量指标

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OPTIMAL CONDITIONS OF GLOBAL EXISTENCE AND BLOW-UP FOR A NONLINEAR PARABOLIC EQUATION 蒋毅, 罗川 数学物理学报(英文版). 2016 (3):  872-880.  DOI: 10.1016/S0252-9602(16)30046-7 摘要 ( 61 )   RICH HTML PDF   收藏 According to the variational analysis and the potential well argument, we get the optimal conditions of global existence and blow-up for a type of nonlinear parabolic equations. Furthermore, we give its application in the instability of the steady states. 参考文献 | 相关文章 | 计量指标

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FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY Nikolay KUTEV, Natalia KOLKOVSKA, Milena DIMOVA 数学物理学报(英文版). 2016 (3):  881-890.  DOI: 10.1016/S0252-9602(16)30047-9 摘要 ( 59 )   RICH HTML PDF   收藏 Finite time blow up of the solutions to Boussinesq equation with linear restoring force and combined power nonlinearities is studied. Sufficient conditions on the initial data for nonexistence of global solutions are derived. The results are valid for initial data with arbitrary high positive energy. The proofs are based on the concave method and new sign preserving functionals. 参考文献 | 相关文章 | 计量指标

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DYNAMICS OF NEW CLASS OF HOPFIELD NEURAL NETWORKS WITH TIME-VARYING AND DISTRIBUTED DELAYS Adnène ARBI, Farouk CHÉRIF, Chaouki AOUITI, Abderrahmen TOUATI 数学物理学报(英文版). 2016 (3):  891-912.  DOI: 10.1016/S0252-9602(16)30048-0 摘要 ( 127 )   RICH HTML PDF   收藏 In this paper, we investigate the dynamics and the global exponential stability of a new class of Hopfield neural network with time-varying and distributed delays. In fact, the properties of norms and the contraction principle are adjusted to ensure the existence as well as the uniqueness of the pseudo almost periodic solution, which is also its derivative pseudo almost periodic. This results are without resorting to the theory of exponential dichotomy. Furthermore, by employing the suitable Lyapunov function, some delay-independent sufficient conditions are derived for exponential convergence. The main originality lies in the fact that spaces considered in this paper generalize the notion of periodicity and almost periodicity. Lastly, two examples are given to demonstrate the validity of the proposed theoretical results. 参考文献 | 相关文章 | 计量指标

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FURTHER INVESTIGATION INTO APPROXIMATION OF A COMMON SOLUTION OF FIXED POINT PROBLEMS AND SPLIT FEASIBILITY PROBLEMS Y. SHEHU, O. T. MEWOMO, F. U. OGBUISI 数学物理学报(英文版). 2016 (3):  913-930.  DOI: 10.1016/S0252-9602(16)30049-2 摘要 ( 102 )   RICH HTML PDF   收藏 The purpose of this paper is to study and analyze an iterative method for finding a common element of the solution set Ω of the split feasibility problem and the set F(T) of fixed points of a right Bregman strongly nonexpansive mapping T in the setting of p-uniformly convex Banach spaces which are also uniformly smooth. By combining Mann's iterative method and the Halpern's approximation method, we propose an iterative algorithm for finding an element of the set F(T)∩Ω; moreover, we derive the strong convergence of the proposed algorithm under appropriate conditions and give numerical results to verify the efficiency and implementation of our method. Our results extend and complement many known related results in the literature. 参考文献 | 相关文章 | 计量指标

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MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION 吴法, 戴晖辉, 孔德兴 数学物理学报(英文版). 2016 (3):  931-944.  DOI: 10.1016/S0252-9602(16)30050-9 摘要 ( 60 )   RICH HTML PDF   收藏 In this paper, by taking into account the thickness of the incident shock as well as the influence of the boundary layer, we point out that even in a regular reflection there should be present a contact discontinuity. By using the smallest energy criterion, the inclined angle of this contact discontinuity can be determined for differen incident angle. Then, with this inclined contact discontinuity, together with the law of conservation of mass, the mechanism for the transition from a regular reflection to a Mach reflection or a von Neumann reflection becomes clear. The important roles played by the leftest point in the reflected shock polar are identified. 参考文献 | 相关文章 | 计量指标

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PARTIAL SCHAUDER ESTIMATES FOR A SUB-ELLIPTIC EQUATION 魏娜, 蒋永生, 吴永洪 数学物理学报(英文版). 2016 (3):  945-956.  DOI: 10.1016/S0252-9602(16)30051-0 摘要 ( 70 )   RICH HTML PDF   收藏 In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Newton potential. 参考文献 | 相关文章 | 计量指标

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FIXED POINTS OF α-TYPE F-CONTRACTIVE MAPPINGS WITH AN APPLICATION TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION Dhananjay GOPAL, Mujahid ABBAS, Deepesh Kumar PATEL, Calogero VETRO 数学物理学报(英文版). 2016 (3):  957-970.  DOI: 10.1016/S0252-9602(16)30052-2 摘要 ( 60 )   RICH HTML PDF   收藏 In this paper, we introduce new concepts of α-type F-contractive mappings which are essentially weaker than the class of F-contractive mappings given in[21, 22] and differ-ent from α-GF-contractions given in[8]. Then, sufficient conditions for the existence and uniqueness of fixed point are established for these new types of contractive mappings, in the setting of complete metric space. Consequently, the obtained results encompass various generalizations of the Banach contraction principle. Moreover, some examples and an appli-cation to nonlinear fractional differential equation are given to illustrate the usability of the new theory. 参考文献 | 相关文章 | 计量指标