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2018年, 第38卷, 第6期　刊出日期：2018-12-25 上一期    下一期

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NONLINEAR SEMIGROUP APPROACH TO TRANSPORT EQUATIONS WITH DELAYED NEUTRONS Abdul-Majeed AL-IZERI, Khalid LATRACH 数学物理学报(英文版). 2018 (6):  1637-1654.  摘要 ( 103 )   RICH HTML PDF   收藏 This paper deal with a nonlinear transport equation with delayed neutron and general boundary conditions. We establish, via the nonlinear semigroups approach, the existence and uniqueness of the mild solution, weak solution, strong solution and local solution on Lp-spaces (1 ≤ p<+∞). Local and non local evolution problems are discussed. 参考文献 | 相关文章 | 计量指标

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THE COMBINED INVISCID AND NON-RESISTIVE LIMIT FOR THE NONHOMOGENEOUS INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH NAVIER BOUNDARY CONDITIONS 张志朋 数学物理学报(英文版). 2018 (6):  1655-1677.  摘要 ( 64 )   RICH HTML PDF   收藏 In this paper, we establish the existence of the global weak solutions for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions for the velocity field and the magnetic field in a bounded domain Ω ⊂ R3. Furthermore, we prove that as the viscosity and resistivity coefficients go to zero simultaneously, these weak solutions converge to the strong one of the ideal nonhomogeneous incompressible magnetohydrodynamic equations in energy space. 参考文献 | 相关文章 | 计量指标

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A NOTE ON q-DIFFERENCE OPERATOR AND RELATED LIMIT DIRECTION 李叶舟, 宋宁芳 数学物理学报(英文版). 2018 (6):  1678-1688.  摘要 ( 59 )   RICH HTML PDF   收藏 The growth of entire functions under the q-difference operators is studied in this paper, and then some properties of Julia set of entire functions under the higher order q-difference operators are obtained. 参考文献 | 相关文章 | 计量指标

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ALTERNATING DIRECTION IMPLICIT OSC SCHEME FOR THE TWO-DIMENSIONAL FRACTIONAL EVOLUTION EQUATION WITH A WEAKLY SINGULAR KERNEL 张海湘, 杨雪花, 徐大 数学物理学报(英文版). 2018 (6):  1689-1711.  摘要 ( 37 )   RICH HTML PDF   收藏 In this paper, a new kind of alternating direction implicit (ADI) Crank-Nicolson-type orthogonal spline collocation (OSC) method is formulated for the two-dimensional fractional evolution equation with a weakly singular kernel arising in the theory of linear viscoelasticity. The novel OSC method is used for the spatial discretization, and ADI Crank-Nicolson-type method combined with the second order fractional quadrature rule are considered for the temporal component. The stability of proposed scheme is rigourously established, and nearly optimal order error estimate is also derived. Numerical experiments are conducted to support the predicted convergence rates and also exhibit expected super-convergence phenomena. 参考文献 | 相关文章 | 计量指标

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SIGN-CHANGING SOLUTIONS FOR THE STATIONARY KIRCHHOFF PROBLEMS INVOLVING THE FRACTIONAL LAPLACIAN IN RN 程琨, 高琦 数学物理学报(英文版). 2018 (6):  1712-1730.  摘要 ( 66 )   RICH HTML PDF   收藏 In this paper, we study the existence of least energy sign-changing solutions for a Kirchhoff-type problem involving the fractional Laplacian operator. By using the constraint variation method and quantitative deformation lemma, we obtain a least energy nodal solution ub for the given problem. Moreover, we show that the energy of ub is strictly larger than twice the ground state energy. We also give a convergence property of ub as b↘ 0, where b is regarded as a positive parameter. 参考文献 | 相关文章 | 计量指标

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DYNAMICS OF A HEPATITIS B MODEL WITH SATURATED INCIDENCE 刘丽雅, 蒋达清, Tasawar HAYAT, Bashir AHMAD 数学物理学报(英文版). 2018 (6):  1731-1750.  摘要 ( 50 )   RICH HTML PDF   收藏 In this article, we present a hepatitis B epidemic model with saturated incidence. The dynamic behaviors of the deterministic and stochastic system are studied. To this end, we first establish the local and global stability conditions of the equilibrium of the deterministic model. Second, by constructing suitable stochastic Lyapunov functions, the sufficient conditions for the existence of ergodic stationary distribution as well as extinction of hepatitis B are obtained. 参考文献 | 相关文章 | 计量指标

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HARNACK AND MEAN VALUE INEQUALITIES ON GRAPHS 林勇, 宋宏业 数学物理学报(英文版). 2018 (6):  1751-1758.  摘要 ( 36 )   RICH HTML PDF   收藏 We prove a Harnack inequality for positive harmonic functions on graphs which is similar to a classical result of Yau on Riemannian manifolds. Also, we prove a mean value inequality of nonnegative subharmonic functions on graphs. 参考文献 | 相关文章 | 计量指标

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LOCAL EXISTENCE AND BLOW-UP CRITERION OF 3D IDEAL MAGNETOHYDRODYNAMICS EQUATIONS Jae-Myoung KIM 数学物理学报(英文版). 2018 (6):  1759-1766.  摘要 ( 28 )   RICH HTML PDF   收藏 We investigate the local existence of smooth solutions of a 3D ideal magnetohydrodynamics (MHD) equations in a bounded domain and give a blow-up criteria to this equations with respect to vorticists. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF SOLUTIONS FOR GRADIENT SYSTEMS WITH APPLICATION TO DIFFUSION PROBLEMS INVOLVING NONCONVEX ENERGIES Sahbi BOUSSANDEL 数学物理学报(英文版). 2018 (6):  1767-1778.  摘要 ( 36 )   RICH HTML PDF   收藏 In this paper, we establish the existence of solutions for gradient systems of evolution under some type (M) and semi-coerciveness conditions. The main result is applied in order to solve nonlinear diffusion equations involving nonconvex energies. 参考文献 | 相关文章 | 计量指标

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CARLESON MEASURES AND THE GENERALIZED CAMPANATO SPACES OF VECTOR-VALUED MARTINGALES 于林, 王汝慧, 赵守江 数学物理学报(英文版). 2018 (6):  1779-1788.  摘要 ( 34 )   RICH HTML PDF   收藏 In this paper, the so-called (p, φ)-Carleson measure is introduced and the relationship between vector-valued martingales in the general Campanato spaces Lp,φ(X) and the (p, φ)-Carleson measures is investigated. Specifically, it is proved that for q ∈[2, ∞), the measure dμ:=||dfk||qdP ⊗ dm is a (q, φ)-Carleson measure on Ω×N for every f ∈ Lq,φ(X) if and only if X has an equivalent norm which is q-uniformly convex; while for p ∈ (1, 2], the measure dμ:=||dfk||pdP⊗dm is a (p, φ)-Carleson measure on Ω×N implies that f ∈ Lp,φ(X) if and only if X admits an equivalent norm which is p-uniformly smooth. This result extends an earlier result in the literature from BMO spaces to general Campanato spaces. 参考文献 | 相关文章 | 计量指标

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THE Cn WP-BAILEY CHAIN 张之正, 黄俊利 数学物理学报(英文版). 2018 (6):  1789-1804.  摘要 ( 35 )   RICH HTML PDF   收藏 The purpose of this paper is to introduce the concept of Cn WP-Bailey pairs. The Cn WP-Bailey transform is obtained by applying the Cn 6φ5 summation formula. From this result, the Cn WP-Bailey lemma is deduced by making use of the Cn q-Dougall summation formula. Some applications are investigated. Finally, the case of elliptic Cn WP-Bailey pairs is discussed. 参考文献 | 相关文章 | 计量指标

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ALGORITHMS FOR A SYSTEM OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND A COUNTABLE FAMILY OF SOME NONLINEAR MULTI-VALUED NONEXPANSIVE-TYPE MAPS Ogonnaya Michael ROMANUS, Ukamaka Victoria NNYABA, Monday Ogudu NNAKWE 数学物理学报(英文版). 2018 (6):  1805-1820.  摘要 ( 34 )   RICH HTML PDF   收藏 In this paper, relaxed iterative algorithms of Krasnoselskii-type and Halpern-type that approximate a solution of a system of a generalized mixed equilibrium problem and a common fixed point of a countable family of totally quasi-φ-asymptotically nonexpansive multi-valued maps are constructed. Strong convergence of the sequence generated by these algorithms is proved in uniformly smooth and strictly convex real Banach spaces with Kadec-Klee property. Furthermore, several applications of our theorems are also presented. Finally, our theorems are significant improvements on several important recent results for this class of nonlinear problems. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF MULTIPLE SOLUTIONS FOR A FRACTIONAL p-LAPLACIAN SYSTEM WITH CONCAVE-CONVEX TERM 谢君辉, 黄孝忠, 陈以平 数学物理学报(英文版). 2018 (6):  1821-1832.  摘要 ( 39 )   RICH HTML PDF   收藏 In this article, we study the existence of multiple solutions for the following system driven by a nonlocal integro-differential operator with zero Dirichlet boundary conditions where Ω is a smooth bounded domain in Rn, n > ps with s ∈ (0, 1) fixed, a(x), b(x), c(x) ≥ 0 and a(x), b(x), c(x) ∈ L∞(Ω), 1< q < p and α, β > 1 satisfy p < α +β < p*, p*=np/n-ps. By Nehari manifold and fibering maps with proper conditions, we obtain the multiplicity of solutions to problem (0.1). 参考文献 | 相关文章 | 计量指标

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GLOBAL WELL-POSEDNESS FOR THE DENSITY-DEPENDENT INCOMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS IN BOUNDED DOMAINS 陈德富, 叶霞 数学物理学报(英文版). 2018 (6):  1833-1845.  摘要 ( 25 )   RICH HTML PDF(191KB) ( 12 )   收藏 In this paper, we study the three-dimensional incompressible magnetohydrodynamic equations in a smooth bounded domains, in which the viscosity of the fluid and the magnetic diffusivity are concerned with density. The existence of global strong solutions is established in vacuum cases, provided the assumption that (||▽μ(ρ0)||Lp +||▽ν(ρ0)||Lq +||b0||L3+||ρ0||L∞) (p, q > 3) is small enough, there is not any smallness condition on the velocity. 参考文献 | 相关文章 | 计量指标

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THE GLM REPRESENTATION OF THE TWO-COMPONENT NONLINEAR SCHRÖDINGER EQUATION ON THE HALF-LINE 朱巧珍, 范恩贵, 徐建 数学物理学报(英文版). 2018 (6):  1846-1860.  摘要 ( 29 )   RICH HTML PDF   收藏 The Gelfand-Levitan-Marchenko representation is used to analyze the initial-boundary value problem of two-component nonlinear Schrödinger equation on the half-line. It has shown that the global relation can be effectively analyzed by the Gelfand-Levitan-Marchenko representation. we also derive expressions for the Dirichlet-to-Neumann map to characterize the unknown boundary values. 参考文献 | 相关文章 | 计量指标

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AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL 张学军, 黎深莲, 尚清丽, 郭雨婷 数学物理学报(英文版). 2018 (6):  1861-1880.  摘要 ( 32 )   RICH HTML PDF   收藏 In this article, the authors give a typical integral's bidirectional estimates for all cases. At the same time, several equivalent characterizations on the F(p,q,s,k) space in the unit ball of Cn are given. 参考文献 | 相关文章 | 计量指标

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BOUNDARY FEEDBACK STABILIZATION OF BOUSSINESQ EQUATIONS 刘汉兵, 肖海军 数学物理学报(英文版). 2018 (6):  1881-1902.  摘要 ( 32 )   RICH HTML PDF   收藏 The aim of this work is to design oblique boundary feedback controller for stabilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain in R2. Two kinds of such feedback controller are provided, one is the proportional stabilizable feedback control, which is obtained by spectrum decomposition method, while another one is constructed via the Ricatti operator for an infinite time horizon optimal control problem. An example of periodic Boussinesq flow in 2-D channel is also given. 参考文献 | 相关文章 | 计量指标

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LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID 林桂娟 数学物理学报(英文版). 2018 (6):  1903-1911.  摘要 ( 30 )   RICH HTML PDF   收藏 We give the sharp lower bound for Ricci curvature on the real ellipsoid in Cn+1, and prove the Lichnerowicz-Obata theorem for Kohn Laplacian. 参考文献 | 相关文章 | 计量指标

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ON BANACH-STONE TYPE THEOREMS IN UNIFORM MULTIPLICATIVE SUBGROUPS OF C(K)-SPACES 董云柏, 林培基, 郑本拓 数学物理学报(英文版). 2018 (6):  1912-1920.  摘要 ( 27 )   RICH HTML PDF   收藏 In this article, we study the preservation properties of (Šilov) boundary of multiplicative subgroups in C(X) spaces for non-surjective norm-preserving multiplicative maps. We also show a sufficient condition for surjective maps between groups of positive continuous functions to be a composition operator. 参考文献 | 相关文章 | 计量指标

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ROBUST EXPONENTIAL STABILITY OF SWITCHED DELAY INTERCONNECTED SYSTEMS UNDER ARBITRARY SWITCHING 薛焕斌, 张继业 数学物理学报(英文版). 2018 (6):  1921-1938.  摘要 ( 33 )   RICH HTML PDF   收藏 The problem of robust exponential stability for a class of switched nonlinear dynamical systems with uncertainties and unbounded delay is addressed. On the assumption that the interconnected functions of the studied systems satisfy the Lipschitz condition, by resorting to vector Lyapunov approach and M-matrix theory, the sufficient conditions to ensure the robust exponential stability of the switched interconnected systems under arbitrary switching are obtained. The proposed method, which neither require the individual subsystems to share a Common Lyapunov Function (CLF), nor need to involve the values of individual Lyapunov functions at each switching time, provide a new way of thinking to study the stability of arbitrary switching. In addition, the proposed criteria are explicit, and it is convenient for practical applications. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the proposed theories. 参考文献 | 相关文章 | 计量指标

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FINITE EXTENSIONS OF GENERALIZED BESSEL SEQUENCES TO GENERALIZED FRAMES 李登峰, 李艳婷 数学物理学报(英文版). 2018 (6):  1939-1950.  摘要 ( 58 )   RICH HTML PDF   收藏 The objective of this paper is to investigate the question of modifying a given generalized Bessel sequence to yield a generalized frame or a tight generalized frame by finite extension. Some necessary and sufficient conditions for the finite extensions of generalized Bessel sequences to generalized frames or tight generalized frames are provided, and every result is illustrated by the corresponding example. 参考文献 | 相关文章 | 计量指标

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HERMAN RINGS WITH SMALL PERIODS AND OMITTED VALUES Tarun Kumar CHAKRA, Gorachand CHAKRABORTY, Tarakanta NAYAK 数学物理学报(英文版). 2018 (6):  1951-1965.  摘要 ( 64 )   RICH HTML PDF   收藏 All possible arrangements of cycles of three periodic as well as four periodic Herman rings of transcendental meromorphic functions having at least one omitted value are determined. It is shown that if p=3 or 4, then the number of p-cycles of Herman rings is at most one. We have also proved a result about the non-existence of a 3-cycle and a 4-cycle of Herman rings simultaneously. Finally some examples of functions having no Herman ring are discussed. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF GROUND STATE SOLUTIONS TO HAMILTONIAN ELLIPTIC SYSTEM WITH POTENTIALS 王文波, 李全清 数学物理学报(英文版). 2018 (6):  1966-1980.  摘要 ( 47 )   RICH HTML PDF   收藏 In this paper, we investigate nonlinear Hamiltonian elliptic system where N ≥ 3, τ > 0 is a positive parameter and V, K are nonnegative continuous functions, f and g are both superlinear at 0 with a quasicritical growth at infinity. By establishing a variational setting, the existence of ground state solutions is obtained. 参考文献 | 相关文章 | 计量指标