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2016年, 第36卷, 第6期　刊出日期：2016-12-25 上一期    下一期

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GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY Nermina MUJAKOVIC, Nelida CRNJARIC-ZIC 数学物理学报(英文版). 2016 (6):  1541-1576.  DOI: 10.1016/S0252-9602(16)30090-X 摘要 ( 75 )   RICH HTML PDF   收藏 In this paper we consider the nonstationary 1D flow of the compressible viscous and heat-conducting micropolar fluid, assuming that it is in the thermodynamically sense perfect and polytropic. The fluid is between a static solid wall and a free boundary connected to a vacuum state. We take the homogeneous boundary conditions for velocity, microrotation and heat flux on the solid border and that the normal stress, heat flux and microrotation are equal to zero on the free boundary. The proof of the global existence of the solution is based on a limit procedure. We define the finite difference approximate equations system and construct the sequence of approximate solutions that converges to the solution of our problem globally in time. 参考文献 | 相关文章 | 计量指标

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MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM 巩万中, 张道祥 数学物理学报(英文版). 2016 (6):  1577-1589.  DOI: 10.1016/S0252-9602(16)30091-1 摘要 ( 69 )   RICH HTML PDF   收藏 In Orlicz-Lorentz sequence space λ ?,ω° with the Orlicz norm, uniform monotonicity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in λ ?,ω° are discussed. 参考文献 | 相关文章 | 计量指标

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LARGE TIME BEHAVIOR OF A THIRD GRADE FLUID SYSTEM 柴晓娟, 陈正争, 钮维生 数学物理学报(英文版). 2016 (6):  1590-1608.  DOI: 10.1016/S0252-9602(16)30092-3 摘要 ( 110 )   RICH HTML PDF   收藏 We consider the large time behavior of a non-autonomous third grade fluid system, which could be viewed as a perturbation of the classical Navier-Stokes system. Under proper assumptions, we firstly prove that the family of processes generated by the problem admits a uniform attractor in the natural phase space. Then we prove the upper-semicontinuity of the uniform attractor when the perturbation tends to zero. 参考文献 | 相关文章 | 计量指标

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RIGIDITY OF COMPACT SURFACES IN HOMOGENEOUS 3-MANIFOLDS WITH CONSTANT MEAN CURVATURE 王静, 张银山 数学物理学报(英文版). 2016 (6):  1609-1618.  DOI: 10.1016/S0252-9602(16)30093-5 摘要 ( 92 )   RICH HTML PDF   收藏 In this paper, we establish a rigidity theorem for compact constant mean curvature surfaces of the Berger sphere in terms of the surfaces' geometric invariants. This extends the previous similar result on compact minimal surfaces of the Berger sphere. 参考文献 | 相关文章 | 计量指标

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A PROJECTION-TYPE ALGORITHM FOR SOLVING GENERALIZED MIXED VARIATIONAL INEQUALITIES 涂凯, 夏福全 数学物理学报(英文版). 2016 (6):  1619-1630.  DOI: 10.1016/S0252-9602(16)30094-7 摘要 ( 135 )   RICH HTML PDF   收藏 We propose a projection-type algorithm for generalized mixed variational inequality problem in Euclidean space Rn. We establish the convergence theorem for the proposed algorithm, provided the multi-valued mapping is continuous and f-pseudomonotone with nonempty compact convex values on dom(f), where f:Rn→R∪{+∞} is a proper function. The algorithm presented in this paper generalize and improve some known algorithms in literatures. Preliminary computational experience is also reported. 参考文献 | 相关文章 | 计量指标

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A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS Bashir AHMAD, Sotiris K. NTOUYAS, Jessada TARIBOON 数学物理学报(英文版). 2016 (6):  1631-1640.  DOI: 10.1016/S0252-9602(16)30095-9 摘要 ( 100 )   RICH HTML PDF   收藏 In this paper, we discuss the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations. Our main result is based on a hybrid fixed point theorem for a sum of three operators due to Dhage, and is well illustrated with the aid of an example. 参考文献 | 相关文章 | 计量指标

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STRONGLY CONVERGENT ITERATIVE METHODS FOR SPLIT EQUALITY VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES 张石生, 王林, 秦丽娟, 马招丽 数学物理学报(英文版). 2016 (6):  1641-1650.  DOI: 10.1016/S0252-9602(16)30096-0 摘要 ( 156 )   RICH HTML PDF   收藏 The purpose of this paper is to introduce and study the split equality variational inclusion problems in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Under suitable conditions, some strong convergence theorems for the sequences generated by the proposed algorithm are proved. As applications, we shall utilize the results presented in the paper to study the split equality feasibility problems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION 夏莉, 李敬娜, 刘强 数学物理学报(英文版). 2016 (6):  1651-1661.  DOI: 10.1016/S0252-9602(16)30097-2 摘要 ( 89 )   RICH HTML PDF   收藏 In this paper, we are concerned with a singular parabolic equation subject to Dirichlet boundary condition and initial condition. Under different assumptions on μ, ν and ψ, some existence results are obtained by applying parabolic regularization method and the sub-super solutions method. 参考文献 | 相关文章 | 计量指标

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WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS Mohammed Salah M'HAMDI, Chaouki AOUITI, Abderrahmane TOUATI, Adel M. ALIMI, Vaclav SNASEL 数学物理学报(英文版). 2016 (6):  1662-1682.  DOI: 10.1016/S0252-9602(16)30098-4 摘要 ( 107 )   RICH HTML PDF   收藏 In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results. 参考文献 | 相关文章 | 计量指标

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ON GENERALIZED FEYNMAN-KAC TRANSFORMATION FOR MARKOV PROCESSES ASSOCIATED WITH SEMI-DIRICHLET FORMS 韩新方, 马丽 数学物理学报(英文版). 2016 (6):  1683-1698.  DOI: 10.1016/S0252-9602(16)30099-6 摘要 ( 82 )   RICH HTML PDF   收藏 Suppose that X is a right process which is associated with a semi-Dirichlet form (ε, D(ε)) on L2(E; m). Let J be the jumping measure of (ε, D(ε)) satisfying J(E×E-d)<∞. Let u∈D(ε)b:=D(ε)∩L∞(E; m), we have the following Fukushima's decomposition ?(Xt)-?(X0)=Mtu+Ntu. Define Ptuf(x)=Ex[eNtuf(Xt)]. Let Qu(f, g)=ε(f, g)+ε(u, fg) for f, g∈D(ε)b. In the first part, under some assumptions we show that (Qu, D(ε)b) is lower semi-bounded if and only if there exists a constant α0≥0 such that ||Ptu||2≤eα0t for every t>0. If one of these assertions holds, then (Ptu)t≥0 is strongly continuous on L2(E; m). If X is equipped with a differential structure, then under some other assumptions, these conclusions remain valid without assuming J(E×E-d)<∞. Some examples are also given in this part. Let At be a local continuous additive functional with zero quadratic variation. In the second part, we get the representation of At and give two sufficient conditions for PtAf(x)=Ex[eAtf(Xt)] to be strongly continuous. 参考文献 | 相关文章 | 计量指标

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VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS 施小丁, 雍燕, 张英龙 数学物理学报(英文版). 2016 (6):  1699-1720.  DOI: 10.1016/S0252-9602(16)30100-X 摘要 ( 61 )   RICH HTML PDF   收藏 In this paper, we study the vanishing viscosity limit for non-isentropic gas dynamics with interacting shocks. Given any entropy solution of non-isentropic gas dynamics which consists of two different families of shocks interacting at some positive time, we show that such solution is the vanishing viscosity limit of a family of smooth global solutions for a viscous system of conservation law. We remark that, after the interacting time, not only shocks but also contact discontinuity are generated. 参考文献 | 相关文章 | 计量指标

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STABLE RECOVERY OF SIGNALS WITH THE HIGH ORDER D-RIP CONDITION 谌稳固, 李亚玲 数学物理学报(英文版). 2016 (6):  1721-1730.  DOI: 10.1016/S0252-9602(16)30101-1 摘要 ( 71 )   RICH HTML PDF   收藏 This paper establishes a high order condition on the restricted isometry property adapted to a frame D (D-RIP) for the signal recovery. It is shown that if the measurement matrix A satisfies the D-RIP condition δtk<√(t-1)/(t) for t>1, then all signals f which are sparse in terms of a tight frame D can be recovered stably or exactly via the l1-analysis model based on y=Af+z in l2 and Dantzig selector bounded noise setting. 参考文献 | 相关文章 | 计量指标

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A BIFURCATION PROBLEM ASSOCIATED TO AN ASYMPTOTICALLY LINEAR FUNCTION Soumaya SÂANOUNI, Nihed TRABELSI 数学物理学报(英文版). 2016 (6):  1731-1746.  DOI: 10.1016/S0252-9602(16)30102-3 摘要 ( 88 )   RICH HTML PDF   收藏 We study the existence of positive solutions to a two-order semilinear elliptic problem with Dirichlet boundary condition     (Pλ)    -div(c(x)∇u)=λf(u) in Ω,             u=0 on ∂Ω, where Ω⊂Rn; n≥2 is a smooth bounded domain; f is a positive, increasing and convex source term and c(x) is a smooth bounded positive function on Ω. We also prove the existence of critical value and claim the uniqueness of extremal solutions. 参考文献 | 相关文章 | 计量指标

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ON DOUBLY WARPED PRODUCT OF COMPLEX FINSLER MANIFOLDS 何勇, 钟春平 数学物理学报(英文版). 2016 (6):  1747-1766.  DOI: 10.1016/S0252-9602(16)30103-5 摘要 ( 80 )   RICH HTML PDF   收藏 Let (M1,F1) and (M2,F2) be two strongly pseudoconvex complex Finsler manifolds. The doubly wraped product complex Finsler manifold (f2M1×f1M2, F) of (M1, F1) and (M2, F2) is the product manifold M1×M2 endowed with the warped product complex Finsler metric F2=f22F12+f12F22, where f1 and f2 are positive smooth functions on M1 and M2, respectively. In this paper, the most often used complex Finsler connections, holomorphic curvature, Ricci scalar curvature, and real geodesics of the DWP-complex Finsler manifold are derived in terms of the corresponding objects of its components. Necessary and sufficient conditions for the DWP-complex Finsler manifold to be Kähler Finsler (resp., weakly Kähler Finsler, complex Berwald, weakly complex Berwald, complex Landsberg) manifold are obtained, respectively. It is proved that if (M1, F1) and (M2, F2) are projectively flat, then the DWP-complex Finsler manifold is projectively flat if and only if f1 and f2 are positive constants. 参考文献 | 相关文章 | 计量指标

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PROPERTIES OF THE MODIFIED ROPER-SUFFRIDGE EXTENSION OPERATORS ON REINHARDT DOMAINS 王朝君, 崔艳艳, 刘浩 数学物理学报(英文版). 2016 (6):  1767-1779.  DOI: 10.1016/S0252-9602(16)30104-7 摘要 ( 54 )   RICH HTML PDF   收藏 In this paper, we mainly discuss the properties of the modified Roper-Suffridge operators on Reinhardt domains. By the analytical characteristics and distortion results of subclasses of biholomorphic mappings, we conclude that the modified Roper-Suffridge operators preserve the properties of SΩ*(β, A, B), almost starlike mapping of complex order λ on Ωn,p2,…,pn. Sequentially, we get that the modified Roper-Suffridge operators preserve spirallikeness of type β and order α, strongly pirallikeness of type β and order α, almost starlikeness of order α on Ωn,p2,…,pn. The conclusions provide a new approach to construct these biholomorphic mappings which have special geometric properties in several complex variables. 参考文献 | 相关文章 | 计量指标

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EXISTENCE AND UNIQUENESS OF NON-TRIVIAL SOLUTION OF PARABOLIC p-LAPLACIAN-LIKE DIFFERENTIAL EQUATION WITH MIXED BOUNDARIES 魏利, 陈蕊, Ravi P. AGARWAL, Patricia YJ WONG 数学物理学报(英文版). 2016 (6):  1780-1792.  DOI: 10.1016/S0252-9602(16)30105-9 摘要 ( 64 )   RICH HTML PDF   收藏 One parabolic p-Laplacian-like differential equation with mixed boundaries is studied in this paper, where the item ((∂u)/(∂t)) in the corresponding studies is replaced by α(((∂u)/(∂t))), which makes it more general. The sufficient condition of the existence and uniqueness of non-trivial solution in L2(0, T; L2(Ω)) is presented by employing the techniques of splitting the boundary problems into operator equation. Compared to the corresponding work, the restrictions imposed on the equation are weaken and the proof technique is simplified. It can be regarded as the extension and complement of the previous work. 参考文献 | 相关文章 | 计量指标

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MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN 许勇强, 谭忠, 孙道恒 数学物理学报(英文版). 2016 (6):  1793-1803.  DOI: 10.1016/S0252-9602(16)30106-0 摘要 ( 72 )   RICH HTML PDF   收藏 In this paper, we consider a class of superlinear elliptic problems involving fractional Laplacian (-Δ)s/2u=λf(u) in a bounded smooth domain with zero Dirichlet boundary condition. We use the method on harmonic extension to study the dependence of the number of sign-changing solutions on the parameter λ. 参考文献 | 相关文章 | 计量指标

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SHARP ESTIMATES OF ALL HOMOGENEOUS EXPANSIONS FOR A SUBCLASS OF QUASI-CONVEX MAPPINGS OF TYPE B AND ORDER α IN SEVERAL COMPLEX VARIABLES 刘小松, 刘太顺 数学物理学报(英文版). 2016 (6):  1804-1818.  DOI: 10.1016/S0252-9602(16)30107-2 摘要 ( 83 )   RICH HTML PDF   收藏 In this article, first, the sharp estimates of all homogeneous expansions for a subclass of quasi-convex mappings of type B and order α on the unit ball in complex Banach spaces are given. Second, the sharp estimates of all homogeneous expansions for the above generalized mappings on the unit polydisk in Cn are also established. In particular, the sharp estimates of all homogeneous expansions for a subclass of quasi-convex mappings (include quasi-convex mappings of type A and quasi-convex mappings of type B) in several complex variables are get accordingly. Our results state that a weak version of the Bieberbach conjecture for quasi-convex mappings of type B and order α in several complex variables is proved, and the derived conclusions are the generalization of the classical results in one complex variable. 参考文献 | 相关文章 | 计量指标

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THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH 张金国, 刘晓春 数学物理学报(英文版). 2016 (6):  1819-1831.  DOI: 10.1016/S0252-9602(16)30108-4 摘要 ( 87 )   RICH HTML PDF   收藏 In this paper, we deal with the existence and multiplicity of solutions to the fractional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that our problem has at least three solutions. 参考文献 | 相关文章 | 计量指标

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NEW LOWER BOUNDS FOR LEE DISCREPANCY ON TWO AND THREE MIXED LEVELS FACTORIALS 宋硕, 张琼慧, 邹娜, 覃红 数学物理学报(英文版). 2016 (6):  1832-1840.  DOI: 10.1016/S0252-9602(16)30109-6 摘要 ( 63 )   RICH HTML PDF   收藏 The objective of this paper is to study the issue of uniformity on asymmetrical designs with two and three mixed levels in terms of Lee discrepancy. Based on the known formulation, we present a new lower bound of Lee discrepancy of fractional factorial designs with two and three mixed levels. Our new lower bound is sharper and more valid than other existing lower bounds in literature, which is a useful complement to the lower bound theory of discrepancies. 参考文献 | 相关文章 | 计量指标