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2013年, 第33卷, 第3期　刊出日期：2013-05-20 上一期    下一期

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DIFFERENTIAL SUBORDINATIONS AND α-CONVEX FUNCTIONS Jacek DZIOK|Ravinder Krishna RAINA|Janusz SOKóL 数学物理学报(英文版). 2013 (3):  609-620.  DOI: 10.1016/S0252-9602(13)60024-7 摘要 ( 282 )   RICH HTML PDF(241KB) ( 1094 )   收藏 This article presents some new results on the class SLM of functions that are analytic in the open unit disc U = {z : |z| < 1} satisfying the conditions that f(0) = 0, f′(0) = 1, and α （1 +zf´´(z)/f′(z)）+ (1 − α)zf′(z)/f(z) ∈p(U) for all z ∈ U, where α is a real number and p(z) =1 + τ 2z2/1 − τ z − τ 2z2 (z ∈ U). The number τ = (1 − √5)/2 is such that τ 2 = 1 + τ . The class SLM introduced by J. Dziok, R.K. Raina, and J. Sok´o l [3, Appl. Math. Comput. 218 (2011), 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory. 参考文献 | 相关文章 | 计量指标

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ON EQUITABLE VERTEX DISTINGUISHING EDGE COLORINGS OF TREES 姚兵, 陈祥恩, 镡松龄 数学物理学报(英文版). 2013 (3):  621-630.  DOI: 10.1016/S0252-9602(13)60025-9 摘要 ( 218 )   RICH HTML PDF(231KB) ( 486 )   收藏 It has been known that determining the exact value of vertex distinguishing edge index ′s(G) of a graph G is difficult, even for simple classes of graphs such as paths, cycles, bipartite complete graphs, complete, graphs, and graphs with maximum degree 2. Let nd(G) denote the number of vertices of degree d in G, and let  x ′es(G) be the equitable vertex distinguishing edge index of G. We show that a tree T holds n1(T)≤x  ′s(T) ≤ n1(T) + 1 and  x ′s(T) = x  ′es(T) if T satisfies one of the following conditions (i) n2(T) ≤ Α(T) or (ii) there exists a constant c with respect to 0 < c < 1 such that n2(T)≤ cn1(T) and ∑3≤d≤Δ(T) nd(T) ≤ (1 − c)n1(T) + 1. 参考文献 | 相关文章 | 计量指标

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CONCENTRATION OF SOLUTIONS FOR THE MEAN CURVATURE PROBLEM Wael ABDELHEDI 数学物理学报(英文版). 2013 (3):  631-642.  DOI: 10.1016/S0252-9602(13)60026-0 摘要 ( 231 )   RICH HTML PDF(185KB) ( 875 )   收藏 We consider the problem of conformal metrics equivalent to the Euclidean met-ric, with zero scalar curvature and prescribed mean curvature on the boundary of the ball Bn , n≥4. By variational methods, we prove the existence of two peak solutions that concen-trate around a strict local maximum points of the mean curvature under certain conditions. 参考文献 | 相关文章 | 计量指标

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GLOBAL SOLUTIONS AND FINITE TIME BLOW UP FOR DAMPED KLEIN-GORDON EQUATION 徐润章, 丁云华 数学物理学报(英文版). 2013 (3):  643-652.  DOI: 10.1016/S0252-9602(13)60027-2 摘要 ( 290 )   RICH HTML PDF(178KB) ( 1044 )   收藏 We study the Cauchy problem of strongly damped Klein-Gordon equation. Global existence and asymptotic behavior of solutions with initial data in the potential well are de-rived. Moreover, not only does finite time blow up with initial data in the unstable set is proved, but also blow up results with arbitrary positive initial energy are obtained. 参考文献 | 相关文章 | 计量指标

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LEBESGUE DECOMPOSITION AND BARTLE–DUNFORD–SCHWARTZ THEOREM IN PSEUDO-D-LATTICES Anna AVALLONE, Paolo VITOLO 数学物理学报(英文版). 2013 (3):  653-677.  DOI: 10.1016/S0252-9602(13)60028-4 摘要 ( 285 )   RICH HTML PDF(273KB) ( 873 )   收藏 Let L be a pseudo-D-lattice. We prove that the exhaustive lattice uniformities on L which makes the operations of L uniformly continuous form a Boolean algebra isomorphic to the centre of a suitable complete pseudo-D-lattice associated to L. As a consequence, we obtain decomposition theorems—such as Lebesgue and Hewitt–Yosida decompositions—and control theorems—such as Bartle–Dunford–Schwartz and Rybakov theorems—for modular measures on L. 参考文献 | 相关文章 | 计量指标

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A NOTE ON GRADIENT BLOWUP RATE OF THE INHOMOGENEOUS HAMILTON-JACOBI EQUATIONS 张正策, 李振杰 数学物理学报(英文版). 2013 (3):  678-686.  DOI: 10.1016/S0252-9602(13)60029-6 摘要 ( 904 )   RICH HTML PDF(174KB) ( 894 )   收藏 The gradient blowup of the equation ut = Δu + a(x)|∇u|p + h(x), where p > 2,  is studied. It is shown that the gradient blowup rate will never match that of the self-similar variables. The exact blowup rate for radial solutions is established under the assumptions on the initial data so that the solution is monotonically increasing in time. 参考文献 | 相关文章 | 计量指标

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MATRIX PRODUCT CODES WITH ROSENBLOOM-TSFASMAN METRIC 陈博聪, 林丽仁, 刘宏伟 数学物理学报(英文版). 2013 (3):  687-700.  DOI: 10.1016/S0252-9602(13)60030-2 摘要 ( 256 )   RICH HTML PDF(189KB) ( 1049 )   收藏 In this article, the Rosenbloom-Tsfasman metric of matrix product codes over finite commutative rings is studied and the lower bounds for the minimal Rosenbloom-Tsfasman distances of the matrix product codes are obtained. The lower bounds of the dual codes of matrix product codes over finite commutative Frobenius rings are also given. 参考文献 | 相关文章 | 计量指标

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INTRINSIC EQUATIONS FOR A GENERALIZED RELAXED ELASTIC LINE ON AN ORIENTED SURFACE IN THE GALILEAN SPACE Tevfik SAHIN 数学物理学报(英文版). 2013 (3):  701-711.  DOI: 10.1016/S0252-9602(13)60031-4 摘要 ( 350 )   RICH HTML PDF(202KB) ( 1348 )   收藏 In this article, we derive the intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Galilean 3-dimensional space G3. These equations will give direct and more geometric approach to questions concerning about generalized relaxed elastic lines on an oriented surface in G3. 参考文献 | 相关文章 | 计量指标

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EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS K. BALACHANDRAN, S. KIRUTHIKA, J. J. TRUJILLO 数学物理学报(英文版). 2013 (3):  712-720.  DOI: 10.1016/S0252-9602(13)60032-6 摘要 ( 351 )   RICH HTML PDF(154KB) ( 1703 )   收藏 This article deals with the existence of solutions of nonlinear fractional panto-graph equations. Such model can be considered suitable to be applied when the corresponding process occurs through strongly anomalous media. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the main result obtained in this article. 参考文献 | 相关文章 | 计量指标

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TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY 汪永海, 王灵芝 数学物理学报(英文版). 2013 (3):  721-737.  DOI: 10.1016/S0252-9602(13)60033-8 摘要 ( 309 )   RICH HTML PDF(220KB) ( 831 )   收藏 In this article, we consider the existence of trajectory and global attractors for nonclassical diffusion equations with linear fading memory. For this purpose, we will apply the method presented by Chepyzhov and Miranville [7, 8], in which the authors provide some new ideas in describing the trajectory attractors for evolution equations with memory. 参考文献 | 相关文章 | 计量指标

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e-FILTERS OF MS-ALGEBRAS M. Sambasiva RAO 数学物理学报(英文版). 2013 (3):  738-746.  DOI: 10.1016/S0252-9602(13)60034-X 摘要 ( 241 )   RICH HTML PDF(160KB) ( 1465 )   收藏 The notion of e-filters is introduced in an MS-algebra and characterized. The concept of D-filters is introduced and a set of equivalent conditions under which every D-filter is an e-filter are given. The properties of the space of all prime e-filters of an MS-algebra are observed. The concept of D-prime filters is introduced and then a set of equivalent conditions are derived for a prime e-filter to become a D-prime filter in topological terms. 参考文献 | 相关文章 | 计量指标

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EXACT NULL CONTROLLABILITY OF NON-AUTONOMOUS FUNCTIONAL EVOLUTION SYSTEMS WITH NONLOCAL CONDITIONS 傅显隆, 张玉 数学物理学报(英文版). 2013 (3):  747-757.  DOI: 10.1016/S0252-9602(13)60035-1 摘要 ( 283 )   RICH HTML PDF(178KB) ( 1133 )   收藏 In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions. In particular, the compactness condi-tion or Lipschitz condition for the function g in the nonlocal conditions appearing in various literatures is not required here. An example is also provided to show an application of the obtained result. 参考文献 | 相关文章 | 计量指标

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EXISTENCE AND UNIQUENESS RESULTS FOR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING GRONWALL´S INEQUALITY IN BANACH SPACES Dimplekumar N. CHALISHAJAR, K. KARTHIKEYAN 数学物理学报(英文版). 2013 (3):  758-772.  DOI: 10.1016/S0252-9602(13)60036-3 摘要 ( 421 )   RICH HTML PDF(205KB) ( 1625 )   收藏 We study boundary value problems for fractional integro-differential equations involving Caputo derivative of order α∈ (n−1, n) in Banach spaces. Existence and uniqueness results of solutions are established by virtue of the Holder´s inequality, a suitable singular Gronwall´s inequality and fixed point theorem via a priori estimate method. At last, examples are given to illustrate the results. 参考文献 | 相关文章 | 计量指标

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ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS 崔巍巍, 杨连忠 数学物理学报(英文版). 2013 (3):  773-780.  DOI: 10.1016/S0252-9602(13)60037-5 摘要 ( 364 )   RICH HTML PDF(154KB) ( 1141 )   收藏 Let f be a transcendental meromorphic function and Δf(z) = f(z + 1) − f(z). A number of results are proved concerning the existences of zeros and fixed points of Δf(z) and Δf(z)/f(z) when f(z) is of order σ(f)=1. Examples show that some of the results are sharp. 参考文献 | 相关文章 | 计量指标

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INCOMPRESSIBLE LIMIT OF A COMPRESSIBLE LIQUID CRYSTALS SYSTEM 郝乙行, 刘宪高 数学物理学报(英文版). 2013 (3):  781-796.  DOI: 10.1016/S0252-9602(13)60038-7 摘要 ( 260 )   RICH HTML PDF(226KB) ( 536 )   收藏 This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space RN and a bounded domain of RN with Dirichlet boundary conditions. Here we set the number of dimension N = 2 or 3. 参考文献 | 相关文章 | 计量指标

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ON THE mth ORDER DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED MEAN AND COMPACT OPERATORS Metin BASARIR, Emrah Evren KARA 数学物理学报(英文版). 2013 (3):  797-813.  DOI: 10.1016/S0252-9602(13)60039-9 摘要 ( 313 )   RICH HTML PDF(244KB) ( 1014 )   收藏 In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space ?(u, v, p; Δ(m)), which consist of the sequences whose generalized weighted Δ(m)-difference means are in the linear space ?(p) defined by I.J.Maddox. Also, we determine the basis of this space and compute its α-, β- and γ-duals. Further, we give the characterization of the classes of matrix mappings from ?(u, v, p,Δ(m)) to ?∞, c, and c0. Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space ?p(u, v, Δ(m)) (1≤p < 1). 参考文献 | 相关文章 | 计量指标

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THE GROWTH ORDER OF SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS 高凌云 数学物理学报(英文版). 2013 (3):  814-820.  DOI: 10.1016/S0252-9602(13)60040-5 摘要 ( 287 )   RICH HTML PDF(149KB) ( 637 )   收藏 Using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron theory of entire functions, we investigate the problem of growth order of solutions of a type of systems of difference equations, and extend some results of the growth order of solutions of systems of differential equations to systems of difference equat 参考文献 | 相关文章 | 计量指标

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SELF-SIMILAR SOLUTIONS AND BLOW-UP PHENOMENA FOR A TWO-COMPONENT SHALLOW WATER SYSTEM 周寿明, 穆春来, 王良展 数学物理学报(英文版). 2013 (3):  821-829.  DOI: 10.1016/S0252-9602(13)60041-7 摘要 ( 328 )   RICH HTML PDF(169KB) ( 873 )   收藏 In this article, we consider a two-component nonlinear shallow water system, which includes the famous 2-component Camassa-Holm and Degasperis-Procesi equations as special cases. The local well-posedess for this equations is established. Some sufficient conditions for blow-up of the solutions in finite time are given. Moreover, by separation method, the self-similar solutions for the nonlinear shallow water equations are obtained, and which local or global behavior can be determined by the corresponding Emden equation. 参考文献 | 相关文章 | 计量指标

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STABILITY OF CONSTANT MEAN CURVATURE HYPERSURFACES OF REVOLUTION IN HYPERBOLIC SPACE Mohamed JLELI 数学物理学报(英文版). 2013 (3):  830-838.  DOI: 10.1016/S0252-9602(13)60042-9 摘要 ( 251 )   RICH HTML PDF(162KB) ( 996 )   收藏 In this article, by solving a nonlinear differential equation, we prove the existence of a one parameter family of constant mean curvature hypersurfaces in the hyperbolic space with two ends. Then, we study the stability of these hypersurfaces. 参考文献 | 相关文章 | 计量指标

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EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON´S ELEMENT 赵纪坤, 陈绍春 数学物理学报(英文版). 2013 (3):  839-846.  DOI: 10.1016/S0252-9602(13)60043-0 摘要 ( 276 )   RICH HTML PDF(225KB) ( 822 )   收藏 In this article, we study the explicit expressions of the constants in the error estimate of the nonconforming finite element method. We explicitly obtain the approximation error estimate and the consistency error estimate for theWilson´s element without the regular assumption, respectively, which implies the final finite element error estimate. Such explicit a priori error estimates can be used as computable error bounds. 参考文献 | 相关文章 | 计量指标

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NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS 李楠, 王长有 数学物理学报(英文版). 2013 (3):  847-854.  DOI: 10.1016/S0252-9602(13)60044-2 摘要 ( 613 )   RICH HTML PDF(151KB) ( 1218 )   收藏 In this article, the existence and uniqueness of positive solution for a class of nonlinear fractional differential equations is proved by constructing the upper and lower control functions of the nonlinear term without any monotone requirement. Our main method to the problem is the method of upper and lower solutions and Schauder fixed point theorem. Finally, we give an example to illuminate our results. 参考文献 | 相关文章 | 计量指标

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PARAMETER IDENTIFICATION IN FRACTIONAL DIFFERENTIAL EQUATIONS 李景, 郭柏灵 数学物理学报(英文版). 2013 (3):  855-864.  DOI: 10.1016/S0252-9602(13)60045-4 摘要 ( 258 )   RICH HTML PDF(168KB) ( 1371 )   收藏 This article investigates the fractional derivative order identification, the coef-ficient identification, and the source identification in the fractional diffusion problems. If 1 < < 2, we prove the unique determination of the fractional derivative order and the dif-fusion coefficient p(x) by R t0 u(0, s)ds, 0 < t < T for one-dimensional fractional diffusion-wave equations. Besides, if 0 < < 1, we show the unique determination of the source term f(x, y) by U(0, 0, t), 0 < t < T for two-dimensional fractional diffusion equations. Here, denotes the fractional derivative order over t. 参考文献 | 相关文章 | 计量指标

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ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS 高真圣, 谭忠, 吴国春 数学物理学报(英文版). 2013 (3):  865-871.  DOI: 10.1016/S0252-9602(13)60046-6 摘要 ( 281 )   RICH HTML PDF(155KB) ( 1066 )   收藏 In this article, we mainly study the local equation of energy for weak solutions of 3D MHD equations. We define a dissipation term D(u,B) that stems from an eventual lack of smoothness in the solution, and then obtain a local equation of energy for weak solutions of 3D MHD equations. Finally, we consider the 2D case at the end of this article. 参考文献 | 相关文章 | 计量指标

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REGULARITY PROPERTY OF SOLUTION TO TWO-PARAMETER STOCHASTIC VOLTERRA EQUATION WITH NON-LIPSCHITZ COEFFICIENTS 姜国, 王湘君 数学物理学报(英文版). 2013 (3):  872-882.  DOI: 10.1016/S0252-9602(13)60047-8 摘要 ( 221 )   RICH HTML PDF(177KB) ( 844 )   收藏 This article proves the existence and uniqueness of solution to two-parameter stochastic Volterra equation with non-Lipschitz coefficients and driven by Brownian sheet, where the main tool is Bihari´s inequality in the plane. Moreover, we also discuss the time regularity property of the solution by Kolmogorov´s continuity criterion. 参考文献 | 相关文章 | 计量指标