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1. ALL MEROMORPHIC SOLUTIONS OF AN AUXILIARY ORDINARY DIFFERENTIAL EQUATION AND ITS APPLICATIONS 袁文俊, Weiling XIONG, Jianming LIN, Yonghong WU 数学物理学报(英文版)    2015, 35 (5): 1241-1250.   DOI: 10.1016/S0252-9602(15)30052-7 摘要 （76）      PDF （181KB）（1012）       收藏 In this paper, we first employ the complex method to deritive all meromorphic solutions of an auxiliary ordinary differential equation, and then find all meromorphic exact solutions of the modified ZK equation, modified KdV equation, nonlinear Klein-Gordon equation and modified BBM equation. Our work shows that there exist some classes of rational solutions wr,2(z) and simple periodic solutions ws,1(z) which are new and are not degenerated successively to by the elliptic function solutions. 参考文献 | 相关文章 | 多维度评价

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2. EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER 张淑琴 数学物理学报(英文版)    DOI: 10.1016/S0252-9602(06)60044-1

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3. PARAMETER ESTIMATION FOR A CLASS OF STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY SMALL STABLE NOISES FROM DISCRETE OBSERVATIONS 龙红卫 数学物理学报(英文版)    2010, 30 (3): 645-663.   DOI: 10.1016/S0252-9602(10)60067-7 摘要 （907）      PDF （217KB）（1392）       收藏 We study the least squares estimation of drift parameters for a class of stochastic differential equations driven by small α-stable noises, observed at n regularly spaced time points ti=i/n, i=1, …, n on [0,1]. Under some regularity conditions, we obtain the consistency and the rate of convergence of the least squares estimator(LSE) when a small dispersion parameter ε→0 and n → ∝simultaneously. The asymptotic distribution of the LSE in our setting is shown to be stable, which is completely different from the classical cases where asymptotic distributions are normal. 参考文献 | 相关文章 | 多维度评价

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4. GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS 袁洪君, 柳洪志, 乔节增, 李梵蓓 数学物理学报(英文版)    2012, 32 (4): 1467-1486.   DOI: 10.1016/S0252-9602(12)60116-7 摘要 （607）      PDF （208KB）（1213）       收藏 The aims of this paper are to discuss global existence and uniqueness of strong solution for a class of isentropic compressible navier-Stokes equations with non-Newtonian in one-dimensional bounded intervals. We prove two global existence results on strong solutions of isentropic compressible Navier-Stokes equations. The first result shows only the existence. And the second one shows the existence and uniqueness result based on the first result, but the uniqueness requires some compatibility condition. 参考文献 | 相关文章 | 多维度评价

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5. MATHEMATICAL ANALYSIS OF WEST NILE VIRUS MODEL WITH DISCRETE DELAYS Salisu M. GARBA, Mohammad A. SAFI 数学物理学报(英文版)    2013, 33 (5): 1439-1462.   DOI: 10.1016/S0252-9602(13)60095-8 摘要 （251）      PDF （467KB）（1360）       收藏 The paper presents the basic model for the transmission dynamics of West Nile virus (WNV). The model, which consists of seven mutually-exclusive compartments representing the birds and vector dynamics, has a locally-asymptotically stable disease-free equilibrium whenever the associated reproduction number (R0) is less than unity. As reveal in [3, 20], the analyses of the model show the existence of the phenomenon of backward bifurcation (where the stable disease-free equilibrium of the model co-exists with a stable endemic equilibrium when the reproduction number of the disease is less than unity). It is shown, that the backward bifurcation phenomenon can be removed by substituting the associated standard incidence function with a mass action incidence. Analysis of the reproduction number of the model shows that, the disease will persist, whenever R0 > 1, and increase in the length of incubation period can help reduce WNV burden in the community if a certain threshold quantities, denoted by Δb and Δv are  negative. On the other hand, increasing the length of the incubation period increases disease burden if Δb > 0 and Δv > 0. Furthermore, it is shown that adding time delay to the corresponding autonomous model with standard incidence (considered in [2]) does not alter the qualitative dynamics of the autonomous system (with respect to the elimination or persistence of the disease). 参考文献 | 相关文章 | 多维度评价

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6. RAZUMIKHIN-TYPE THEOREMS OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS 周少波;胡适耕 数学物理学报(英文版)    DOI: 10.1016/S0252-9602(09)60019-9

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7. EXACT TRAVELING WAVE SOLUTIONS OF MODIFIED ZAKHAROV EQUATIONS FOR PLASMAS WITH A QUANTUM CORRECTION 房少梅, 郭昌洪, 郭柏灵 数学物理学报(英文版)    2012, 32 (3): 1073-1082.   DOI: 10.1016/S0252-9602(12)60080-0 摘要 （616）      PDF （178KB）（1360）       收藏 In this article, the authors study the exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction by hyperbolic tangent function expansion method, hyperbolic secant expansion method, and Jacobi elliptic function ex-pansion method. They obtain more exact traveling wave solutions including trigonometric function solutions, rational function solutions, and more generally solitary waves, which are called classical bright soliton, W-shaped soliton, and M-shaped soliton. 参考文献 | 相关文章 | 多维度评价

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8. THE INTERIOR LAYER PHENOMENA FOR A CLASS OF SINGULARLY PERTURBED DELAY-DIFFERENTIAL EQUATIONS 汪娜, 倪明康 数学物理学报(英文版)    2013, 33 (2): 532-542.   DOI: 10.1016/S0252-9602(13)60017-X 摘要 （611）      PDF （172KB）（1050）       收藏 In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved. 参考文献 | 相关文章 | 多维度评价

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9. IMPROVED GAGLIARDO-NIRENBERG INEQUALITIES ON HEISENBERG TYPE GROUPS 罗光洲 数学物理学报(英文版)    2011, 31 (4): 1583-1590.   DOI: 10.1016/S0252-9602(11)60344-5 摘要 （580）      PDF （164KB）（1422）       收藏 Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we prove an analogous result for Kohn’s sub-Laplacian on the Heisenberg type groups. The main result includes features of an inequality of either Sobolev or Galiardo-Nirenberg type. 参考文献 | 相关文章 | 多维度评价

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10. MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT 李工宝, 张国 数学物理学报(英文版)    2009, 29 (4): 903-918.   DOI: 10.1016/S0252-9602(09)60077-1 摘要 （1027）      PDF （222KB）（2387）       收藏 In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p&q-Laplacian type involving the critical Sobolev exponent: −△pu − △qu = |u|p*−2u + μ|u|r−2u in Ω, u|∂Ω= 0, where Ω ⊂ RN is a bounded domain, N > p, p* = Np /N−p is the critical Sobolev exponent and μ > 0. We prove that if 1 < r < q < p < N, then there is a μ0 > 0, such that for any μ ∈ (0, μ0), the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result in [8] for p-Laplacian type problem. 参考文献 | 相关文章 | 多维度评价

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11. INTERIOR ESTIMATES IN MORREY SPACES FOR SOLUTIONS OF ELLIPTIC EQUATIONS AND WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS 刘岚喆 数学物理学报(英文版)    2005, 25 (1): 89-94.   摘要 （812）      PDF （117KB）（2292）       收藏 It is proved that, for the nondivergence elliptic equations $\sum_{i,j=1}^n$  $a_{ij}u_{x_ix_j}=f$,  if $f$ belongs to the generalized Morrey spaces $L^{p,\varphi}(\omega)$, then $u_{x_ix_j}\in L^{p, \varphi}(\omega)$, where $u$ is the $W^{2,p}$-solution of the equations.  In order to obtain this, the author first establish the weighted boundedness for the commutators of some singular integral operators on $L^{p,\varphi}(\omega)$. \noindent\ke{\bf Key words}{\rm  Nondivergence elliptic equation, generalized Morrey space, commutator of singular integral operator, $A_p$ weight} 参考文献 | 相关文章 | 多维度评价

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12. CONVERGENCE RATE OF AN APPROXIMATION TO MULTIPLE INTEGRAL OF FBM 胡耀忠, 汪宝彬 数学物理学报(英文版)    2010, 30 (3): 975-992.   DOI: 10.1016/S0252-9602(10)60095-1 摘要 （864）      PDF （202KB）（1388）       收藏 In this article, we study the rate of convergence of the polygonal approximation to multiple stochastic integral Sp(f) of fractional Brownian motion of Hurst parameter H<1/2 when the fractional Brownian motion is replaced by its polygonal approximation. Under different conditions on f and for different p, we obtain different rates. 参考文献 | 相关文章 | 多维度评价

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13. TIME ASYMPTOTIC BEHAVIOR OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM Hai-Liang Li, Tong Yang, Chen Zou 数学物理学报(英文版)    2009, 29 (6): 1721-1736.   DOI: 10.1016/S0252-9602(10)60013-6 摘要 （932）      PDF （214KB）（1609）       收藏 The bipolar Navier-Stokes-Poisson system (BNSP) has been used to simulate the transport of charged particles (ions and electrons for instance) under the influence of electrostatic force governed by the self-consistent Poisson equation. The optimal L2 time convergence rate for the global classical solution is obtained for a small initial perturbation of the constant equilibrium state. It is shown that due to the electric field, the difference of the charge densities tend to the equilibrium states at the optimal rate (1+t )-3/4 in L2-norm, while the individual momentum of the charged particles converges at the optimal rate (1+t )-1/4 which is slower than the rate (1+t )-3/4 for the compressible Navier-Stokes equations (NS). In addition, a new phenomenon on the charge transport is observed regarding the interplay between the two carriers that almost counteracts the influence of the electric field so that  the total density and  momentum of the two carriers converges at a faster rate (1+t )-3/4+ε for any small constant ε > 0. The above estimates reveal the essential difference between the unipolar and the bipolar Navier-Stokes-Poisson systems. 参考文献 | 相关文章 | 多维度评价

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14. GLOBAL EXISTENCE AND CONVERGENCE RATES OF SMOOTH SOLUTIONS FOR THE 3-D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITHOUT HEAT CONDUCTIVITY 高真圣, 谭忠, 吴国春 数学物理学报(英文版)    2014, 34 (1): 93-106.   DOI: 10.1016/S0252-9602(13)60129-0 摘要 （200）      PDF （195KB）（1251）       收藏 In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations without heat conductivity, which is a hyperbolic-parabolic system. The global solutions are obtained by combining the local existence and a priori estimates if H3-norm of the initial perturbation around a constant states is small enough and its L1-norm is bounded. A priori decay-in-time estimates on the pressure, velocity and magnetic field are used to get the uniform bound of entropy. Moreover, the optimal convergence rates are also obtained. 参考文献 | 相关文章 | 多维度评价

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15. ON SOME RESULTS OF YI AND THEIR APPLICATIONS IN THE FUNCTIONAL EQUATIONS 杨连中, 张继龙 数学物理学报(英文版)    2010, 30 (5): 1649-1660.   DOI: 10.1016/S0252-9602(10)60158-0 摘要 （880）      PDF （171KB）（1351）       收藏 In this article, we  establish some uniqueness theorems  that improves some results of H. X. Yi for a family of meromorphic functions, and as applications, we give some results about the non-existence of meromorphic solutions of Fermat type functional equations. 参考文献 | 相关文章 | 多维度评价

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16. ON CLASSES OF REGULAR GRAPHS WITH CONSTANT METRIC DIMENSION Muhammad IMRAN, Syed Ahtsham ul Haq BOKHARY, Ali AHMAD, Andrea SEMANICOVá-FE?OVCíKOVá 数学物理学报(英文版)    2013, 33 (1): 187-206.   DOI: 10.1016/S0252-9602(12)60204-5 摘要 （453）      PDF （234KB）（2007）       收藏 In this paper, we are dealing with the study of the metric dimension of some classes of regular graphs by considering a class of bridgeless cubic graphs called the flower snarks Jn, a class of cubic convex polytopes considering the open problem raised in [M. Imran et al., families of plane graphs with constant metric dimension, Utilitas Math., in press] and finally Harary graphs H5,n by partially answering to an open problem proposed in [I. Javaid et al., Families of regular graphs with constant metric dimension, Utilitas Math., 2012, 88: 43–57]. We prove that these classes of regular graphs have constant metric dimension. 参考文献 | 相关文章 | 多维度评价

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17. INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES A. Azizi 数学物理学报(英文版)    2005, 25 (3): 385-394.   摘要 （815）      PDF （178KB）（3793）       收藏 The aim of this paper is to study the conditions by which a P-prime sub- module can be expressed as a ¯nite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equivalent conditions for a ring to be a Dedekind domain are given. 参考文献 | 相关文章 | 多维度评价

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18. 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, 36 (6): 1631-1640.   DOI: 10.1016/S0252-9602(16)30095-9 摘要 （100）      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 | 多维度评价

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19. SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m Harun Polat; Feyzi Basar 数学物理学报(英文版)    DOI: 10.1016/S0252-9602(07)60024-1

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20. GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM 曹文涛, 黄飞敏, 李天虹, 于慧敏 数学物理学报(英文版)    2016, 36 (4): 1215-1224.   DOI: 10.1016/S0252-9602(16)30063-7 摘要 （107）      PDF       收藏 In this article, we develop a new technique to prove the global existene of entropy solutions to an inhomogeneous isentropic compressible Euler equations through the compensated compactness and vanishing viscosity method. In particular, the entropy solutions are uniformly bounded independent of time. 参考文献 | 相关文章 | 多维度评价