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A RECOGNITION OF SIMPLE GROUPS PSL(3, q) BY THEIR ELEMENT ORDERS M. R. Darafsheh;A. R. Moghaddamfar A.R. Zokay Acta mathematica scientia,Series B    2004, 24 (1): 45-51.   Abstract （628）      PDF（pc） （127KB）（2951）       Save For any group G, denote by e(G) the set of orders of elements in G. Given a finite group G, let h(e(G)) be the number of isomorphism classes of finite groups with the same set e(G) of element orders. A group G is called k-recognizable if h(e(G)) = k < 1, otherwise G is called non-recognizable. Also a 1-recognizable group is called a recognizable (or characterizable) group. In this paper the authors show that the simple groups PSL(3, q), where 3 < q  ±2 (mod 5) and (6, (q − 1)/2) = 1, are recognizable. Reference | Related Articles | Metrics

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A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS MO Jia-Qi Acta mathematica scientia,Series B    2003, 23 (3): 377-.   Abstract （695）      PDF（pc） （110KB）（1892）       Save A class of nonlinear singularly perturbed problems for reaction diffusion equa- tions are considered. Under suitable conditions, by using the theory of differential inequal- ities, the asymptotic behavior of solutions for the initial boundary value problems are studied, reduced problems of which possess two intersecting solutions. Reference | Related Articles | Metrics

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RECURSIVE FORMULA FOR CALCULATING THE CHROMATIC POLYNOMIAL OF A GRAPH BY VERTEX DELETION HU Jin Acta mathematica scientia,Series B    2004, 24 (4): 577-582.   Abstract （656）      PDF（pc） （116KB）（3068）       Save new recursive vertex-deleting formula for the computation of the chromatic polynomial of a graph is obtained in this paper. This algorithm is not only a good tool for further studying chromatic polynomials but also the fastest among all the algorithms for the computation of chromatic polynomials. Reference | Related Articles | Metrics

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ONE LINEAR ANALYTIC APPROXIMATION FOR STOCHASTIC INTEGRODIFFERENTIAL EQUATIONS Svetlana Jankovic, Dejan Ilic Acta mathematica scientia,Series B    2010, 30 (4): 1073-1085.   DOI: 10.1016/S0252-9602(10)60104-X Abstract （809）      PDF（pc） （190KB）（2023）       Save This article concerns the construction of approximate solutions for a general stochastic integrodifferential equation which is not explicitly solvable and whose coefficients functionally depend on Lebesgue integrals and stochastic integrals with respect to martingales. The approximate equations are linear ordinary stochastic differential equations, the solutions of which are defined on sub-intervals of an arbitrary partition of the time interval and connected at successive division points. The closeness of the initial and approximate solutions is measured in the Lp-th norm, uniformly on the time interval. The convergence with probability one is also given. Reference | Related Articles | Metrics

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THE NONLINEAR STABILITY OF TRAVELLING WAVE SOLUTIONS FOR A REACTING FLOW MODEL WITH SOURCE TERM BO Rong-Hua Acta mathematica scientia,Series B    1999, 19 (1): 26-36.   Abstract （734）      PDF（pc） （134KB）（1702）       Save In this paper, author considers a 3 × 3 system for a reacting flow model propesed by [9]. Since this model has source term, it can be considered as a relaxation approximation to 2×2 systemsof conservation laws, which include the well-known p-system. From this viewpoint, the author establishes the global existence and the nonlinear stability of travelling wave solutions by L2 energy method Reference | Related Articles | Metrics

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EIGENFUNCTION EXPANSION FOR STURM-LIOUVILLE PROBLEMS WITH TRANSMISSION CONDITIONS AT ONE INTERIOR POINT Oktay Sh. MUKHTAROV, Kadriye AYDEMIR Acta mathematica scientia,Series B    2015, 35 (3): 639-649.   DOI: 10.1016/S0252-9602(15)30010-2 Abstract （157）      PDF（pc） （166KB）（1251）       Save The purpose of this article is to extend some spectral properties of regular Sturm-Liouville problems to the special type discontinuous boundary-value problem, which consists of a Sturm-Liouville equation together with eigenparameter-dependent boundary conditions and two supplementary transmission conditions. We construct the resolvent operator and Green's function and prove theorems about expansions in terms of eigenfunctions in modified Hilbert space L2[a, b]. Reference | Related Articles | Metrics

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CONSISTENCY OF LS ESTIMATOR IN SIMPLE LINEAR EV REGRESSION MODELS LIU Ji-Hua, CHEN Xi-Ru Acta mathematica scientia,Series B    2005, 25 (1): 50-58.   Abstract （597）      PDF（pc） （127KB）（1722）       Save Consistency of LS estimate of simple linear EV model is studied. It is shown that under some common assumptions of the model, both weak and strong consistency of the estimate are equivalent but it is not so for quadratic-mean consistency. Reference | Related Articles | Metrics

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ZEROS OF BRAUER CHARACTERS WANG Hui-Qun, CHEN Xiao-You, ZENG Ji-Wen Acta mathematica scientia,Series B    2012, 32 (4): 1435-1440.   DOI: 10.1016/S0252-9602(12)60112-X Abstract （462）      PDF（pc） （147KB）（1434）       Save The authors obtain a sufficient condition to determine whether an element is a vanishing regular element of some Brauer character. More precisely, let G be a finite group and p be a fixed prime, and H = G'′Op' (G); if g ∈ G0− H0 with o(gH) coprime to the number of irreducible p-Brauer characters of G, then there always exists a nonlinear irreducible p-Brauer character which vanishes on g. The authors also show in this note that the sums of certain irreducible p-Brauer characters take the value zero on every element of G0− H0. Reference | Related Articles | Metrics

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A DUAL-RELAX PENALTY FUNCTION APPROACH FOR SOLVING NONLINEAR BILEVEL PROGRAMMING WITH LINEAR LOWER LEVEL PROBLEM WAN Zhong-Ping, WANG Guang-Min, LV Yi-Bing Acta mathematica scientia,Series B    2011, 31 (2): 652-660.   DOI: 10.1016/S0252-9602(11)60265-8 Abstract （573）      PDF（pc） （153KB）（1890）       Save The penalty function method, presented many years ago, is an important numerical method for the mathematical programming  problems. In this article, we propose a dual-relax penalty function approach, which is significantly different from penalty function approach existing for solving the bilevel programming, to solve the nonlinear bilevel programming with linear lower level problem. Our algorithm will redound to the error analysis for computing an approximate solution to the bilevel programming. The error estimate is obtained among the optimal objective function value of the dual-relax penalty problem and of the original bilevel programming problem. An example is illustrated to show the feasibility of the proposed approach. Reference | Related Articles | Metrics

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NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE JIANG Yun-Bo, GAO Zong-Sheng Acta mathematica scientia,Series B    2012, 32 (4): 1503-1512.   DOI: 10.1016/S0252-9602(12)60119-2 Abstract （519）      PDF（pc） （181KB）（1532）       Save In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex- ample to the converse of the Bloch principle based on the theorems. Reference | Related Articles | Metrics

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L2 DECAY OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DAMPING CAI Xiao-Jing, LEI Li-Hua Acta mathematica scientia,Series B    2010, 30 (4): 1235-1248.   DOI: 10.1016/S0252-9602(10)60120-8 Abstract （913）      PDF（pc） （194KB）（2076）       Save In this article, we show large time behavior of weak solutions to the Cauchy problem of the Navier-Stokes equations  with damping α|u|β-1u (α>0). Reference | Related Articles | Metrics

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EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY Syed ABBAS, XIA Yong-Hui Acta mathematica scientia,Series B    2013, 33 (1): 290-302.   DOI: 10.1016/S0252-9602(12)60211-2 Abstract （557）      PDF（pc） （181KB）（1497）       Save In this paper we discuss the existence and global attractivity of k-almost au-tomorphic sequence solution of a model of cellular neural networks. We consider the cor-responding difference equation analogue of the model system using suitable discretization method and obtain certain conditions for the existence of solution. Almost automorphic function is a good generalization of almost periodic function. This is the first paper con-sidering such solutions of the neural networks. Reference | Related Articles | Metrics

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MULTISCALE ISSUES IN DNS OF MULTIPHASE FLOWS G. Tryggvason, S. Thomas, J. Lu, B. Aboulhasanzadeh Acta mathematica scientia,Series B    2010, 30 (2): 551-562.   DOI: 10.1016/S0252-9602(10)60062-8 Abstract （867）      PDF（pc） （331KB）（2210）       Save Direct numerical simulations (DNS) have now become a well established tool to examine complex multiphase flows. Such flows typically exhibit a large range of scales and it is generally necessary to use different descriptions of the flow depending on the scale that we are examining. Here we discuss multiphase flows from a multiscale perspective. Those include both how DNS are providing insight and understanding for modeling of scales much larger than the “dominant scale”(defined where surface tension, viscous forces or inertia are important), as well as how DNS are often limited by the need to resolve processes taking place on much smaller scales. Both problems can be cast into a language introduced for general classes of multiscale problems and reveal that while the classification may be new, the issues are not. Reference | Related Articles | Metrics

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ON COMPACTNESS FOR ITERATED COMMUTATORS LIU Yong-Min, YU Yan-Yan Acta mathematica scientia,Series B    2011, 31 (2): 491-500.   DOI: 10.1016/S0252-9602(11)60250-6 Abstract （759）      PDF（pc） （180KB）（1463）       Save The authors study  the iterated commutators on the weighted Bergman spaces A2(Φ), and  prove that Cn/h is compact on A2(Φ) if and only if  h ∈B0. Reference | Related Articles | Metrics

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METRIC ENTROPY OF HOMEOMORPHISM ON |NON-COMPACT METRIC SPACE ZHOU Yun-Hua Acta mathematica scientia,Series B    2011, 31 (1): 102-108.   DOI: 10.1016/S0252-9602(11)60212-9 Abstract （673）      PDF（pc） （151KB）（1854）       Save Let T: X → X be a uniformly continuous homeomorphism on a non-compact metric space (X, d). Denote by X*=X ∪{x*} the one point compactification of X and T*: X*→X* the homeomorphism on X* satisfying T*|X=T and T*x*=x*. We show that their topological entropies satisfy hd(T, X)≥h(T*, X*) if X is locally compact. We also give a note on Katok's measure theoretic entropy on a compact metric space. Reference | Related Articles | Metrics

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AN EXTENSION OF THE HARDY-LITTLEWOOD-PÓLYA INEQUALITY Congming Li, John Villavert Acta mathematica scientia,Series B    2011, 31 (6): 2285-2288.   DOI: 10.1016/S0252-9602(11)60400-1 Abstract （457）      PDF（pc） （127KB）（1532）       Save Reference | Related Articles | Metrics

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ON SELF-DUAL PERMUTATION CODES Fan Yun; Yuan Yuan Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(08)60065-X

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GROWTH OF RANDOM DIRICHLET SERIES (I) TIAN Fan-Ji Acta mathematica scientia,Series B    2000, 20 (3): 390-396.   Abstract （759）      PDF（pc） （107KB）（1517）       Save Under the conditions(without independence): (i) 9 > 0, such that sup n1 E|Zn| < +1, (ii) 9 > 0, such that sup n1 E|Zn|− < +1, the random series 1P n=1 anZne−ns and series 1P n=1 ane−ns a.s. have the same abscissa of convergence, the (R) order, lower order and type. Reference | Related Articles | Metrics

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QUENCHING ON BOUNDARY TO THE NEWTON FILTRATION EQUATION DUAN Zhi-Wen, XIE Chun-Gong, LEI Wei-Meng Acta mathematica scientia,Series B    2003, 23 (3): 361-.   Abstract （688）      PDF（pc） （116KB）（1420）       Save In this paper discuss authors the global existence and quenching of the solution to the Newton filtration equation with the nonlinear boundary condition. They also discuss the profile of the quenching solution in the quenching time and obtain the quenching rate of the quenching solution. Reference | Related Articles | Metrics

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POINTWISE ESTIMATES OF SOLUTION FOR NON-ISENTROPIC NAVIER-STOKES-POISSON EQUATIONS IN MULTI-DIMENSIONS WU Zhi-Gang, WANG Wei-Ke Acta mathematica scientia,Series B    2012, 32 (5): 1681-1702.   DOI: 10.1016/S0252-9602(12)60134-9 Abstract （583）      PDF（pc） （259KB）（1518）       Save The Cauchy problem of the non-isentropic Navier-Stokes-Poisson equations in multi-dimensions is considered. The global existence and pointwise estimates of the classical solution are given, which extend the optimal decay rate in L2-norm in [27] to the Lp(Rn) (p > n/n−1 )-norm. Reference | Related Articles | Metrics