数学物理学报(英文版)

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1. A RECOGNITION OF SIMPLE GROUPS PSL(3, q) BY THEIR ELEMENT ORDERS

M. R. Darafsheh;A. R. Moghaddamfar A.R. Zokay

数学物理学报(英文版) 2004, 24 (1): 45-51.

摘要（628）

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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.

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2. A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

莫嘉琪

数学物理学报(英文版) 2003, 23 (3): 377-.

摘要（695）

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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.

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3. RECURSIVE FORMULA FOR CALCULATING THE
CHROMATIC POLYNOMIAL OF A GRAPH BY
VERTEX DELETION

许进

数学物理学报(英文版) 2004, 24 (4): 577-582.

摘要（656）

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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.

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4. ONE LINEAR ANALYTIC APPROXIMATION FOR STOCHASTIC INTEGRODIFFERENTIAL EQUATIONS

Svetlana Jankovic, Dejan Ilic

数学物理学报(英文版) 2010, 30 (4): 1073-1085. DOI: 10.1016/S0252-9602(10)60104-X

摘要（809）

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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 L_p-th norm, uniformly on the time interval. The convergence with probability one is also given.

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5. THE NONLINEAR STABILITY OF TRAVELLING WAVE SOLUTIONS FOR A REACTING FLOW MODEL WITH SOURCE TERM

潘荣华

数学物理学报(英文版) 1999, 19 (1): 26-36.

摘要（734）

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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

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6. EIGENFUNCTION EXPANSION FOR STURM-LIOUVILLE PROBLEMS WITH TRANSMISSION CONDITIONS AT ONE INTERIOR POINT

Oktay Sh. MUKHTAROV, Kadriye AYDEMIR

数学物理学报(英文版) 2015, 35 (3): 639-649. DOI: 10.1016/S0252-9602(15)30010-2

摘要（157）

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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].

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7. CONSISTENCY OF LS ESTIMATOR IN SIMPLE
LINEAR EV REGRESSION MODELS

刘继学, 陈希儒

数学物理学报(英文版) 2005, 25 (1): 50-58.

摘要（597）

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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.

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8. ZEROS OF BRAUER CHARACTERS

王慧群, 陈晓友, 曾吉文

数学物理学报(英文版) 2012, 32 (4): 1435-1440. DOI: 10.1016/S0252-9602(12)60112-X

摘要（462）

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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'′O^p' (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.

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9. A DUAL-RELAX PENALTY FUNCTION APPROACH FOR SOLVING NONLINEAR BILEVEL PROGRAMMING WITH LINEAR LOWER LEVEL PROBLEM

万仲平, 王广民, 吕一兵

数学物理学报(英文版) 2011, 31 (2): 652-660. DOI: 10.1016/S0252-9602(11)60265-8

摘要（573）

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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.

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10. NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE

姜云波, 高宗升

数学物理学报(英文版) 2012, 32 (4): 1503-1512. DOI: 10.1016/S0252-9602(12)60119-2

摘要（519）

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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.

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11. L² DECAY OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DAMPING

蔡晓静, 雷利华

数学物理学报(英文版) 2010, 30 (4): 1235-1248. DOI: 10.1016/S0252-9602(10)60120-8

摘要（913）

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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).

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12. EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY

Syed ABBAS, 夏永辉

数学物理学报(英文版) 2013, 33 (1): 290-302. DOI: 10.1016/S0252-9602(12)60211-2

摘要（559）

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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.

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13. MULTISCALE ISSUES IN DNS OF MULTIPHASE FLOWS

G. Tryggvason, S. Thomas, J. Lu, B. Aboulhasanzadeh

数学物理学报(英文版) 2010, 30 (2): 551-562. DOI: 10.1016/S0252-9602(10)60062-8

摘要（867）

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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.

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14. ON COMPACTNESS FOR ITERATED COMMUTATORS

刘永民, 于燕燕

数学物理学报(英文版) 2011, 31 (2): 491-500. DOI: 10.1016/S0252-9602(11)60250-6

摘要（759）

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The authors study the iterated commutators on the weighted Bergman spaces A²(Φ), and prove that C^n/h is compact on A²(Φ) if and only if h ∈B₀.

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15. METRIC ENTROPY OF HOMEOMORPHISM ON |NON-COMPACT METRIC SPACE

周云华

数学物理学报(英文版) 2011, 31 (1): 102-108. DOI: 10.1016/S0252-9602(11)60212-9

摘要（673）

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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 h_d(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.

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16. AN EXTENSION OF THE HARDY-LITTLEWOOD-PÓLYA INEQUALITY

Congming Li, John Villavert

数学物理学报(英文版) 2011, 31 (6): 2285-2288. DOI: 10.1016/S0252-9602(11)60400-1

摘要（457）

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17. ON SELF-DUAL PERMUTATION CODES

樊恽; 袁媛

数学物理学报(英文版) DOI: 10.1016/S0252-9602(08)60065-X

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18. GROWTH OF RANDOM DIRICHLET SERIES (I)

田范基

数学物理学报(英文版) 2000, 20 (3): 390-396.

摘要（759）

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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.

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19. QUENCHING ON BOUNDARY TO THE NEWTON FILTRATION EQUATION

段志文, 谢春红, 卢伟明

数学物理学报(英文版) 2003, 23 (3): 361-.

摘要（688）

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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.

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20. POINTWISE ESTIMATES OF SOLUTION FOR NON-ISENTROPIC NAVIER-STOKES-POISSON EQUATIONS IN MULTI-DIMENSIONS

吴志刚, 王维克

数学物理学报(英文版) 2012, 32 (5): 1681-1702. DOI: 10.1016/S0252-9602(12)60134-9

摘要（583）

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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 L^p(Rⁿ) (p > n/n−1 )-norm.

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