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THE SECOND EXPONENT SET OF PRIMITIVE DIGRAPHS

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Chinese Annals of mathematics,Series B 2000年第2期21卷 233-236页

作者： MIAO ZHENGKE(department of mathematics, Nanjing University, Nanjing 210093, china.)(department of mathematics, Xuzhou Normal University, Xuzhou 221009, china.) ZHANG KEMIN(department of mathematics, Nanjing University, Nanjing 210093, china.) department of mathematics Nanjing University Nanjing 210093 China department of mathematics Xuzhou Normal University Xuzhou 221009 China

Let D = (V, E) be a primitive digraph. The exponent of D, denoted byγ(D), is the least integer k such that for any u, v∈ V there is a directed walk of length k from u to v. The local exponent of D at a vertex u∈ V, denoted by exp_D (u), is the least integer k such that there is a directed walk of length k from u to v for each v ε V. Let V = {1,2,….,n}. Following [1], the vertices of V are ordered so that exp_D (1) ≤exp_D (2) ≤…≤exp_D(n) =λ(D). Let E_n(i):= {exp_D (i) ∈D PD_n}, where PD_n is the set of all primitive digraphs of order n. It is known that E_n(n) = {γ(D) D∈PD_n} has been completely settled by [7]. In 1998, E_n(1) was characterized by [5]. In this paper, the authors describe E_n(2) for all n≥2.

关键词： Primitive digraph Local exponent Gap

SOME RESULTS ON INFINITE DIMENSIONAL NOVIKOV ALGEBRAS

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Chinese Annals of mathematics,Series B 2003年第3期24卷 309-314页

作者： ZHAO YUFENG MENG DAOJI department of mathematics, Nankai University, Tianjin 300071, china. department of mathematics, Nankai University, Tianjin 300071, china. Nankai Univ Dept Math Tianjin 300071 Peoples R China

This paper gives some sufficient conditions for determining the simplicity of infinite di-mensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikovalgebras by extending the base fie... 详细信息

关键词： Novikov algebra Novikov-Poisson Algebra Algebraic deformation

Extremal problems on the generalized Hua domain of the first type

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Progress in Natural Science:Materials International 2006年第4期16卷 352-358页

作者： SU Jianbing and YIN Weiping department of mathematics, Xuzhou Normal University, Xuzhou 221116,.china department of mathematics, Capital Normal University, Beijing 100037, china [a]department of mathematics Xuzhou Normal University Xuzhou China [b]department of mathematics Capital Normal University Beijing China

Some extremal problems between the generalized Hua domain of the first type and the unit ball are studied. The extremal mapping and extremal value in explicit formulas are also obtained.

关键词： extremal problem generalized Hua domain of the first type minimal circumscribed Hermitian ellipsoid.

ON MULTIPLE POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM IN R^N

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Chinese Annals of mathematics,Series B 2000年第3期21卷 351-358页

作者： YANG HAITAO(department of mathematics, Zhejiang University, HangZhou 310027, china.) WU SHAOPING(department of mathematics, Zhejiang University, HangZhou 310027, china.) department of mathematics Zhejiang University Hangzhou 310027 China

By making use of Variational method, the authors obtain some results about existence of multiple positive solutions and their asymptotic behavior as the parameter →＋∞ for a semilinear elliptic problem in RN.

关键词： Critical point Asymptotic behavior Concentration

STEADY-STATE SOLUTIONS FOR A ONE-DIMENSIONAL NONISENTROPIC HYDRODYNAMIC MODEL WITH NON-CONSTANT LATTICE TEMPERATURE

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Acta Mathematica Scientia 2008年第3期28卷 479-488页

作者：黎野平 department of mathematics Xianning College

A one-dimensional stationary nonisentropic hydrodynamic model for semiconductor devices with non-constant lattice temperature is studied. This model consists of the equations for the electron density, the electron current density and electron temperature, coupled with the Poisson equation of the electrostatic potential in a bounded interval supplemented with proper boundary conditions. The existence and uniqueness of a strong subsonic steady-state solution with positive particle density and positive temperature is established. The proof is based on the fixed-point arguments, the Stampacchia truncation methods, and the basic energy estimates.

关键词： Steady-state nonisentropic hydrodynamic model semiconductor subsonic

SOME FUNCTIONAL LIMIT THEOREMS FOR THE INFINITE SERIES OF OU PROCESSES

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Chinese Annals of mathematics,Series B 2003年第2期24卷 249-260页

作者： WANG WENSHENG LIN ZHENGYAN department of mathematics, Zhejiang University, Hangzhou 310028, china. department of mathematics, Hangzhou Teacher’s College, Hangzhou 310012, china. E-mail: wswang@*** department of mathematics, Zhejiang University, Hangzhou 310028, china. Zhejiang Univ Dept Math Hangzhou 310028 Peoples R China Hangzhou Teachers Coll Dept Math Hangzhou 310012 Peoples R China

This paper obtains functional modulus of continuity and Strassen's functional LIL of theinfinite series of independent Ornstein-Uhlenbeck processes, which also imply the Levy's exactmodulus of continuity and LIL of th... 详细信息

关键词： Ornstein-Uhlenbeck processes Stationary Gaussian processes Modulus of continuity Law of the iterated logarithm

A RANDOM FUNCTIONAL CENTRAL LIMIT THEOREM FOR PROCESSES OF PRODUCT SUMS OF LINEAR PROCESSES GENERATED BY MARTINGALE DIFFERENCES

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Chinese Annals of mathematics,Series B 2003年第4期24卷 449-456页

作者： WANG YUEBAO YANG YANG ZHOU HAIYANG department of mathematics, Suzhou University, Suzhou 215006, Jiangsu, china. department of mathematics, Suzhou University, Suzhou 215006, Jiangsu, china. Suzhou Univ Dept Math Suzhou 215006 Peoples R China

A random functional central limit theorem is obtained for processes of partial sums andproduct sums of linear processes generated by non-stationary martingale differences. It devel-ops and improves some corresponding results on processes of partial sums of linear processesgenerated by strictly stationary martingale differences, which can be found in [5].

关键词： Ilandom functional central limit theorem Processes of product sums

The Geometric Structure of Strange Attractors in the Lozi Map

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Communications in Nonlinear Science and Numerical Simulation 1998年第2期3卷 67-71页

作者： Yongluo CAO and Zengrong LIU* (department of mathematics, Suzhou University,Suzhou 215006, china) *(department of mathematics, Shanghai University,Shanghai 200072, china) (E mail: ***) department of mathematics Suzhou University Suzhou 215006 China department of mathematics Shanghai University Shanghai 200072 China

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｅｐａｓｔｔｗｏｄｅｃａｄｅｓ，ｔｈｅｓｔｒａｎｇｅａｔｒａｃｔｏｒｓｉｎｔｈｅｆｉｅｌｄｏｆｎｏｎｌｉｎｅａｒｓｃｉｅｎｃｅｄｒａｗｓｔｈｅａｔｅｎｔｉｏｎｏｆｍａｎｙｓｃｉｅｎｔｉ... 详细信息

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｅｐａｓｔｔｗｏｄｅｃａｄｅｓ，ｔｈｅｓｔｒａｎｇｅａｔｒａｃｔｏｒｓｉｎｔｈｅｆｉｅｌｄｏｆｎｏｎｌｉｎｅａｒｓｃｉｅｎｃｅｄｒａｗｓｔｈｅａｔｅｎｔｉｏｎｏｆｍａｎｙｓｃｉｅｎｔｉｓｔｓ．Ｉｎｐａｒｔｉｃｕｌａｒ，...

关键词： strange attractor transversal homoclinic point weak transversal homoclinic point

THE (ｕ＋κ)-ORBIT OF ESSENTIALLY NORMAL OPERATORS AND COMPACT PERTURBATIONS OF STRONGLY IRREDUCIBLE OPERATORS

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Chinese Annals of mathematics,Series B 2000年第2期21卷 237-248页

作者： JIYOUQING JIANGCHUNLAN WANGZONGYAO departmentofmathematics JilinUniversityChangchun130023China. departmentofmathematics JilinUniversityChangchun130023China. departmentofmathematics EastChinaUniversityofScienceandTechnologyShanghai200237＂China.

Let н be a complex, separable, infinite dimensional Hilbert space, T　ε（Ｈ）. （ｕ＋Ｋ）（T） denotes the （ｕ＋ｋ）-orbit of T, i.e., （ｕ＋ｋ）（T） = {R-1TR: R is invertible and of the form unitary plus compact}. Let be an analytic and simply connected Cauchy domain in C and n ε N. A（, n） denotes the class of operators, each of which satisfies （i） T is essentially normal; （ii） σ（T） =,　ρF（T）　∩ σ（T） = ; （iii） ind （λ-T） = -n, nul （λ-T） = 0 （λ∈Ω ）. It is proved that given T1, T2 ε A（, n） and ε > 0, there exists a compact operator K with K <ε such that T1 +Kε （ｕ＋ｋ）（T2）. This result generalizes a result of P. S. Guinand and L. Marcoux [6,15]. Furthermore, the authors give a character of the norm closure of （ｕ＋Ｋ）（T）, and prove that for each T ε A（, n）, there exists a compact （SI） perturbation of T whose norm can be arbitrarily small.

关键词： Essentially normal (u+k)-orbit Compact perturbation Spectrum Strongly irreducible operator