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On a problem of Skiba from the Kourovka Notebook

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Science china mathematics 2004年第1期47卷 96-103页

作者： WANG Yanming & WEI HuaquanLingnan college and School of mathematics, Zhongshan University, Guangzhou 510275, china School of mathematics, Zhongshan University, Guangzhou 510275, china department of mathematics, guangxi teacher’s college, Nanning 530001, china 1. Lingnan college and School of mathematics Zhongshan University 510275 Guangzhou China 2. School of mathematics Zhongshan University 510275 Guangzhou China 3. department of mathematics Guangxi Teacher’s College 530001 Nanning China

In this paper, we give a positive answer to a recent open problem of Skiba in Kourovka Notebook without using the odd order theorem and other deep theorems. Some of the techniques are improved.

关键词： supersolvable group c-supple merited subgroup complemented subgroup generalized fitting subgroup saturated formation

DEGENERATED HOMOCLINIC BIFURCATIONS WITH HIGHER DIMENSIONS

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Chinese Annals of mathematics,Series B 2000年第2期21卷 201-210页

作者： JINYINLAI ZHUDEMINC departmentofmathematics EastChinaNormalUniversityShanghai200062China. departmentofmathematics LinyiTeacherCollegeLinyi276005ShandongChina.

The degenerated homoclinic bifurcation for high dimensional system is considered. The existence, uniqueness, and incoexistence of the 1-homclinic orbit and 1-periodic orbit near　Г are studied under the nonresonant c... 详细信息

关键词： Local coordinates Poincare map Homoclinic orbit Periodic orbit 2-fold periodic orbit Resonant condition

NECESSARY AND SUFFICIENT CONDITION OF THE STRONG CONVERGENCE FOR TWO FINITE FAMILIES OF UNIFORMLY L-LIPSCHITZIAN MAPPINGS

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Acta Mathematica Scientia 2011年第5期31卷 2058-2066页

作者：谷峰 Institute of Applied mathematics and department of mathematics Hangzhou teacher's college

The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Bana... 详细信息

关键词： asymptotically pseudo-contractive mapping uniformly L-Lipschitzian map- ping parallel iterative algorithm

Fuzzy controllers based on some fuzzy implication operators and their response functions

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Progress in Natural Science:Materials International 2004年第1期14卷 16-21页

作者： LI Hongxing 1*, YOU Fei 1 and PENG Jiayin 2(1. department of mathematics, Beijing Normal University, Beijing 100875, china 2. department of mathematics, Neijiang teacher's college, Neijiang 641112, china) Beijing Normal Univ Dept Math Beijing 100875 Peoples R China

The fuzzy controllers constructed by 23 fuzzy implication operators based on CRI algorithm and their response functions are discussed. The conclusions show that the fuzzy controllers constructed by 9 fuzzy implication operators are universal approximators to continuous functions and can be used in practical fuzzy control systems. And these 9 fuzzy implication operators except for Einstein operator intersection are all the adjoint pairs of some fuzzy implication operators. Besides, there are 3 other fuzzy controllers formed by fuzzy implication operators being regarded approximately as fitted functions.

关键词： fuzzy implication operators CRI algorithm fuzzy controllers response functions universal approximators

Finite Dimension of Global Attractor of Nonlinear Strain Waves in Elastic Waveguides

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 173-176页

作者： Dacai MA and Murong JIANG(department of mathematics, Shangrao teacher’s college, Shangrao 334000,china)(department of mathematics, Yunnan University, Kunming 650091, china)E-mail: jemail@*** department of mathematics Shangrao Teacher's College Shangrao 334000 China department of mathematics Yunnan University Kunming 650091 China

Consider herein are the finite dimension of global attractor of nonlinearstrain waves in elastic waveguides. By constructing two appropriate bounded coerciveguadratic forms and analysis of evolution of volume in E1 sp... 详细信息

关键词： strain wave attractor Hausdorff and fractal dimensions

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

PERSISTENCE OF A THREE INTERACTING PREY-PREDATOR MODEL WITH REFUGES

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生物数学学报 1995年第2期10卷 17-25+33页

作者： Wang Yuquan(department of mathematics,Huaihua teacher's college,Hunan 418008,P.R.china) 怀化师范高等专科学校数学系湖南怀化

The paper considers a kind of ecology models of two predator populations and one common prey population,in which the prey population can choose their own refuges to avoid being preyed by its natural enemy,and the prey species can diffuse between interior and exterior of the *** is proved that the system can be persistent if the carrying capacity of refuges is appropriate *** more it is shown that the system can be global stable if the multiplication rate of two predator populations is *** if there exists at least one predator population,whose multiplication rate are all lower,the predator population can be extinct in the future.

关键词： Ecology model Persistence Global Stable

Representation of Congruences on Regular Semigroups with Inverse Transversals

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Acta Mathematica Sinica,English Series 1999年第3期15卷 347-352页

作者： Limin Wang Xilin Tang department of mathematics, South china Normal University, Guangzhou 510631, P. R. china department of mathematics, Guangzhou teacher’s college, Guangzhou 510400, P. R. china department of mathematics South China Normal University Guangzhou P. R. China department of mathematics Guangzhou Teacher’s College Guangzhou P.R. China

For a regular semigroup with an inverse transversal, we have Saito’s structure W(I, S°, Λ, *, α,β). We represent congruences on this kind of semigroups by the so-called congruence assemblage which consist of congruences on the structure component parts I, S° and Λ. The structure of images of this type of semigroups is also presented.

关键词： Inverse transversal Congruence Congruence assemblage

Pointed Representations of Virasoro Algebra

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Acta Mathematica Sinica,English Series 1997年第2期13卷 161-168页

作者： Xu Xiang (department of mathematics,Guangzhou teacher’s college,Guangzhou 510000,china) department of mathematics Guangzhou Teacher"s College

In this paper we study the pointed representations of the Virasoro *** show that unitary irreducible pointed representations of the Virasoro algebra are Harish-Chandra repre- sentations,thus they either are of highest or lowest weights or have all weight spaces of dimension ***,we prove that unitary irreducible weight representations of Virasoro superalgebras are either of highest weights or of lowest weights,hence they are also Harish-Chandra representations.

关键词： Pointed representation Virasoro algebra Harish-Chandra representation Virasoro