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A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces

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Acta Mathematicae Applicatae Sinica 2003年第3期19卷 425-430页

作者： Ji-cheng HouDepartment of Mathematics, Shantou university, Shantou 515063, chinaCorrespondence address: Department of Mathematics and Information Science, yantai university, yantai264005, china Department of Mathematics Shantou University Shantou 515063 China Department of Mathematics and Information Science Yantai University Yantai 264005 China

In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibr... 详细信息

关键词： H-space fixed points abstract economy non-compact domain Nash equilibria compactly open lower sections

The regular representation and regular covariant representation of crossed products of Woronowicz C^(*)-algebras

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Science china Mathematics 2005年第9期48卷 1245-1259页

作者： ZHANG Xiaoxia~(1,2) & GUO Maozheng~(1,3) 1. School of Mathematical Sciences,Peking university,Beijing 100871,china 2. Department of Mathematics,yantai university,yantai 264005,china 3. LMAM,Peking university,Beijing 100871,china 1. School of Mathematical Sciences Peking University 100871 Beijing China 2. Department of Mathematics Yantai University 264005 Yantai China 3. LMAM Peking University 100871 Beijing China

In this paper,it is shown that the regular representation and regular covariant representation of the crossed products A×α G correspond to the twisted multiplicative unitary operators,where A is a Woronowicz C~*-algebra acted upon by a discrete group ***,it is also shown that the regular covariant C~*-algebra is the Woronowicz C~*-algebra which corresponds to a multiplicative ***,an explicit description of the multiplicative unitary operator for C(SU_q(2) )×α (?) is given in terms of those of the Woronowicz C~*-algebra C(SU_q(2) ) and the discrete group G.

关键词： multiplicative unitary operator, Woronowicz C*-algebra, crossed product.

Stochastic bi-resonance in non-isothermal carbon monoxide catalytic oxidation system

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Science china Chemistry 2007年第6期50卷 731-736页

作者： GONG YuBing1, XU Bo1, HAN JiQu2, XU XiuWei1 & LIU ShengDian1 1 School of Physics & Electronic Engineering, Ludong university, yantai 264025, china 2 School of Photoelectricity Information Science Technology, yantai university, yantai 264005, china School of Physics and Electronic Engineering Ludong UniversityYantai 264025China School of Photoelectricity Information Science Technology Yantai UniversityYantai 264005China

The Pt(110)/CO+O2 system subject to reaction heat, heat conduction and radiative heat transfer is non-isothermal and its temperature varies in time and space. In this paper, taking support temperature (ST) as the control parameter, the effect of the ST fluctuations in the oscillatory dynamics of the non-isothermal Pt(110)/CO+O2 system is numerically studied. It is found that the ST fluctuations may induce stochastic oscillations and the oscillations exhibit stochastic bi-resonance (SBR) with the change of the strength or correlation time of the fluctuations. This result shows that the temperature fluctuations may enhance the chemical reaction oscillations. Moreover, the system can selectively and repeatedly employ the temperature fluctuations to enhance its reaction oscillations. It is also shown when the distance of the ST temperature to the oscillatory region increases a little, the effect of the temperature fluctuations would obviously weaken.

关键词： non-isothermal system of CO catalytic oxidation, reaction rate oscillation, temperature fluctuation, stochastic bi-resonance

The Blowing-up of the Solutions for a Class of Nonlinear Reaction-Diffusion Equations

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Systems Science and Systems Engineering 1999年第4期9卷 9-12页

作者： YAN Gui\|qing Department of Mathematics and Information Science, yantai university yantai 264005,china

In this paper, we discuss the blowing\|up of the solutions of a class of nonlinear reaction\|diffusion equations with the general (or nonlinear) boundary conditions. On some proper assumptions, we conclude that there ... 详细信息

关键词： nonlinear reaction\|diffusion equation blow\|up

顶层设计,还是自然生长?——数字资源编排方向的前因组态研究

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科学学与科学技术管理 2024年第9期45卷 35-51页

作者：赖晓烜陈衍泰范彦成浙江工业大学管理学院杭州310014 浙江工商大学管理学院杭州310018 浙江财经大学经济学院杭州310018

如何通过资源编排行动促进多维数字能力间的构建协同,是企业取得数字化转型高绩效的重要基础。资源编排视角有利于揭示多维数字能力间协同与耦合的过程,发现组织选择自上而下的顶层设计,还是自下而上的自然生长策略的决策逻辑。囿于现... 详细信息

如何通过资源编排行动促进多维数字能力间的构建协同,是企业取得数字化转型高绩效的重要基础。资源编排视角有利于揭示多维数字能力间协同与耦合的过程,发现组织选择自上而下的顶层设计,还是自下而上的自然生长策略的决策逻辑。囿于现有研究在多维数字能力间均质线性与和谐耦合的假设,未能充分解释多维数字能力在冲突中非线性的发展现象;资源编排的对称式前因研究,也难以揭示多前因共存依赖下差异化发展路径的机理及演化规律。研究采用“环境—组织—注意力”的研究框架,选取浙江省“未来工厂”中分属不同转型阶段的96家企业,运用基于时间序列定性比较分析的方法探讨了数字化转型中怎样的前因组合能促进多维数字能力的构建协同,以实现高绩效数字化转型。研究发现:(1)单因素不构成高绩效的必要条件,多样化组态构成多条非对称高(非高)绩效路径;(2)各前因要素在各阶段演化呈现规律性特征;(3)编排方向呈现从“自下而上”启始,双向分化后趋于“双向流”汇聚的发展趋势。

关键词：数字化转型多维数字能力资源编排方向注意力结构组态演化

GENERAL CAUCHY PROBLEM FOR THE LINEAR SHALLOW-WATER EQUATIONS ON AN EQUATORIAL BETA-PLANE

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Journal of Hydrodynamics 2006年第3期18卷 303-309页

作者： SHEN Chun SHI Wei-hui School of Mathematics and Information Yantai Normal University Yantai 264025 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Department of Mathematics Shanghai University Shanghai 200444 China

Based on the theory of stratification, the well-posedness of the initial value problem for the linear shallow-water equations on an equatorial beta-plane was discussed. The sufficient and necessary conditions of the existence and uniqueness for the local solution of the equations were presented and the existence conditions for formal solutions of the equations vere also given. For the Cauchy problem on the hyper-plane {t = O}, the local analytic solution were worked out and a special case was discussed. Finally, an example was used to explain the variety of formal solutions for the ill-posed problem.

关键词： stratification initial value problem,well-posedness shallow-water equations

BAHADUR'S REPRESENTATION FOR NEAREST NEIGHBOR MEDIAN ESTIMATES: THE FIXED DESIGN CASE

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Systems Science and Mathematical Sciences 1999年第2期12卷 133-144页

作者： YANG Ying(Department of Probability and Statistics, Peking university, Beijing 100871, china)WANG Bingzhang(Department of Mathematics and Information Science, yantai university, yantai 264005, china) 北京大学概率统计系北京烟台大学数学系山东烟台

Consider the nonparametric regression model Yi=g(xi) +ei, i=1, 2,...,where g is an unknown function defined on the interval [0, 1], the fixed design points xi(i≥1) are known and ei’s are i.i.d. random variables with median zero. The regressor is assumed to take values in [0, 1]∈ R and the regressand to be real valued. This paper stu-dies the behavior of the nearest neighbor median estimate gnh(x)=m(Yn1(x), Yn2(x),...,Ynh(x)), where h is the number of the nearest neighbor. Under suitable conditions, Bahadur’s representation for the above-mentioned the nonparametric regression function g is obtained. Law of iterated logarithm and asymptotic normality are also established.

关键词： Nearest neighbor median estimates Bahadur’s representation asymptotic normality law of iterated logarithm.

The Initial Boundary Value Problem for a Class ofGeneralized Nonlinear Schrodinger Equations

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Systems Science and Systems Engineering 1998年第4期8卷 488-491页

作者： YAN Guiqing(Department of mathematics and Information Science, yantai university, yantai 264005)

We discuss the initial boundary value problem of a class of nonlinear Schr6dinger equations with potential functions. By the theory of the group of unitary operators and the method ofthe prior estimate, we prove the g... 详细信息

关键词： Nonlinear Schrodinger equation group of unitary operators prior estimate

On the classification of compact quantum groups U_θ(2)

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Science china Mathematics 2010年第5期53卷 256-269页

作者： ZHANG XiaoXia Department of Mathematics,yantai university,yantai 264005,china 1. Department of Mathematics Yantai University Yantai 264005 China

In this paper,we show that the corepresentation of compact group Uθ(2) on the vector space is determined by its infinitesimal generators B0,B2,A0,A1 and A2,where θ is an irrational *** also show that B0 and B2 commute with Aj,j = 0,1,2,so B0,A0,A1 and A2 are sl(2,C) loop *** we exhibit all irreducible representations of Uθ(2),which are different from those of group U(2),and use above results to give the classification of quantum groups Uθ(2),which is analogous to that of irrational algebra Aθ.At the same time,we also give all the forms of automorphisms on quantum group Uθ(2).

关键词： compact quantum group comultiplication irreducible representation