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DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES

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Chinese Annals of Mathematics,Series B 2000年第2期21卷 211-216页

作者： MEI TAO(College of Mathematics and computer sciences, wuhan {3., wuhan 43.072, china.) LIU PEIDE(College of Mathematics and computer sciences, wuhan {3., wuhan 43.072, china.) College of Mathematics and computer sciences Wuhan University Wuhan 430072 China

The authors establish a kind of inequalities for nonnegative submartingales which depend on two functions　ψ and ψ, and obtain the equivalent conditions for　Φ and ψ such that this kind of inequalities holds. In t... 详细信息

关键词： Matingale Nonnegative submartingale Maximal function Φ-function inequality

Existence of Single-Peaked Solution of a Semilinear Elliptic Problem

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wuhan university Journal of Natural sciences 2000年第4期5卷 386-390页

作者： Zhong Xin-hua College of Mathematics and computer science,wuhan {3.,wuhan 43.072,china wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

We discussed the Dirichlet problem of semilinear elliptic equation (P β,ε):β 2Δu=u p +εu,u>0, in Ω;u=0, on ?Ω, where Ω?R N (N≥4) is smooth and bounded domain, ,β,ε>0. We have proved that there exist positiveε 0 andε 1, such that when 0?ε?ε 0,β>√ε 1, (P β,ε) has a single-peaked solutionu β,ε; furthermore, |?u β0|2?0 in the sense of measure as ε→0 and β→0.

关键词： semilinear critical growth single-peaked solution

D-CONVERGENCE AND STABILITY OF A CLASS OF LINEAR MULTISTEP METHODS FOR NONLINEAR DDES

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Journal of Computational Mathematics 2000年第2期18卷 199-206页

作者： Cheng-jian Zhang Xiao-xin Liao (department of Mathematics, Huazhong university of science and Technology,{3.) 华中科技大学湖北武汉 430074

Presents information on a study which dealt with the error behavior and the stability analysis of a class of linear multistep methods with the Lagrangian interpolation as applied to the nonlinear delay differential eq... 详细信息

关键词： D-convergence stability multistep methods nonlinear DDEs

Dynamic scheduling model of computing resource based on MAS cooperation mechanism

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science in china(Series F) 2009年第8期52卷 1302-1320页

作者： JIANG WeiJin1,2, ZHANG LianMei3.& WANG Pu4 1 School of computer and Electronic Engineering, Hunan university of Commerce, Changsha 410205, china 2 School of Information Engineering, Xiangtan university, Xiangtan 411000, china 3.Electrical Engineering College, wuhan university, wuhan 43.072, china 4 School of Commerce, central south university, Changsha 410083. china 1. School of computer and Electronic Engineering Hunan University of Commerce Changsha 410205 China 2. School of Information Engineering Xiangtan University Xiangtan 411000 China 3. Electrical Engineering College Wuhan University Wuhan 430072 China 4. School of Commerce Central South University Changsha 410083 China

Allocation of grid resources aims at improving resource utility and grid application performance. Currently, the algorithms proposed for this purpose do not fit well the autonomic, dynamic, distributive and heterogeneous features of the grid environment. According to MAS （multi-agent system） cooperation mechanism and market bidding game rules, a model of allocating allocation of grid resources based on market economy is introduced to reveal the relationship between supply and demand. This model can make good use of the studying and negotiating ability of consumers＇ agent and takes full consideration of the consumer＇s behavior, thus rendering the application and allocation of resource of the consumers rational and valid. In the meantime, the utility function of consumer is given; the existence and the uniqueness of Nash equilibrium point in the resource allocation game and the Nash equilibrium solution are discussed. A dynamic game algorithm of allocating grid resources is designed. Experimental results demonstrate that this algorithm diminishes effectively the unnecessary latency, improves significantly the smoothness of response time, the ratio of throughput and resource utility, thus rendering the supply and demand of the whole grid resource reasonable and the overall grid load balanceable.

关键词： multi-agent system (MAS) resource scheduling model evolutionary game cooperation mechanism utility function

Tissue P systems with parallel rules on channels

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Progress in Natural science:Materials International 2007年第4期17卷 486-491页

作者： Xu Xian (department of computer science and Technology, Shanghai Jiao Tong {3., Shanghai 200240, china) [a]department of computer science and Technology Shanghai Jiao Tong University Shanghai China

A new variant of P systems as an improvement of the original design is introduced. The P systems here allow parallelism in rules application on synapses (or links, channels), rendering the systems more efficient. We describe the execution mechanism of our P systems, make analysis on its computation power, and illustrate the running by an example.

关键词： tissue P systems parallel rules.

A SOLUTION OF SHAPE EXTRUSION OR DRAWING BASED ON DEFORMATION THEORY

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中国有色金属学会会刊：英文版 1995年第4期5卷 114-117,126页

作者： Yuan Xi(department of Materials science and Engineering,central {3. university of Technology,Changsha 410083. CENT S UNIV TECHNOL DEPT MAT SCI & ENGNCHANGSHA 410083PEOPLES R CHINA

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ＡＳＯＬＵＴＩＯＮＯＦＳＨＡＰＥＥＸＴＲＵＳＩＯＮＯＲＤＲＡＷＩＮＧＢＡＳＥＤＯＮＤＥＦＯＲＭＡＴＩＯＮＴＨＥＯＲＹＹｕａｎＸｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎｃｅａｎｄＥｎｇｉｎｅｅｒｉｎｇ，ＣｅｎｔｒａｌＳｏｕｔｈＵｎｉｖｅ...

关键词： shape extrusion or drawing deformation theory upper bound approximation

Interfacial Microstructure and Properties of Ti(C, N)/Ni Bonded by Transient Liquid-phase Diffusion

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Journal of wuhan university of Technology(Materials science) 2009年第3期24卷 432-439页

作者：周世权熊惟皓 School of Mechanical science and Engineering Huazhong University of Science and Technology department of Mechanical Engineering University of Waterloo School of Materials science and Engineering Huazhong University of Science and Technology

Effects of the main process parameters（temperature and time） on microstructure and properties of Ti（C, N）/Ni interface bonded by （Cu＋Nb） interlayer in a vacuum diffusion bonding device were investigated. The interfacial microstructures consisted initially of Ni3.b metallic compound and eutectic of Ni3.b ＋ CuNiss, and finally transformed to （Ti, Nb）（C, N）＋Ni3.b near Ti （C, N） and NiCuss ＋ Ni3.b near Ni when diffusion bonding temperature was 1 523.1 573.K. It was clear that Cu was a constituent in the transient liquid phase （TLP） into which Ni was dissolved by forming Cu-Ni transition liquid. Nb was dissolved in Cu-Ni transition liquid rapidly. Ti （C, N） conld be wetted by resultant Ni-Nb-Cu transient liquid phase which was followed by a little （Ti, Nb）（C, N） solid solution formed at interface. This increased the interface combining capability. Ultimately the interface shear strength was able to reach 140 MPa. The theoretle analysis and experimental results show that the growth of interfacial reaction layer Ni3.b accords with parabola law, and the activation energy of diffusion reaction is 115.0±0.5 kJ/mol, while the diffusion reaction speed constant is 12.53.mm/s^1/2.

关键词： vacuum diffusion bonding transient liquid phase (TLP) diffusion bonding interlayer activation energy

ACOUSTIC REFLECTION FROM A BAFFLED ELASTIC/PIEZOELECTRIC PLATE

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Acta Mechanica Solida Sinica 2002年第2期15卷 156-162页

作者： Zhao Hanzhong (department of Mechanics,Huazhong university of science and Technology,{3. 4.0074.china) department of Mechanics Huazhong Univ. of Sci. and Technol. Wuhan 430074 China

A finite difference/boundary integral procedure to determine theacoustic reflected pressure from a fluid-loaded bi-laminated plate isdescribed. The bi-laminate is composed of a piezoelectric layer andan elastic layer in contact with the fluid, and is held by anacoustically hard baffle. In the numerical model, the fluid pressureat fluid/solid interface is replaced by a continuum of point sourcesweighted by the normal acceleration of the elastic plate, and thegoverning equation system is solved in the solid domain.

关键词： acoustic reflection baffled palte finite difference boundary integral

EXPONENTIAL ESTIMATES FOR STOCHASTIC DELAY EQUATIONS WITH NORM-BOUNDED UNCERTAINTIES

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Journal of Systems science & Complexity 2009年第2期22卷 324-332页

作者： Hongchu WANG Shigeng HU School of Mathematics science South China Normal University Guangzhou 510631 China. department of Mathematics Huazhong University of Science and Technology Wuhan 430074 China.

This paper presents the sufficient conditions for the exponential stability of linear or semi-linear stochastic delay equations with time-varying norm bounded parameter ***-tial estimates for the solutions are also obtained by using a modified Lyapunov-Krasovski *** conditions can be tested numerically using interior point algorithms.

关键词： Exponential estimates time delay uncertainty.