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A new definition of restricted Lie superalgebras

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Chinese Science Bulletin 2000年第4期45卷 316-321页

作者： WANG Ying & ZHANG Yongzheng1. department of mathematics, {2. institute technology, {2. 150001, china 2. department of mathematics, Northeast Normal University, Changchun 13002., china department of mathematics Harbin Institute Technology Harbin China department of mathematics Northeast Normal University Changchun China

A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.

关键词： restricted Lie superalgebra p-mapping p-semilinear mapping α-representation.

Pseudo almost periodic solutions to parabolic boundary value inverse problems

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Science china mathematics 2008年第7期51卷 1203-1214页

作者： ZHANG ChuanYi & YANG FengLin department of mathematics,{2. institute of technology,{2. 150001,china department of mathematics Harbin Institute of Technology Harbin China

We first define the pseudo almost periodic functions in a more general *** we show the existence,uniqueness and stability of pseudo almost periodic solutions of parabolic inverse problems for a type of boundary value ... 详细信息

关键词： pseudo almost periodic function inverse problem parabolic equation boundary value problem

THE STABILITY OF THE θ-METHODS FOR DELAYDIFFERENTIAL EQUATIONS

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Journal of Computational mathematics 1999年第4期17卷 441-448页

作者： Jing-jun Zhao Ming-zhu Liu(department of mathematics,{2., harbin 150001, china)Shen-shan Qiu(department of Computer Science and Engineering,{2., harbin 150001, china) 哈尔滨工业大学数学系黑龙江哈尔滨 150001 哈尔滨工业大学数学系黑龙江哈尔滨哈尔滨工业大学计算机系黑龙江哈尔滨

This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three θ-methodsin the solution of the linear test equation u'(t)-A(t)u(t)+B(t)u( (t)) with (t)and A(t),B(t) continuous matrix functions. The stability regions for the threeθ-methods are determined.

关键词： Delay differential equations Numerical solution Stabilityl θ-methods.

A New Lie Algebra and a Way to Generate Multiple Integrable Couplings

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Communications in Theoretical Physics 2007年第12期48卷 979-982页

作者： FENG Bin-Lu~(1,2.and HAN Bo~1~1 department of mathematics,{2. institute of technology,{2. 150001,china~2.department of mathematics,Weifang University,Weifang 2.1000,china department of mathematics Harbin Institute of Technology department of mathematics Weifang University

A new higher-dimensional Lie algebra is constructed,which is used to generate multiple integrable *** this,we come to a general approach for seeking multi-integrable couplings of the known integrablesoliton equations.

关键词： Lie algebra integrable hierarchy Hamiltonian structure

Three-dimensional configurations of organic/inorganic hybrid nanostructural blocks (I).A quantum mechanical investigation for ladder-like structure of vinylsilsesquioxane

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Science china Chemistry 2004年第5期47卷 388-395页

作者： ZHANG Xingwen1,2. HU Lijiang1, HUANG Yudong1, SUN Dezhi2.& SUN Yi3 1. department of Applied Chemistry,harbin {2. of technology, HUANG Yudong, harbin 150001, china 2. department of Environmental Engineering, harbin institute of technology, harbin 150001, china 3. department of Experimental Mechanics,harbin {2. of technology, harbin 150001, china Dept. of Applied Chem. Harbin Inst. of Technol. Harbin 150001 China Dept. of Environ. Eng. Harbin Inst. of Technol. Harbin 150001 China Dept. of Experimental Mech. Harbin Inst. of Technol. Harbin 150001 China

The organic/inorganic hybrid nanostructural vinylsilsesquioxanes (VSSO) were prepared from the hydrolytic condensation of vinyltrimethoxysilane (VMS). The proposed formu- las of VSSO were assigned with standard spectroscopic techniques, FTIR, NMR (1H, C and 13 2.Si) and MALDI-TOF MS, and a generic formula of the SSO, Tn(OH)x(OR’)y(x, y = 0, 1, 2.; n = 1, 2.; T = RSiO1.5 ?(x+y)/2.). Geometric parameters (Si-O and Si-C bond lengths, Si-O-Si and O-Si-O bond angles) and total energies of the multi-structures of VSSO were calculated by a quantum mechanical investigation and molecular symmetries. According to the results of the calculation, most molecules had stabler ladder structures than the cage isomers, therefore, the most probably reasonable and optimum structure of the VSSO system was the ladder type.

关键词： vinyltrimethoxysilane (VMS), silsesquioxanes (SSO), sol-gel process, quantum mechanical calculation, MNDO.

Topological algebras of infinite matrix operators between sequence spaces λ and μ

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Chinese Science Bulletin 1997年第19期42卷 1591-1593页

作者： WU Congxindepartment of mathematics,{2., harbin 150001, china department of mathematics Harbin Institute of Technology Harbin China

SINCE Michael (1952. published the first book about topological algebras, it has become abranch of functional analysis. Applications of topological algebras have been found in complexanalysis of several variables, differential geometry, unbounded operator and others, and alge-braic topology, k-theory and others have been applied to topological algebras (see, for exam-ple, ref.[2.). It is well known that the set of all continuous linear operators on Banach spaceconstitutes a Banach algebra, so it is obviously meaningful to study the topological algebra con-stituted by the set of all continuous linear operators on concrete topological vector space. It

关键词： topologiesl algebra sequence space infinite matrix m-convexity metrizability.

Corrosion behavior of Zn-Ni-Al_2._3 composite coating

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Rare Metals 2006年第z2期25卷 174-178页

作者： ZHENG Huanyu, AN Maozhong, and LU Junfeng department of Applied Chemistry, harbin institute of technology, {2. 150001, china department of Applied Chemistry Harbin Institute of Technology Harbin 150001 China

The corrosion behavior and anti-corrosion mechanism of the Zn-Ni-Al2.3 composite coating were investigated by SEM, EDS and XPS. The results indicate that the corrosion type of the Zn-Ni-Al2.3 coatings in neutral 5 wt.% NaCl solution is uniform corrosion. The presence of compact and uniformly dispersed nano alumina particles substantially inhibits the corrosion of Zn-Ni-Al2.3 composite coatings. In the initial corrosion stage, the corrosive products of Zn-Ni matrix form a compact ZnCl2.4Zn(OH)2.layer. With the development of corrosion, some nano alumina particles are embedded and form a Ni enrichment layer. In Ni enrichment layer, Ni presents as Ni and NiO.

关键词： Zn-Ni nano alumina corrosion composite electrodeposition

The Double Integrable Couplings of Tu Hierarchy

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Communications in Theoretical Physics 2007年第7期48卷 14-18页

作者： FENG Bin-Lu HAN Bo department of mathematics,{2. institute of technology,{2. 150001,chinaWEI Yuan department of mathematics and Information,Binzhou University,Binzhou 2.6600,china department of mathematics Harbin Institute of Technology department of mathematics and Information Binzhou University

Two types of Lie algebras are presented,from which two integrable couplings associated with the Tuisospectral problem are obtained,*** of them possesses the Hamiltonian structure generated by a linearisomorphism and the quadratic-form *** approach for working out the double integrable couplings of the sameintegrable system is presented in the paper.

关键词： Lie algebra integrable couplings isospectral problem Hamiltonian structure

INTERGRANULAR EMBRITTLEMENT IN PLASMA CARBURIZED LAYER

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Acta Metallurgica Sinica(English Letters) 1992年第2期5卷 141-144页

作者： XIA Lifang MA Xinxin harbin institute of technology,harbin,{2. harbin Inst of technology Harbin China

This paper deals with the cause of intergranular fracture occurred in the retained austenitic region in plasma carburized *** results show that the presence of retained austenite, which has a good effect on the impact toughness,has no relation to this ***- sis by Auger electron spectroscopy shows that the impurities S and P segregate at the grain boundaries is the main reason of the intergranular embrittlement in carburized layer. However,the segregation of P and S can be removed by reheating and quenching treatment.

关键词： plasma carburizing carburizing embrittlement impurity segregation