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Acta Mathematica Sinica,English Series 2002年第2期18卷 293-300页

作者： zhang Xiao Dong department of mathematics.East china Normal university,Shanghai 200062.p.r.china E-mail:xdzhang2@hotmail.comLI Jiong Sheng department of mathematics.university of science and technology of china,hefei 230026,p.r china department of mathematics East China Normal University Shanghai P. R. China department of mathematics University of Science and Technology of China Hefei P. R. China

We present,an upper and a lower bound for the spectral radius of non-negative matrices. Then we give the bounds for the spectral radius of digraphs.

关键词： Non-negative matrix Digraph Spectral radius

NONLINEAr STABILITY OF NATUrAL rUNGE-KUTTA METHODS FOr NEUTrAL DELAY DIFFErENTIAL EQUATIONS

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Journal of Computational mathematics 2002年第6期20卷 583-590页

作者： Cheng-jian zhang(department of mathematics, Huazhong university of science and technology, Wuhan 430074, Hubei, p. r. china) department of mathematics Huazhong University of Science and Technology Wuhan 430074

presents the stability analysis of theoretical solutions for a class of nonlinear neutral delay-differential equations (NDDE). Discussion on the numerical analogous results of the natural runge-Kutta (NrK) methods for the same class of nonlinear NDDE; review of the related concepts and results on rK methods; Information on the asymptotic stability and global stability of the induced NrK method.

关键词： nonlinear stability neutral delay differential equations natural runge-Kutta methods

Factorization Index for Completely positive Graphs

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Acta Mathematica Sinica,English Series 2002年第4期18卷 823-832页

作者： Xiao Dong zhang Jiong Sheng LI department of mathematics, Shanghai, Jiao Tong university, 1954 Huashan road, Shanghai 200030, p. r. china department of mathematics, university of science and technology of china, Anhui 230020, p. r. china department of mathematics Shanghai Jiao Tong University Shanghai P. R. China department of mathematics University of Science and Technology of China Anhui P. R. China

In this paper, we prove that the set of all factorization indices of a completely positive graph has no gaps. In other words, we give an affirmative answer to a question raised by N. Kogan and A. Berman [8] in the cas... 详细信息

关键词： Completely positive graph Factorization index Gap

Synthesis of perfluorinated Oxetane and Surface properties of Its Cationic UV Cured Coating as a reactive Additive

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Chemical research in Chinese Universities 2012年第3期28卷 550-554页

作者： ZHAN Fu,zhang Yong and SHI Wen-fang * CAS Key Laboratory of Soft Matter Chemistry,department of polymer science and Engineering,university of science and technology of china,hefei 230026,p.r.china department of polymer science and Engineering University of Science and Technology of China CAS Key Laboratory of Soft Matter Chemistry Hefei 230026

perfluorinated oxetane(F-OXE) was synthesized via the ring-opening reaction of epoxy-functionalized oxetane with 2-(perfluorooctyl)ethanol under base-catalysis,and characterized by FTIr and 1 H NMr *** synthesized F-OXE was mixed with a commercial cationic UV curable resin,UVr6110,as a reactive additive at different mass fractions,and UV-irradiation cured in the presence of triphenylsulphonium hexafluoroantimonate as a cationic *** surface property study of cured films indicated that both hydrophobicity and oleophobicity were effectively enhanced by the addition of a small amount of *** contact angles of water and 1-bromonaphthalene on the surface of the cured film with 1.0%(mass fraction) F-OXE loading increased from 72 o to 106o and from 0o to 76o,respectively,compared with those on the surface of the film without F-OXE *** surface tension of UVr6110-F-OXE cured film decreased greatly from 55.6 mN/m of referenced film to 22.9 mN/*** results from X-ray photoelectron spectroscopy analysis confirm the migration and aggregation effect of perfluoroalkyl group to the surface of cured *** 1%(mass fraction) addition of F-OXE,the relative content of fluorine greatly increased from 0.70%(mass fraction) in the interior of the cured film to 36.73%(mass fraction) at the surface of the cured film,whereas those of carbon and oxygen decreased from 73.29% to 40.96% and from 26.00% to 22.30%,respectively.

关键词： Cationic UV curing Oxetane perfluoroalkyl Water and oil repellence

MONTE CArLO SIMULATION STUDY OF SUrFACE ELECTrONIC EXCITATION OF NOBLE METALS

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Acta Metallurgica Sinica(English Letters) 2002年第2期15卷 191-197页

作者： H.M. Li, Z.J. Ding, Q.r. pu and Z.M. zhang Structural research Laboratory and department of Astronomy and Applied physics, university of science and technology of china, hefei 230026, china Dept. of Astron. and Appl. phys. Univ. of Sci. and Technol. of China Hefei 230026 China

In this work we present a numerical simulation of rEELS-spectrum for noblemetals, Au and Ag. The calculation is based on an electron-surface inelastic scattering modelpreviously developed. The differential inelastic cross section is obtained from an inhomogeneouselectron self-energy in the surface region, which provides full information of the dependency of thetotal and differential cross section on the kinetic energy, the distance from the surface and themoving direction of electrons, accommodating the formulation to the practical situation in surfaceelectron spectroscopes. A novel Monte Carlo simulation code of electron interaction with a surfaceincorporating the local scattering mean free path has been developed. The comparison of thesimulated rEELS-spectra with the experimental measurements shows a remarkable agreement on thespectrum shape, which then confirms that the present model for electron-surface inelastic scatteringis quite reasonable. The simulation has further shown the component to surface excitation due tothe individual scattering processes along trajectory part, i.e., the loss in vacuum beforereflection, the loss in vacuum after reflection and loss in metal events.

关键词： Monte Carlo surface plasmon rEELS Ag Au

The Spaces bp with 0 < p < 1

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Chinese Quarterly Journal of mathematics 2004年第4期19卷 331-337页

作者： HU zhang-jian, LIU Tai-shun(1.department of mathematics, university of science and technology of china, hefei 230026, china 2.department of mathematics, Huzhou Teacher's College, Huzhou 313000, china ) department of mathematics University of Science and Technology of China Hefei 230026China department of mathematics Huzhou Teacher's College Huzhou 313000China department of mathematics University of Science and Technology of China Hefei 230026China

Let 0 < p < 1. In this paper we prove that the Bergman norm on the p-th Bergman space bp(H) is equivalent to certain "normal direction norm" as well as certain "tangential direction norm", where H = rn-1 × r+ is the ... 详细信息

Let 0 p paper we prove that the Bergman norm on the p-th Bergman space bp(H) is equivalent to certain "normal direction norm" as well as certain "tangential direction norm", where H = rn-1 × r+ is the upper half space. As an application, we get the boundedness of harmonic conjugation operators on bp(H).

关键词： Bergman space upper half space harmonic conjugation

Two Families of Liapunov Functions for Functional Differential Systems

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Acta Mathematica Sinica,English Series 1999年第2期15卷 197-206页

作者： Yi zhang, department of Computer science and Engineering, university of Electronic science and technology of china, Chengdu 610054, p. r. chinaMeijuan Wang, department of Basic Studies, East china university of technology, 516 Jungong road Shanghai 200093, p. r. china department of Computer science and Engineering University of Electronic Science and Technology of China Chengdu P. R. China department of Basic Studies East China University of Technology Shanghai P. R. China

Two families of Liapunov functions are employed to study the global stability and bound- edness of functional differential systems. New stability and boundedness theorems are obtained. Ap- plications of these theorems... 详细信息

关键词： Liapunov Function razumikhin Technique Stability Infinite Delay

Quasi-sure Limit Theorem of parabolic Stochastic partial Differential Equations

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Acta Mathematicae Applicatae Sinica 2004年第4期 719-730页

作者： Xi Cheng zhang department of mathematics,Huazhong university of science and technology,Wuhan 430074,p.r.china

In this paper we prove a quasi-sure limit theorem of parabolic stochastic partial differentialequations with smooth coefficients and some initial conditions,by the way,we obtain the quasi-surecontinuity of the solution.

关键词： Stochastic partial differential equation Capacity Quasi-sure continuous Malliavin’s calculus

Effect of polymerization Condition on particle Size Distribution in St/BA/MAA Emulsion polymerization process

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Chemical research in Chinese Universities 2000年第1期16卷 67-71页

作者： TAN Bi-en (Material science and Engineering College, South china university of technology, Guanzhou 510641, p. r. china) zhang Hong-tao LI Jian-zong and HU Fang (department of Chemistry, Hubei university, Wuhan 430062, p. r. china) 华南理工大学广东广州 510641 湖北大学湖北武汉 430062

A series of St/BA/MAA emulsion polymerizations was carried out. By using pCS (photon correlation spectroscopy), the particle size distribution (pSD) of the whole St/BA/MAA emulsion polymerization process was gotten e... 详细信息

关键词： Emulsion polymerization particle size Latex particle size distribution