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Stability of Some Nonlinear Systems With Delay Including Populations Systems

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 248-252页

作者： Shujuan GUO, Jiong RUAN, Lijuan LI and Aifen FANG (department of Mathematics, fudan university, shanghai 200433, china) department of Mathematics Fudan University Shanghai 200433 China

We establish sufficient conditions for asymptotical stability of some nonlinear systems with delay which include populations systems by using Lyapunov ***, we get the results of global stability of these systems when ... 详细信息

关键词： delay populations system asymptotical stability global stability invariable principle

COMPLETE EXTREMAL SURFACES OF MIXED TYPE IN 3-DIMENSIONAL MINKOWSKI SPACE

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Chinese Annals of Mathematics,Series B 1994年第4期15卷 385-400页

作者： GU CHAOHAO (Institute of Mathematics, fudan university,shanghai 200433, china.) fudan UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

Many complete extremal surfaces of mixed type are constructed with explicit expressions. Itis proved that there exist complete extremal surfaces of mixed type which have a given numberof time-like spans and a given nu... 详细信息

关键词： Extremal surface Mixed type Minkowski space.

A note on Jacobi-Eisenstein series

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Chinese Science Bulletin 1998年第14期43卷 1163-1165页

作者： WANG Juping Institute of Mathematics, fudan university, shanghai 200433, china Institute of Mathematics Fudan University Shanghai China

The so_called Jacobi_Eisenstein series is defined by E k, S (z, w)=∑y∈J ∞\J (1, j) Z 1|k, Sy(z, w) . The Fourier coefficients of E k, S is determined completely. The theorem extends the results of Eichler and Zagie... 详细信息

关键词： Jacobi Eisenstein series Jacobi form Fourier coefficient

NUMERICAL SIMULATION OF TWO-PHASE GRAVITY CURRENTS OVER A POROUS SUBSTRATE

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Journal of Hydrodynamics 2003年第5期15卷 81-90页

作者： Zhou Liang , Hu Yue, Zhang Hui sheng department of Mechanics and Engineering Science, fudan university, shanghai 200433, china, Dept. of Mech. and Eng. Sci. Fudan Univ. Shanghai 200433 China

Based on shallow-water approximations the governing equations for twodimensional two-phase gravity currents over a porous substrate and some appropriate boundaryconditions were introduced. With on characteristic interpolations the numerical boundary conditionswere introduced and a series of exact solutions were constructed. Numerical a-nalysis were made byusing the two-step Lax scheme, second-order TVD scheme, third-order ENO scheme and fifth-order WE NOscheme combined with second- and third-order TVD-Runge-Kutta method is given. It is found that forpractice applications the second-order TVD scheme combined with the second-order TVD- Runge- Kuttamethod is an economical and suitable choice.

关键词： two-phase gravity currents porous substrate numerical simulation

PRIMITIVITY OF SMASH PRODUCT C_q#B_q

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Chinese Annals of Mathematics,Series B 1994年第4期15卷 443-452页

作者： LU DIMING(Institute of Mathematics,fudan university,shanghai 200433, china.) fudan UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

It is proved that the Smash product is a primitive algebra,where Bq is the Hopfalgebra corresponding to the compact quantum group SqU(2) and Cq is a Hopf-subalgebra of the topological dual.

关键词： q-binomal coefficient Smash product Quantum group.

A Modified Binomial Tree Method for Currency Lookback Options

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Acta Mathematica Sinica,English Series 2000年第3期16卷 445-454页

作者： Min Dai Institute of Mathematics,fudan university,shanghai 200433,P.R.china Institute of Mathematics Fudan University Shanghai 200433 P. R. China

The binomial tree method is the most popular numerical approach to pricing options. However,for currency lookback options,this method is not consistent with the corresponding continuous models,which leads to slow speed of *** the basis of the PDE approach,we develop a consistent numerical scheme called the modified binomial tree *** possesses one order of accuracy and its efficiency is demonstrated by numerical *** convergence proofs are also produced in terms of numerical analysis and the notion of viscosity solution.

关键词： Modified binomial tree method Currency lookback options Convergence

Sulfidation of Ni, Mo-Containing Y Zeolites and Reactivity for Thiophene Hydrodesulfurization

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石油学报（石油加工） 1997年第S1期13卷 37-44页

作者： Cui Jun, Gao Zi (department of chemistry, fudan university, shanghai 200433 )

ＳｕｌｆｉｄａｔｉｏｎｏｆＮｉ，ＭｏＣｏｎｔａｉｎｉｎｇＹＺｅｏｌｉｔｅｓａｎｄＲｅａｃｔｉｖｉｔｙｆｏｒＴｈｉｏｐｈｅｎｅＨｙｄｒｏｄｅｓｕｌｆｕｒｉｚａｔｉｏｎＣｕｉＪｕｎ，ＧａｏＺｉ（Ｄｅｐａｒｔｍｅｎｔｏｆ... 详细信息

ＳｕｌｆｉｄａｔｉｏｎｏｆＮｉ，ＭｏＣｏｎｔａｉｎｉｎｇＹＺｅｏｌｉｔｅｓａｎｄＲｅａｃｔｉｖｉｔｙｆｏｒＴｈｉｏｐｈｅｎｅＨｙｄｒｏｄｅｓｕｌｆｕｒｉｚａｔｉｏｎＣｕｉＪｕｎ，ＧａｏＺｉ（ＤｅｐａｒｔｍｅｎｔｏｆＣｈｅｍｉｓｔｒｙ，ＦｕｄａｎＵｎ...

关键词： Ni Mo containing Y zeolites sulfidation characterization thiophene hydrodesulfurization

THE GAUSS MAP OF TIMELIKE SURFACES IN R1^n

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Chinese Annals of Mathematics,Series B 1995年第3期16卷 361-370页

作者： HONG JIANQIAO(Institute of Mathematics, fudan university, shanghai 200433, china.) fudan UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

Gauss maps of oriented timelike 2-surfaces in are characterized, and it is shown that Gallss maps can determine surfaces locally as they do in case. Moreover, some essential differences are discovered between the properties of the Gauss maps of surfaces in Rn and those of the Gauss maps of timelike surfaces in. In particular, a counterexample shows that a nonminimal timelike surface in cannot be essentially determined by its Gauss map.

关键词： Timelike surface Gauss map External surface.

Effect of antimony on the reduction of anodic Pbo_2 film on Pb-Sb alloys in sulfuric acid solution

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Chinese Journal of chemistry 1996年第2期14卷 138-146页

作者： CAI,Wen-Bin WAN,Yong-Qin LIU,Hou-Tian ZHOU,Wei-Fangdepartment of chemistry,fudan university,shanghai 200433,china department of chemistry Fudan University Shanghai 200433 China

The reduction processes of anodic PbO2 films formed on Pb-Sb alloys in 4.5mol·dm-3 H2SO4 solution at 1.4 V(***/Hg2SO4) for 1 h have been investigated by pho-tocurrent method,chronoamperometry,linear sweep voltammetry as well as X-ray *** was found that the reduction of most of the β-PbO2 and part of the α-PbO2 to PbSO4 can be completed within I s between 0.9 V and 1.0 V(***/Hg2SO4) and proceeds much faster than that of the remaining a-PbO2 into photoactive α·PbOx (12 and decreases slightly the band-gap energy of t-PbO.

关键词： Anodic PbO_2 film reduction process non-stoichiometric lead oxides