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ON JENSEN'S INEQUALITY FOR g-EXPECTATION

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Chinese Annals of mathematics,Series B 2004年第3期25卷 401-412页

作者： JIANG LONG chen zengjing School of mathematics and System Sciences, shandong university, jinan 250100, china. department of mathematics, china university of Mining and Technology, Xuzhou 221008, Jiangsu,china. E-mail: jianglong@*** School of mathematics and System Sciences, shandong university, jinan 250100, china. shandong Univ Sch Math & Syst Sci Jinan 250100 Peoples R China china Univ Min & Technol Dept Math Jiangsu 221008 Peoples R China shandong Univ Sch Math & Syst Sci Jinan 250100 Peoples R China

Briand et al. gave a counterexample showing that given g, Jensen's inequality for g-expectation usually does not hold in general This paper proves that Jensen's inequality for g-expectation holds in general if and onl... 详细信息

关键词： Backward stochastic differential equation Jensen's inequality g-expectaation Conditional g-expectation Comparison theorem

Transparent Conducting ZnO:Al Films on Different Organic Substrates Deposited by r.f. Sputtering

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Journal of Materials Science & Technology 2000年第1期16卷 23-26页

作者： Yuan chen, Deheng ZHANG and Qingpo WANG (department of Physics, shandong university, jinan 250100, china) Jin MA and Tianlin YANG (Institute of Optoelectronic Materials and Devices, shandong university, jinan 250100, china) department of Physics Shandong University Jinan 250100 China Institute of Optoelectronic Materials and Devices Shandong University Jinan 250100 China

Transparent conducting ZnO:AI films with good adhesion, low resistivity and high transmittance have been prepared on polyptopylene adipate (PPA), polyisocyanate (PI) and polyester substrates by r.f. magnetron sputtering. The structural, electrical and optical properties of the obtained films were studied. The polycrystalline ZnO:AI films with resistivity as low as 5.76xl0^-4 Ω.cm, carrier concentration 9.06xl0^20 cm^-3 and Hall mobility 11.98 cm^2 V^-1s^-1 were produced on PPA substrate by controlling the deposition parameters. The average transmittance of films on PPA is ～80% in the wavelength range of visible spectrum. The films on PPA substrates have better electrical and optical properties compared with the films on other kinds of substrates.

关键词： ZnO Sputtering Transparent Conducting ZnO Al

Electronic Structure of New Superconducting Perovskite MgCNi3

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Journal of Materials Science & Technology 2004年第2期20卷 203-205页

作者： Li chen, Hua LI and Liangmo MEIPhysics and Microelectronic School, shandong university, jinan 250100, china department of Physics, Linyi Teachers university, shandong 276005, china Phys. and Microelectron. Sch. Shandong Univ. Ji'nan 250100 China Dept. of Phys. Linyi Teachers Univ. Linyi 276005 China

The electronic structures of new superconducting perovskite MgCNi3 and related compounds MgCNi2T (T=Co, Fe, and Cu) have been studied using MS-Xa method. In MgCNi3, the main peak of density of states is located below the Fermi level and dominated by Ni d. From the results of total energy calculations, it was found that the number of Ni valence electron decreases faster for the Fe-doped case than that for the Co-doped case. The valence state of Ni changes from +1.43 in MgCNi2Co to +3.02 in MgCNi2Fe. It was confirmed that Co and Fe dopants in MgCNi3 behave as a source of d-band holes and the suppression of superconductivity occurs faster for the Fe-doped case than that for the Co-doped case. In order to explain the fact that Co and Fe dopants in MgCNi3 behave as a source of d-band holes rather than magnetic scattering centers that quench superconductivity, we have also investigated the effects of electron (Cu) doping on the superconductivity and found that both electron (Cu) doping and hole (Co, Fe) doping quench superconductivity exist. Comparing with the hole (Co) doping, there was no much difference between Cu and Co doping. This suggests that Co and Fe doping do not act as magnetic impurity.

关键词： Electronic structure Superconductivity Density of states

Large deviation principle for diffusion processes under a sublinear expectation

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Science china mathematics 2012年第11期55卷 2205-2216页

作者： chen zengjing 1,2 & XIONG Jie 3,4,1 School of mathematics,shandong university,jinan 250100,china 2 department of Financial Engineering,Ajou university,Suwon 443749,Korea 3 department of mathematics,university of Macao,PO Box 3001,Macao,china 4 department of mathematics,university of Tennessee,Knoxville,TN 37996-1300,USA 1. School of mathematics Shandong University Jinan 250100 China 2. department of Financial Engineering Ajou University Suwon 443749 Korea 3. department of mathematics University of Macau PO Box 3001 Macau China 4. department of mathematics University of Tennessee Knoxville TN 37996-1300 USA

We represent the exponential moment of the Brownian functionals under a nonlinear expectation according to the solution to a backward stochastic differential *** an application,we establish a large deviation principle of the Freidlin and Wentzell type under the corresponding nonlinear probability for diffusion processes with a small diffusion coefficient.

关键词： large deviation principle backward stochastic differential equation g-expectation ambiguity

THE　GENERALIZED　SOLUTIONS　OF　PBVP　FOR　INTEGRO-DIFFERENTIAL　EQUATIONS

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Systems Science and Mathematical Sciences 1996年第2期9卷 145-150页

作者： ZHUANG Wan chen Yubo(department of mathematics, shandong Normal university, jinan 250014, china) 山东师范大学数学系山东济南

ＴＨＥＧＥＮＥＲＡＬＩＺＥＤＳＯＬＵＴＩＯＮＳＯＦＰＢＶＰＦＯＲＩＮＴＥＧＲＯ－ＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＺＨＵＡＮＧＷａｎ；ＣＨＥＮＹｕｂｏ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｓｈａｎ... 详细信息

ＴＨＥＧＥＮＥＲＡＬＩＺＥＤＳＯＬＵＴＩＯＮＳＯＦＰＢＶＰＦＯＲＩＮＴＥＧＲＯ－ＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＺＨＵＡＮＧＷａｎ；ＣＨＥＮＹｕｂｏ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｄｏｎｇＮｏｒｍａｌＵｎｉｖｅｒｓ...

关键词： Integro-differential equations periodic boundary value problems generalizedsolutions, monotone iteration imbedded theorem topological degree.

PBVP of Integrodifferential Equations with Carathéodory Functions

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Acta Mathematica Sinica,English Series 1998年第4期14卷 463-472页

作者： Zhuang Wan chen Yubo, department of mathematics, shandong Normal university, jinan 250014, china department of mathematics Shandong Normal University 250014 Jinan China

We study the periodic boundary value problems for nonlinear integro-differential equa- tions of Volterra type with Carathéodory functions. For two situations relative to lower and upper solutions α and β:αβ or β α, the existence of solutions and the monotone iterative method for establishing extreme solutions are considered.

关键词： Integrodifferential equations Periodic boundary value problems Carathéodory conditions Lower and upper solutions Sobolev spaces Topological degree

ANALYSIS OF AN OPEN-ENDED COAXIAL LINE SENSOR FOR BILAYERED BIOLOGICAL DIELECTRICS MEASUREMENT

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Chinese Journal of Biomedical Engineering(English Edition) 1994年第3期3卷 109-120页

作者： Kang Li Gangwu chen Zhong Ji(department of Electronics, shandong university, jinan, 250100,china) Wentian Xu(department of mathematics, shandong university, jinan, 250100,china)

This paper presents an analysis of an open-ended coaxial line sensor usedfor the dielectric propertty measurement or the bilayered biological tissues in vivo withwhich an analytical expression or sensor's fringing capacitances is derived. According tothis formula, an euquivalent circuit model of the open-ended coaxial line sensor is builtand a measurement method is designed for determining the dielectric properties or thebilayered materials. The theoretical results are compared with the experiment results,and it is shown that there is a good agreement between them.

关键词： dielectric property in vivo measurement

IMPLICIT—EXPLICIT MULTISTEP FINITE ELEMENT METHODS FOR THE SEMICONDUCTOR DEVICE PROBLEM

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Journal of Systems Science & Complexity 2003年第1期16卷 101-103页

作者： chenWei departmentofEconomics ShandongUniversityJinan250100AcademyofMathematicsandSystemsScienceChineseAca

The transient behavior of a semiconductor device consists of a Poisson equation for the electric potential and of two nonlinear parabolic equations for the electron density and hole *** electric potential equation is discretized by the finite element *** electron and hole density equations are treated by implicit-explicit multistep finite element *** optimal L^2-norm error estimates are derived.

关键词：半导体有限元方法泊松方程非线性抛物方程电位电荷密度

STUDIES　ON　THE　AGGRESGATION　BEHAVIOUR　OF　A　SIDE－CHAIN　LIQUID　CRYSTALLINE　POLYMER　IN　LANGMUIR－BLODGETT　FILMS

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Chinese Chemical Letters 1996年第4期7卷 371-374页

作者： Xiao chen Qing Bin XUE KongZhang YANG and Qi Zhen ZHANG(Institute of Colloid and Interface Chemistry, shandong university, jinan, 2501OO)(￣+department of Chemistry, shandong university, jinan, 250100) Inst. of Colloid and Interface Chem. Shandong University Jinan 250100 department of Chemistry Shandong University Jinan 250100

be aggregation behavior of a side chain liquid crystaline polymer (PSLC) has been investigated by means of surface pressure-area isotherm, TEM and SEM observation X-ray diffraction, and UV-vis spectroscopy. Resulte o... 详细信息

关键词： SIDE CHAIN AGGRESGATION BEHAVIOUR CRYSTALLINE FILMS LANGMUIR LIQUID OF POLYMER