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MULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONSWITH LIPSCHITZIAN CONDITIONMULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONS WITH LIPSCHITZIAN CONDITION

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Chinese Annals of mathematics,Series B 2000年第4期21卷 479-488页

作者： wang ZAIHONG (department of {2., Capital normal university, beijing 100037, china.) department of mathematics Capital Normal University Beijing 100037 China

This paper deals with the existence and multiplicity of periodic solutions of Duffing equations x + g(x) = p(t). The author proves an infinity of periodic solutions to the periodically forced nonlinear Duffing equations provided that g(x) satisfies the globally lipschitzian condition and the time-mapping satisfies the weaker oscillating property.

关键词： Periodic solution Time mapping Poincare-Birkhoff twist theorem

Multi-parameter infinite-dimensional(r,δ)-OU process

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Chinese Science Bulletin 1999年第5期44卷 418-423页

作者： wang ZikunInstitute of mathematics, Shantou {2., Shantou 515063, china department of mathematics, beijing normal university, beijing 100875, china Institute of mathematics Shantou University Shantou China department of mathematics Beijing Normal University Beijing China

The definition of n-parameter infinite-dimensional (r, δ) -Ornstein-Uhlenbeck process {X_t (·)}((r,δ)-OUP_n~∞ for short) is given. The absolute continuity of distribution μ_t of X_t(·) and the limit of X_t(·) w... 详细信息

关键词： multi-parameter (r δ)-OUPn∞ absolute continuity in hierarchy.

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 {2., Harbin Institute Technology, Harbin 150001, china 2. department of {2., 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.

Constraints on Cardassian universe from Gamma ray bursts

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Science china(Physics,Mechanics & Astronomy) 2010年第9期53卷 1720-1725页

作者： wang TaiShan1 & LIANG Nan2.1 department of Physics & Center for Astrophysics,Tsinghua {2.,beijing 100084,china 2.department of Astronomy,beijing normal {2.,beijing 100875,china 1. department of Physics & Center for Astrophysics Tsinghua University Beijing 100084 China2. Department of Astronomy Beijing Normal University Beijing 100875 China

Constraints on the original Cardassian model and the modified polytropic Cardassian model are examined from the recently derived 42.gamma-ray bursts(GRBs) data calibrated with the method that can avoid the circularity *** results show that GRBs can be an optional observation to constrain the Cardassian *** the GRBs data with the newly de-rived size of baryonic acoustic oscillation peak from the Sloan Digital Sky Survey(SDSS),and the position of the first acoustic peak of the Cosmic Microwave Background radiation(CMB) from Wilkinson Microwave Anisotropy Probe(WMAP),we find Ωm0=0.2.+0.02.0.02.n=0.06+0.07-0.08(1σ) for the original Cardassian model,and Ωm0=0.2.+0.2.-0.02.n=-0.09+0.2.-1.91,β=0.82.2.10-0.62.1σ) for the modified polytropic Cardassian model.

关键词： Cardassian Gamma ray burst Cosmic Microwave Background baryonic acoustic oscillation

Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L_q(R^d)

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Acta Mathematica Sinica,English Series 2001年第2期17卷 305-312页

作者： He Ping wang department of {2., Capital normal university. beijing, 100037, P. R. china department of mathematics Capital Normal University Beijing 100037 P. R. China

In this paper, the average σ-K width of Sobolev-Wiener classes Spqr W with mixed smooth- ness in Lq（Rd） is studied for 1

关键词： Sobolev-Wiener classes with mixed smoothness Average σ-K width Step hyperbolic crosses

Note on the number of integral ideals in Galois extensions

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Science china mathematics 2010年第9期53卷 2417-2424页

作者： L GuangShi1,& wang YongHui2.1School of mathematics,Shandong {2.,Jinan 2.0100,china 2.4} of mathematics,Capital normal {2.,beijing 100048,china 1. School of mathematics Shandong University Jinan 250100 China2. Department of Mathematics Capital Normal University Beijing 100048 China

Let K be an algebraic number field of finite degree over the rational filed *** ak be the number of integral ideals in K with norm *** this paper we study the l-th integral power sum of ak,i.e.,∑k≤ x akl(l = 2.3,...).We are able to improve the classical result of Chandrasekharan and *** an application we consider the number of solutions of polynomial congruences.

关键词： Dedekind zeta-function integral ideal congruences

Facile Surface Engineering of NiCo_(2.O_(4) to Boost Propane Oxidation Activity

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china Petroleum Processing & Petrochemical Technology 2024年第1期26卷 19-26页

作者： Yang Jialei wang Fengyi Lei Yang Zhang Mingchao Sun shiqiang Xu Wenfan Ke Jiaxiang Wu Haojie Li Xingyun Qi Jian Institute of Materials for Energy and Environment College of Materials Science and EngineeringQingdao UniversityQingdao 266071China School of Chemistry and Chemical Engineering Hubei Key Laboratory of Coal Conversion and New Carbon MaterialsWuhan University of Science and TechnologyWuhan 430081China department of Burn and Plastic Surgery Qingdao Municipal Hospital Affiliated to Rehabilitation UniversityQingdao 266000China State Key Laboratory of Biochemical Engineering Institute of Process EngineeringChinese Academy of SciencesBeijing 100190China

Spinel oxide(NiCo_(2.O_(4))has demonstrated great potential to replace noble metal catalysts for the oxidation reaction of air *** further boost the oxidation ability of such catalysts,in this study,a facile surface-engineering strategy wherein NiCo_(2.O_(4) was treated with different alkali solvents was *** obtained catalyst(NiCo_(2.O_(4)-OH)showed a higher surface alkalinity and more surface defects compared to the pristine spinel oxide,including enhanced structural distortion as well as promoted oxygen *** propane oxidation ability of NiCo_(2.O_(4)-OH was greatly enhanced,with a propane conversion rate that was approximately 6.4 times higher than that of pristine NiCo_(2.O_(4) at a reaction temperature 193℃.This work sets a valuable paradigm for the surface modulation of spinel oxide via alkali treatment to ensure a high-performance oxidation catalyst.

关键词： NiCo_(2.O_(4) surface defects alkali treatment propane oxidation

Characterization for commutators of n-dimensional fractional Hardy operators

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Science china mathematics 2007年第10期50卷 1418-1426页

作者： Zun-wei FU~(1,2. Zong-guang LIU~3 Shan-zhen LU~(1+) Hong-bin wang~3 ~1 School of Mathematical Sciences,beijing {2. university,beijing 100875,china ~2.department of mathematics,Linyi {2. university,Linyi 2.6005,china ~3 department of mathematics,china university of Mining and Technology (beijing),beijing 100083,china 1. School of Mathematical Sciences Beijing Normal University Beijing 100875 China 2. department of mathematics Linyi Normal University Linyi 276005 China 3. department of mathematics China University of Mining and Technology (Beijing) Beijing 100083 China

In this paper,it was proved that the commutator H_(β,b)generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from L^(p1)(R^n)to L^(p2.(R^n)if and only if b is a CMO(R^... 详细信息

关键词： n-dimensional fractional Hardy operator, commutator, C(M)O function, homogeneous Herz space

Solvation effects on brain uptakes of isomers of ^(99m)Tc brain imaging agents

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Chinese Science Bulletin 2002年第21期47卷 1786-1791页

作者： JIA Hongmei, MA Xiaohui, wang Cunxin & LIU Boli1. department of Chemistry,{2., beijing 100875, china 2. Center for Biomedical Engineering, beijing Polytechnic university, beijing 10002., china 1. department of Chemistry Beijing Normal University Beijing 100875 China 2. Center for Biomedical Engineering Beijing Polytechnic University Beijing 100022 China

Analysis of electrostatic hydration free energies of the isomers of the 99mTc-BAT and 99mTc-DADT complexes is carried out using the computer simulation technique. The results show that not only a correlation exists between the logarithm of the brain uptake and the electrostatic hydration free energy for the isomers of 99mTc-brain radiopharmaceu-ticals, but also a linear relationship exists between the logarithm of the ratio of the brain uptake of the syn isomer to that of the anti one and the difference between the electrostatic hydration free energy of the syn-isomer and that of the anti one. Furthermore, the investigation on the important factors influencing the brain uptakes of 99mTc-radiophar-maceuticals and the reasons of the different biodistribution of the isomers of the 99mTc-complexes is explored at the molecular level. The results may provide a reference for the rational drug design of brain imaging agents.

关键词： 99mTc-brain imaging agent isomer brain uptake electro-static hydration free energy.