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Upper Semicontinuity of Parametric Lexicographic Vector Equilibrium Problems

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Acta Mathematicae Applicatae Sinica 2018年第4期34卷 856-862页

作者： z.i-miao fang Sheng-jie LI Department of Basic Course Chongqing Police College Chongqing 401331 China College of Mathematics and Statistics Chongqing University Chongqing 401331 China

In this paper, lexicographic vector equilibrium problems are investigated. By using the idea of sequential process, the upper semicontinuity and closedness of the solution set map are established for a parametric lexi... 详细信息

关键词： lexicographic vector equilibrium problem upper semicontinuity closedness

Optimal Quadrature Problem on n-Information for Hardy-Sobolev Classes

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Acta Mathematica Sinica,English Series 2011年第12期27卷 2371-2378页

作者： Xue Hua LI Gen Sun fang College of Science China Agricultural University Beijing 100083 P. R. China School of Mathematical Sciences Beijing Normal University Beijing 100875 P. R. China

For β 〉 0 and an integer r 〉 2, denote by H∞,β those 2π-periodic, real-valued functions f on R, which are analytic in Sβ = {z.∈ C： [Imz. 〈β} and satisfy the restriction If（r）（z.[ ≤ 1, z.∈ Sβ. The optimal quadrature formulae about information composed of the values of a function and its kth （k ： 1,..., r - 1） derivatives on free knots for the classes H∞,β are obtained, and the error estimates of the optimal quadrature formulae are exactly determined.

关键词： Hardy-Sobolev class analytic function optimal quadrature formula n-information

Periodic points and normal families concerning multiplicity

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Science China Mathematics 2019年第3期62卷 535-552页

作者： Bingmao Deng Mingliang fang Yuefei Wang Institute of Applied Mathematics South China Agricultural University Academy of Mathematics and Systems Science Chinese Academy of Sciences School of Mathematical Sciences University of Chinese Academy of Sciences

In 1992,Yang Lo posed the following problem:let F be a family of entire functions,let D be a domain in C,and let k 2 be a positive ***,for every f∈F,both f and its iteration f^khave no fixed points in D,is F normal in D?This problem was solved by Ess′en and Wu in 1998,and then solved for meromorphic functions by Chang and fang in *** this paper,we study the problem in which f and f^(k ) have fixed *** give positive answers for holomorphic and meromorphic functions.(I)Let F be a family of holomorphic functions in a domain D and let k 2 be a positive ***,for each f∈F,all z.ros of f(z.-z.are multiple and f^khas at most k distinct fixed points in D,then F is normal in *** show that the conditions"all z.ros of f(z.-z.are multiple"and"f^k having at most k distinct fixed points in D"are the best possible.(II)Let F be a family of meromorphic functions in a domain D,and let k 2 and l be two positive integers satisfying l 4 for k=2 and l 3 for k ***,for each f∈F,all z.ros of f(z.-z.have a multiplicity at least l and f^khas at most one fixed point in D,then F is normal in *** show that the conditions"l 3for k 3"and"f^k having at most one fixed point in D"are the best possible.

关键词： normality iteration periodic points

Purification, Biological Activities, and Molecular Cloning of a Novel Mannose-Binding Lectin from Bulbs of z.phyranthes candida Herb （Amaryllidaceae）

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Journal of Integrative Plant Biology 2006年第2期48卷 223-231页

作者： Chuan-fang Wu Jian Li Jie An Li-Qing Chang fang Chen Jin-Ku Bao College of Life Sciences Sichuan University Chengdu 610064 China

A novel mannose-bindlng aggiutinln was purified from bulbs of z.phyranthes candida Herb by extraction, precipitation with 80% （NH4）2SO4, and ion-exchange chromatography on DEAE-Sepharose followed by gel flitration on Sephscryl S-100. The purified z. candida agglutlnln （z.A） migrated as a single band of 12 kDa on sodium dodecyi suifate-poiyecryiamide gel electrophoresis under reducing and non-reducing conditions. The apparent molecular mass of the iectln, as datermlned by gel filtration chromatography, was 48 kDa. The results Indicated that z.A was composed of four Identical subunlts of 12 kDa each （homotetramerlc nature）. The z.A agglutlhated rabbit erythrocytes, Escherichla coil and Saccharomyces cerevislae ceils at concentrations of 0.95, 1.90, and 31.30 μg/mL, respectively. Bloassays Indicated that z.A has a significant effect on wheat aphid survival. Mortality after 7 d was 〉 90% at 0.26%. A degenerate primer was designed In accordance with the N-terminal partial sequence of purified z.A. The full-length cDNA was cloned by 3＇- and 5＇-rapid amplification of cDNA ends. The full-length cDNA had 661 bp and the sequence encoded an open reading frame of 168 amino acids. The mature protein of z.A Includes 109 amino acid residues and the molecular weight of the protein was 12.1 kDa. The result show that the z.a gene encodes a protein precursor with a signal peptlde, a mature protein, and a C-terminal cleavage amino acids sequence. Molecular modeling of z.A Indicated that Its three-dimensional atructure strongly resembies that of the snowdrop aggiutinin. Blocks＇ analysis revealed that the deduced amino acid sequence of z.A has three functional domains specific for agglutination and three carbohydrate binding boxes （QDNY）.

关键词： agglutinating activity insecticidal activity molecular clone sequence analysis z.phyranthes candida agglutinin.

On the Well-Posedness for Stochastic Schrodinger Equations with Quadratic Potential

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Chinese Annals of Mathematics,Series B 2011年第5期32卷 711-728页

作者： Daoyuan fang Linz. z.ANG Ting z.ANG Department of Mathematics Zhejiang University Hangzhou 310027 China Corresponding author. Department of Mathematics Zhejiang University Hangzhou 310027 China Corresponding author. Department of Mathematics Zhejiang University Hangzhou 310027 China Corresponding author. Department of Mathematics Zhejiang University Hangzhou 310027 China Corresponding author. Department of Mathematics Zhejiang University Hangzhou 310027 China Corresponding author. Department of Mathematics Zhejiang University Hangzhou 310027 China Corresponding author. Department of Mathematics Zhejiang University Hangzhou 310027 China

The authors investigate the influence of a harmonic potential and random perturbations on the nonlinear Schr6dinger equations. The local and global well-posedness are proved with values in the space ∑（R^n）={f E HI（R^n）, ｜·｜f ∈ L^2（R^n）}. When the nonlinearity is focusing and L2-supercritical, the authors give sufficient conditions for the solutions to blow up in finite time for both confining and repulsive potential. Especially for the repulsive case, the solution to the deterministic equation with the initial data satisfying the stochastic blow-up condition will also blow up in finite time. Thus, compared with the deterministic equation for the repulsive case, the blow-up condition is stronger on average, and depends on the regularity of the noise. If φ = 0, our results coincide with the ones for the deterministic equation.

关键词： Stochastic SchrSdinger equation Well-posedness Blow up

Novel method for determining stacking disorder degree in hexagonal graphite by X-ray diffraction

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Science China Chemistry 2009年第2期52卷 174-180页

作者： LI Hui YANG Chuanz.eng LIU fang Shanghai Shanshan Tech.Co. Ltd.Shanghai 201209China Shanghai Institute of Micro-system and Information Technology Chinese Academy of SciencesShanghai 200050China

The broadening effect of stacking disorder in hexagonal graphite is found experimentally by XRD to be identical to that of stacking faults in hexagonal-closed-packing(HCP) structure,which has obvious selective broadening *** Langford's method for dealing with the twofold broadening effects of the crystallite-faults in hexagonal z.O has been extended in this paper,and then applied to the deter-mination of stacking disorder in 2H-graphite,which indicates that our extension method is convenient to both the experiments and data process,and may be generaliz.d *** stacking disorder model in 2H-graphite and data processing method have been proposed in this *** two disorder degrees of PAB and PABC can be computed when the two reliable FWHMs of 101 and 102 diffraction peaks were obtained.

关键词： stacking disorder graphite X-ray diffraction fault broadening effect

Toward an integrated framework for geosensor grid

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International Journal of Digital Earth 2010年第2期3卷 207-216页

作者： z.ou Huang Yu fang Mao Pan Institute of Remote Sensing&GIS Peking UniversityBeijingP.R.China Key Laboratory of Orogenic Belts and Crustal Evolution Ministry of EducationPeking UniversityBeijingP.R.China

Grid computing is deemed as a good solution to the digital earth *** geographically dispersed geospatial resources can be connected and merged into a‘supercomputer’by using the grid-computing *** the other side,geosensor networks offer a new perspective for collecting physical data dynamically and modeling a real-time virtual *** geosensor networks and grid computing in geosensor grid can be compared to equipping the geospatial information grid with‘eyes’and‘ears.’Thus,real-time information in the physical world can be processed,correlated,and modeled to enable complex and advanced geospatial analyses on geosensor grid with capability of high-performance *** are several issues and challenges that need to be overcome before geosensor grid comes *** this paper,we propose an integrated framework,comprising the geosensor network layer,the grid layer and the application layer,to address these design *** technologies of the geosensor grid framework are ***,a geosensor grid testbed is set up to illustrate the proposed framework and improve our geosensor grid design.

关键词： geosensor networks grid computing digital earth GIS supercomputer

Design, Synthesis and Biological Activity of Novel Chalcone Derivatives as Anti-influenz. Agents

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Chemical Research in Chinese Universities 2016年第1期32卷 28-34页

作者： SHI fangyuan fang Hao XU Wenfang Department of Medicinal Chemistry School of Pharmaceutical Sciences Shandong University Jinan 250012 P. R. China

A series of novel chalcone derivatives was designed and synthesiz.d via a suitable synthetic strategy in good yields using commercially available 2-amino-4-nitrophenol as an initiator. The structures of the target compounds were confirmed by means of IH NMR, 13C NMR and high-resolution mass spectrometry（HRMS）. And the ability of the target compounds to inhibit influenz. viruses was evaluated. These compounds showed moderate inhi- bitory activity against influenz. A（H9N2 and H5NI） viruses. Within this series, compounds S14 and S15 with good potency（IC50=40.3--51.5 μmol/L） could be used as lead compounds in the future.

关键词： Influenz. virus Inhibitor Chalcone Biological activity

Seasonal characteristics of internal tides and their responses to background currents in the Luz.n Strait

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Acta Oceanologica Sinica 2015年第11期34卷 46-54页

作者： fang Yong HOU Yijun JING z.iyou State Key Laboratory of Tropical Oceanography (LTO) South China Sea Institute of Oceanology Chinese Academy of Sciences Key Laboratory of Ocean Circulation and Waves (KLOCAW) Institute of Oceanology Chinese Academy of Sciences

The spatial-temporal characteristics of internal tides （ITs） in the southwest Luz.n Strait are examined, based on 9-month mooring current records from autumn 2008 to summer 2009. The results of spectral analysis show that the ITs in diurnal and semidiurnal frequencies are prominent at the mooring site, especially for the clockwise rotary component. The diurnal ITs are mostly dominated by the first mode except for that in spring when the second mode is relatively predominant. The semidiurnal ITs display a variable multimodal structure. Moreover, an apparent difference is detected in the kinetic energy of diurnal ITs. The energy is strongest in winter, and followed by that in summer, whereas the value is smallest in spring and autumn. It is suggested that the incoherent motions are responsible for the significant seasonal variations of diurnal ITs, reflecting interaction between diurnal ITs and the varying background conditions. However, the semidiumal ITs are independent of seasonal change, whose energy is smaller and only one-third of the diurnal energy in winter. Nevertheless, the abnormal variations of semidiurnal ITs are also related to the variable background conditions. The incoherent semidiurnal constituent accounts for about 37% of the total semidiurnal tidal kinetic energy, but the diurnal tidal motions contain fewer incoherent component （22.2%）.

关键词： internal tide seasonal variation background current Luz.n Strait