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Lie bialgebras of generalized Witt type

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science china mathematics 2006年第4期49卷 533-544页

作者： SONG Guang’ai & SU Yucai college of mathematics and information science, shandong institute of business and technology, yantai 264005, china Department of mathematics, University of science and technology of china, Hefei 230026, china Department of mathematics, Shanghai Jiaotong University, Shanghai 200240, china college of mathematics information science Shandong Institute of Business technology Yantai 264005 China Department of mathematics University of Science technology of china Hefei 230026 China Department of mathematics Shanghai Jiaotong University Shanghai 200240 China

In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W(?)W) is trivial.

关键词： Lie bialgebras, Yang-Baxter equation, Lie algebra of generalized Witt type.

Effective stability for generalized Hamiltonian systems

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science china mathematics 2004年第5期47卷 675-686页

作者： CONG Fuzhong & LI YongSchool of mathematics and information science, shandong institute of business and technology, yantai 264005, china Office of mathematics, Changchun Flight Academy of the Air Force, Changchun 130022, china Department of mathematics, Jilin University, Changchun 130012, china 1. School of mathematics and information science Shandong Institute of Business and Technology 264005 Yantai China 2. Office of mathematics Changchun Flight Academy of the Air Force 130022 Changchun China 3. Department of mathematics Jilin University 130012 Changchun China

An effective stability result for generalized Hamiltonian systems is obtained by applying the simultaneous approximation technique due to Lochak. Among these systems,dimensions of action variables and angle variables ... 详细信息

关键词： Effective stability, generalized Hamiltonian systems, Lochak's technique.

INFER OBJECTIVE FUNCTION OF GLYCEROL METABOLISM IN KLEBSIELLA PNEUMONIAE BASING ON BILEVEL PROGRAMMING

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Journal of Systems science & Complexity 2010年第2期23卷 334-342页

作者： Zhaohua GONG Yongsheng YU Enmin FENG School of mathematics and information science Shandong Institute of Business and Technology Yantai264005 China. School of Mathematical science Dalian University of Technology Dalian 116024 China.

Mathematical modelling of cellular metabolism plays an important role in understandingbiological functions and providing identification of targets for biotechnological *** paperproposes a nonlinear bilevel programming(NBP)model to infer the objective function of anaerobicglycerol metabolism in Klebsiella Pneumoniae(***)for 1,3-propanediol(1,3-PD)*** on the Kuhn-Tucker optimality condition of the lower level problem,NBP is transformedinto a nonlinear programming with complementary and slackness *** authors give the existencetheorem of solutions to *** efficient algorithm is proposed to solve NBP and its convergenceis also simply *** results reveal some interesting conclusions,e.g.,biomass productionis the main force to drive glycerol metabolism,and the objective functions,which are obtained in termof several different groups of flux distributions,are similar.

关键词： Bilevel programming Klebsiella Pneumoniae metabolism optimization model penalty method

QUENCHING PROBLEMS OF DEGENERATE FUNCTIONAL REACTION-DIFFUSION EQUATION

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Annals of Differential Equations 2006年第3期22卷 333-338页

作者： Ma Zhongtai (School of mathematics and information science, shandong institute of business and technology, yantai 264005)

This paper is concerned with the quenching problem of a degenerate functional reaction-diffusion equation. The quenching problem and global existence of solution for the reaction-diffusion equation are derived and, so... 详细信息

关键词： degenerate functional reaction-diffusion equation quenching of solution monotone method strong maximum principle

Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations

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science china mathematics 2010年第8期53卷 2045-2059页

作者： ZHENG ZuoHuan 1 & LI XiLiang 2 1 institute of Applied mathematics,Academy of mathematics and Systems science,Chinese Academy of sciences,Beijing 100190,china 2 college of mathematics and information sciences,shandong institute of business and technology,yantai 264005,chinaAbstract In this article,we aim to establish necessary and sufficient conditions that guarantee the existence of equilibria and continuous equilibria for the continuous skew-product semiflow induced by a class of 1. institute of Applied mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China2. College of Mathematics and Information Sciences Shandong Institute of Business and Technology Yantai 264005 China

non-autonomous finite-delay functional differential equations without any monotone conditions assumed.A minimal set is constructed in terms of which necessary and sufficient conditions for a continuous equilibrium to ... 详细信息

关键词： continuous equilibrium non-autonomous functional differential equations skew-product semiflows topological dynamics

Fiducial intervals of restricted parameters and their applications

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science china mathematics 2005年第11期48卷 1567-1583页

作者： LI Xinmin, LI Guoying & XU Xingzhong college of mathematics and information sciences, shandong University of technology, Zibo 255049, china Academy of mathematics and System sciences, Chinese Academy of sciences, Beijing 100800, china Department of mathematics, Beijing institute of technology, Beijing 100801, china 1. college of mathematics and information sciences Shandong University of Technology 255049 Zibo China 2. Academy of mathematics and System sciences Chinese Academy of Sciences 100800 Beijing China 3. Department of mathematics Beijing Institute of Technology 100801 Beijing China

In practice, the unknown parameters are often restricted. This paper provides a general method for constructing the fiducial intervals of the restricted parameters. Applying the general method, the fiducial intervals are constructed for the location (scale)parameters and the difference (ratio) of two locations (scales) in a location (scale) family of distributions. The frequency properties of these intervals are verified. For a variance components model, the fiducial intervals for the three parameters of common interest are obtained. Their frequency properties are investigated theoretically and computationally.

关键词： restricted parameter space,fiducial interval,frequency property,variance components

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS TO A HIGHER DIMENSIONAL PERIODIC SYSTEM WITH DELAY

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Annals of Differential Equations 2008年第4期24卷 419-426页

作者： Wu Xiaofei (School of Math. and information science, shandong institute of business and technology, yantai 264005, shandong)

In this paper, using fixed point theorem, we discuss a higher dimensional nonautonomous periodic system with delay and give some suffcient criteria for the existence and uniqueness of periodic solution. Our results ex... 详细信息

关键词： periodic solution system with delay fixed point

Research for new method for high-precision non-contact measurement of rotate speed

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微计算机信息 2008年第4期 74-76页

作者： LIU YAN ZUO CHUNCHENG ZHANG YUMEI LI LIGANG(college of Mechanical science and Engineering, Jilin University,Changchun 130025) (shandong institute of business and technology,yantai 264005)

This paper explores a kind of new method of high-precision non-contact measurement of rotate speed, to acquire data with a laser CCD displacement sensor, and separate the low-frequency signal and high-frequency noise of the signal with the small-wave multi-frequency analysis method, to pick up the frequency for the separated low-frequency signal as the Nquist sampling theorem, to get the rotate speed to be measured. The experiment has proved this measurement method has the very good feasibility and effectiveness.

关键词： Laser CCD Non-contact measurement Multi-frequency analysis Rotate speed

ALMOST AUTOMORPHIC MILD SOLUTIONS TO SOME FRACTIONAL DELAY DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2012年第4期28卷 412-416页

作者： Xiliang Li 1,Fenglong Qu 2,Yuliang Han 1(1.college of Math.and information sciences,shandong institute of business and technology,yantai 264005,shandong 2.School of Math.and informational science,yantai University,yantai 264005,shandong)

In this paper,a new and general existence and uniqueness theorem of almost automorphic mild solutions is obtained for some fractional delay differential equations,using sectorial operators and the Banach contraction p... 详细信息

关键词： sectorial operator almost automorphy fractional delay differential equation