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Weight modules over some Block algebras

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science China mathematics 2009年第3期52卷 517-525页

作者： L renCai department of mathematics, {2. univ.r.ity, {2. 2.5006, China department of mathematics Suzhou University Suzhou 215006 China

In this paper, the Harish-Chandra modules and Verma modules over Block algebra $ \mathfrak{L} $ [G] are investigated. More precisely, the irreducibility of the Verma modules over $ \mathfrak{L} $ [G] is completely det... 详细信息

关键词： Block algebra weight module highest weight module Harish-Chandra module 17B10 17B65 17B68

Numerical Dynamics of Coupled System of J-JType

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Communications in Nonlinear science and Numerical Simulation 1997年第3期2卷 3-5页

作者： Wen Xin QIN (department of mathematics, {2. univ.r.ity) department of mathematics Suzhou University USA

ＮｕｍｅｒｉｃａｌＤｙｎａｍｉｃｓｏｆＣｏｕｐｌｅｄＳｙｓｔｅｍｏｆＪＪＴｙｐｅＷｅｎＸｉｎＱＩＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｕｚｈｏｕＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓ... 详细信息

ＮｕｍｅｒｉｃａｌＤｙｎａｍｉｃｓｏｆＣｏｕｐｌｅｄＳｙｓｔｅｍｏｆＪＪＴｙｐｅＷｅｎＸｉｎＱＩＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｕｚｈｏｕＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒｗｅｃｏｎｓｉｄｅｒｔｈ...

关键词： Coupled System of J J Type Global Attractor Numerical Dynamics Approximation

HYPErCYCLIC OPErATOrS ON QUASI-MAZUr SPACES

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Acta Mathematica Scientia 2010年第5期30卷 1709-1720页

作者：丘京辉 department of mathematics Suzhou University

Modifying the method of Ansari, we give some criteria for hypercyclicity of quasi-Mazur spaces. They can be applied to judging hypercyclicity of non-complete and non-metrizable locally convex spaces. For some special locally convex spaces, for example, KSthe （LF）-sequence spaces and countable inductive limits of quasi-Mazur spaces, we investigate their hypercyclicity. As we see, bounded biorthogonal systems play an important role in the construction of Ansari. Moreover, we obtain characteristic conditions respectively for locally convex spaces having bounded sequences with dense linear spans and for locally convex spaces having bounded absorbing sets, which are useful in judging the existence of bounded biorthogonal systems.

关键词： hypercyclic operator bounded biorthogonal systems quasi-Mazur space inductive limit Kothe (LF)-sequence space

EXISTENCE AND NONEXISTENCE OF GLOBAL POSITIVE SOLUTIONS FOr DEGENErATE PArABOLIC EQUATIONS IN EXTErIOr DOMAINS

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Acta Mathematica Scientia 2010年第3期30卷 713-725页

作者：曾宪忠刘振海 department of mathematics and Computational {2. Hunan University of Science and Technology department of mathematics Central South University

This article deals with the degenerate parabolic equations in exterior domains and with inhomogeneous Dirichlet boundary conditions. We obtain that pc = （σ ＋ m ）n / （ n-σ- 2.） is its critical exponent provided max{-1, [ （1- m ）n- 2. / （ n ＋ l ） } 〈 σ 〈 n- 2. This critical exponent is not the same as that for the corresponding equations with the boundary value 0, but is more closely tied to the critical exponent of the elliptic type degenerate equations. Futhermore, we demonstrate that if max（1, σ ＋ m）〈 p 〈 pc, then every positive solution of the equations blows up in finite time; whereas for p 〉 pc, the equations admit global positive solutions for some boundary values and initial data. Meantime, we also demonstrate that its positive solutions blow up in finite time provided n〈σ＋2.

关键词： Degenerate parabolic equations exterior domains -inhomogeneous dirichlet boundary conditions critical exponent blow-up global existence

Difference packing arrays and systematic authentication codes

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science China mathematics 2004年第4期47卷 566-577页

作者： YIN Jianxingdepartment of mathematics, {2. univ.r.ity, {2. 2.5006, China 1. department of mathematics Suzhou University 215006 Suzhou China

In this paper, a type of combinatorial design (called difference packing array)is proposed and used to give a construction of systematic authentication codes. Taking advantage of this construction, some new series of ... 详细信息

关键词： authentication codes, difference packing arrays, constructions.

The Abundance of Strange Attractor in the Families of Nearby Singular Diffeomorphism

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Acta Mathematica Sinica,English Series 1997年第1期13卷 90-96页

作者： Cao Yongluo (department of mathematics,{2. univ.r.ity,{2. 2.5006,China) department of mathematics Suzhou University 215006 Suzhou China

In this paper,we consider the families of nearby singular diffeomorphism and the measure of a set in the parameter space,such that for each point of the set the corresponding diffeomorphism possesses strange *** some families of one-dimensional mapping satisfying certain transversality condition,we prove that there is a positive measure set in the parameter space, such that the system in the corresponding families of nearly singular diffeomorphism has strange ***,we study the dynamics of this type of strange attractor.

关键词： Transversal homoclinic point Strange attractor The families of nearby singular dif-

Special magnetic phenomena in heavily doped La_(0.7-x)Dy_xSr_(0.3)MnO_3 system

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science China(Physics,Mechanics & Astronomy) 2008年第1期51卷 90-97页

作者： LIU Ning 1,2.,YAN GuoQing 1,3 ,CAI Zhirang 1 ,PI Li 2.,ZHANG Bei 2.&TONG Wei 2.1 department of Physics,suzhou College,suzhou 2.4000,China 2.Structure research Laboratory,univ.r.ity of science and technology of China,Hefei 2.002.,China 3 National Laboratory of Solid State Microstructures,Physics department,Nanjing univ.r.ity,Nanjing 2.0093,China 1. department of Physics Suzhou College Suzhou 234000 China 2. Structure research Laboratory University of Science and Technology of China Hefei 230026 China 3. National Laboratory of Solid State Microstructures Physics Department Nanjing University Nanjing 210093 China

The magnetism in heavily Dy doped La0.7-xDyxSr0.3MnO3(0.40≤x≤0.70)system is studied in this *** M-T relation seems to be complicated with the increase of *** sample with x=0.40,AFM behavior exists at T≤TN and M-T curves under zero field cooling(ZFC)and field cooling(FC)exhibit typical behavior of spincluster glass state above *** the sample with x=0.50,the M-T curve under ZFC exhibits a valley at a low temperature while the M-T curve under FC exhibits the negative magnetization below *** samples with x=0.60,0.70,their ZFC M-T curves are similar to that of x=0.50,but the FC M-T curves do not exhibit negative values any *** the peculiar phenomena above are well explained by Néel double-lattice model combined with M-H relation at typical *** molecular field theory fits well the negative magnetization for x=0.50.

关键词： heavily doped special magnetic phenomena double-lattice model

Lie symmetries of mechanical systems with unilateral holonomic constraints

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Chinese science Bulletin 2000年第15期45卷 1354-1358页

作者： ZHANG Yi & MEI Fengxiang1. department of Basic Courses, suzhou Institute of Urban Construction & Environmental Protection, suzhou 2.5011, China 2. department of Applied Mechanics, Beijing Institute of technology, Beijing 10008I, China department of Basic Courses Suzhou Institute of Urban Construction & Environmental Protection Suzhou China department of Applied Mechanics Beijing Institute of Technology Beijing China

In the recent twenty years, the study on the Lie symmetries and conserved quantities of constrained mechanical systems has been making great progress[1-5]. Up to now, however, all the studies are limited to the mechanical systems with ideal bilateral constraints. This note further studies the Lie symmetries of mechanical systems with unilateral holonomic constraints, and two problems of Lie symmetries for the systems are put forward and solved, i.e. finding the conserved quantity from a Lie symmetric transformation of the system and finding the corresponding Liesymmetry from an integral of the systemi ? 梛 ? Jsymmetry from an integral of the system.

关键词： analytical mechanics unilateral constraint holonomic system Lie symmetry conserved quantity.

K-uniformly rotund spaces and k-uniformly smooth spaces

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Chinese science Bulletin 1998年第2期43卷 92-95页

作者： Suyalatu 1 and WU Congxin 2.1. department of mathematics,Inner Mongolia Normal {2., Huhhot 01002., China 2. department of mathematics, Harbin Institute of technology, Harbin 150006, China department of mathematics Inner Mongolia Normal University Huhhot China department of mathematics Harbin Institute of Technology Harbin China

The conception of k_uniform smoothness (KUS) is introduced. It is the extension of the conception of uniform smoothness. It is proved that the k_uniform smoothness and Sullivan’s K_uniform rotundity (KUr) are the daul notions. X+* is a KUr space if and only if X is a KUS space, X+* is a KUS space if and only if X is a KUr space. If X is a KUS space, then X is a (K+1)US space. It is also proved that the KUS space includes the Nan’s k_strongly smooth space.

关键词： K_uniform smoothness K_uniform convexity.