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THE EXISTENCE OF HOMOCLINIC ORBITS FOR HAMILTONIAN SYSTEMS WITH THE POTENTIALS CHANGING SIGN

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Chinese Annals of mathematics,Series B 1996年第4期17卷 403-410页

作者：费贵华南京大学数学系江苏南京

This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems -L(t)q+V′(t,q)=0 by using the critical point theory, where the potential V(t,q)=b(t)W(q) can change sign. Under a new kind of... 详细信息

关键词： Homoclinic orbit Critical point theory Hamiltonian system

Bifurcation and Chaotic Dynamics of Homoclinic Systems in R^3

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Acta Mathematica Sinica,English Series 1995年第2期11卷 128-136页

作者： Sun Jianhua department of mathematics nanjing university nanjing, 210008 china

We consider perturbations which may or may not depend explicitly on time for the three-dimensional homoclinic systems. We obtain the existence and bifurcation theorems for transversal homoclinic points and homoclinic ... 详细信息

关键词： Bifurcation and Chaotic Dynamics of Homoclinic Systems in R~3

Automorphisms of Infinite Dimensional Lie Algebras of Cartan Type

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Acta Mathematica Sinica,English Series 1997年第2期13卷 155-160页

作者： Jin Ning (department of mathematics,nanjing university,nanjing 210008,china) 南京大学数学系江苏南京

In this paper it is proved that any automorphism of an infinite dimensional Lie algebra of Cartan type over an algebraically closed field of characteristic p>2 can be induced from an automorphism of the associated div... 详细信息

关键词： Lie algebra of Cartan type Automorphism Filtration

Free Quadratic Bialgebra

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Acta Mathematica Sinica,English Series 1996年第3期12卷 244-248页

作者： Hao Zhifeng, department of Applied mathematics South china university of Technology Guangzhou, 510641 chinaTong Wenting, department of mathematics nanjing university nanjing, 210008 china department of Applied mathematics South China University of Technology Guangzhou China department of mathematics Nanjing University Nanjing China

In this paper, we obtain the following main theorem for a free quadratic bialgebra J: (a) For p≠0, J is a pointed cosemisimple coalgebra. For p=0, J is a hyperalgebra. (b) For p≠0 and q≠0, J has antipode S iff p·q+2=0 and S(x)=x. Forp=0 or q=0, J has antipode and S(x)=-x. (c) All left J*-modules are rational. Also, we give some applications in homological theory and algebraic K-theory.

关键词： Free quadratic bialgebra Antipode Cosemisimple Rational module

Convolution Operators on H^p(H_k^n)

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Acta Mathematica Sinica,English Series 1997年第2期13卷 145-154页

作者： Zhou Guangcai (department of mathematics and Mechanics,Southeast university,nanjing 210018,china)Zheng Weixing (department of mathematics,nanjing university,nanjing 210008,china) department of mathematics and Mechanics Southeast University department of mathematics Nanjing University

Let G=Hkn be the（2n+1）-dimensional Heisenberg group over local field *** this paper we prove some theorems about convolution operators on HP（G）and vector-valued Hardy *** an example,the distribution ∫k*dt/|t| for some ∈S（G）,/∫=0 is a ramified 0-type *** results can be applied to characterize HP（G）spaces by square functions.

关键词： Convolution operator Heisenberg group Local field Hardy space

GLOBAL SUPERCONVERGENCE FOR A MIXED FINITE ELEMENT METHOD FOR THE WAVE EQUATION

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Systems Science and Mathematical Sciences 1999年第2期12卷 159-165页

作者： CHEN Yanping(department of mathematics, nanjing university, nanjing 210008, china)(Institute of Computer & Applied Mathmatics, Xiangtan university, Xiangtan 411105, china) 南京大学数学系江苏南京

This paper treats the lowest-order Raviart-Thomas mixed finite element method for second order hyperbolic equation. The superconvergence phenomena between the finite element solution and its elliptic projection have b... 详细信息

关键词： Global superconvergence mixed finite element method hyperbolic equation.

The Superconvergence of Mixed FiniteElement Methods for Nonlinear HyperbolicEquations

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 155-158页

作者： Yanping CHEN and Yunqing HUANG(department of mathematics. nanjing university, nanjing 210008, china)(Institute of Comp. & Appl. Math., Xiangtan university, Xiangtan 411105. china)E-mail: huangyq@*** department of mathematics Nanjing University Nanjing 210008 China Institute of Comp. and Appl. Math. Xiangtan University Xiangtan 411105 China

Improved L2-error estimates are computed for mixed finite element methods for second order nonlinear hyperbolic equations. Superconvergence results, L∞intime and discrete L2 in space, are derived for both the solutio... 详细信息

关键词： nonlinear hrperbolic equation mixed finite element methods superconvergence

PASSAGE,BLOCKADE,SINK AND SOURCE OF A PLANAR DYNAMICAL SYSTEM

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Chinese Annals of mathematics,Series B 1992年第3期13卷 257-265页

作者：叶彦谦 department of mathematics Nanjing UniversityNanjing Jiangsu 210008China.

The author defines passage,blockade,sink and source of a plane multiply-connectedregion G with respect to a smooth dynamical *** theorems on the non-existenceor existence of closed orbits,and the existence of a passag... 详细信息

关键词： passage SOURCE erior stated dynamical multiply 二忍 outer triangle shaded

Weak smash products, weak braided products and weak Hopf quantum Yang-Baxter modules

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Progress in Natural Science:Materials International 2005年第10期 25-33页

作者： ZHANG Liangyun (department of mathematics, nanjing Agricultural university, nanjing 210095, china 2. department of mathematics, nanjing university, nanjing 210008, china) department of mathematics Nanjing Agricultural University Nanjing 210095 China department of mathematics Nanjing University Nanjing 210008China

This paper mainly gives a sufficient and necessary condition for weak smash products of weak dimodule algebras to be weak bialgebras,and gives a sufficient and necessary condition for weak braided products of weak quantum Yang-Baxter module algebras to he weak bialgebras,and gives a Fundamental Theorem of weak Hopf quantum Yang-Baxter modules.

关键词： weak Hopf algebras weak smash products weak braided products weak Hopf quantum Yang-Baxter modules.