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ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILE FOR NON-CONVEX SYSTEM OF ONE-DIMENSIONAL VISCOELASTIC MATERIALS WITH BOUNDARY EFFECT

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Journal of Systems Science & Complexity 2001年第4期14卷 425-437页

作者： LIU Hongxia (department of mathematics, Jinan University, Guangzhou 510632, china) PAN Tao (department of mathematics and Information Science, Guangxi University, Nanning 530004, china) 暨南大学广东广州 510632 广西大学广西南宁 530004

This paper is concerned with the asymptotic behavior of solution to the initial-boundary value problem on the half space R+ for a one-dimensional non-convex system of viscoelastic materials. The initial data has constant state at infinity and the velocity is imposed zero at the boundary x = 0. By virture of the boundary effect, the solution is expected to behave as outgoing viscous shock profile. When the initial data is suitably close to the corresponding outgoing viscous shock profile which is suitably away from the boundary, it is proved that the unique global solution exists in time and tends toward the properly shifted shock profile as the time goes to infinity. The result is given by a weighted energy method.

关键词： Viscous shock profile asymptotic stability non-convex system boundary.

Weak Periodic Solutions of Non-Newtonian Viscous Incompressible Fluids

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 56-60页

作者： Boling GUO* and Guoguang LTN** (Institute of Applied Physics and Computational mathematics, Be1Jing 100088, china) and Guoguang LTN (Graduate School of china Academy of Engineering Physics, Beijing 100088, china) + (department of mathematics, Yunnan Univ Inst. Appl. Phys. and Compl. Math. Beijing 100088 China Graduate School China Academy of Engineering Physics Beijing 100088 China department of mathematics Yunnan University Kunming 650091 China

The existence of weak periodic solution in time of non-Newtonian fluids with a time periodic forcing is established.

关键词： periodic solution weak periodic solution bipolar fluid

The Average Widths and Non-linear Widths of the Classes of Multivariate Functions with Bounded Moduli of Smoothness

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Acta Mathematicae Applicatae Sinica 2002年第4期18卷 663-674页

作者： Yong-ping Liu, Gui-qiao Xudepartment of mathematics, Beijing Normal University, Beijing 100875,.china department of mathematics, Tianjin Normal Univesity, Tianjin 300074. china department of mathematics Beijing Normal University Beijing 100875 China department of mathematics Tianjin Normal Univesity Tianjin 300074 China

The classes of the multivariate functions with bounded moduli on Rd and Td are given and their average σ-widths and non-linear n-widths are discussed. The weak asymptotic behaviors are established for the correspondi... 详细信息

关键词： Multivariate function classes average width non-linear width

SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS

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Acta Mathematica Scientia 2005年第1期25卷 152-160页

作者：徐义红刘三阳 department of mathematics Nanchang University Nanchang 330047 China Department of Applied Mathematics Xidian University Xi'an 710071China department of Applied mathematics Xidian University Xi'an 710071 China

Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike set-valued functions. Under the nearly cone-subconvexlikeness, some characterizations of the super efficiency are given in terms of scalarization and Lagrangian multipliers. Related results are generalized.

关键词： Nearly cone-subconvexlikeness convex cones super efficiency scalarization Lagrangian multipliers

Can　the　Linear　Operator　in　Physics　Cause　Chaos?

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Communications in Nonlinear Science and Numerical Simulation 1997年第2期2卷 72-75页

作者： Lixin TIAN, Zengrong LIU & Li YANG (department of mathematics and Physics, Jiangsu University of Science andTechnology, Zhenjiang, jiangsu,212013, P.R.china.) (department of mathematics, Suzhou University, Suahou,Jianagsu, 215006,P.R.china.) (Cent Dept. of mathematics and Physics Jiangsu Univ. of Sci. and Technology Zhenjiang 212013 China department of mathematics Suzhou University Suzhou 215006 China Centre of Basic Physics Univ. of Sci. and Technol. of China Hefei 230026 China

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ＣａｎｔｈｅＬｉｎｅａｒＯｐｅｒａｔｏｒｉｎＰｈｙｓｉｃｓＣａｕｓｅＣｈａｏｓ？１，２ＬｉｘｉｎＴＩＡＮ，ＺｅｎｇｒｏｎｇＬＩＵ＆ＬｉＹＡＮＧ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓａｎｄＰｈｙｓｉｃｓ，ＪｉａｎｇｓｕＵｎｉｖｅｒｓｉｔｙｏｆ...

关键词： linear operator chaos

K-Spaces Property of Product Spaces

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Acta Mathematica Sinica,English Series 1997年第4期13卷 537-544页

作者： Liu Chuan Lin Shou department of mathematics, Guangxi University, Nanning 530004,.china department of mathematics, Ningde Teachers College, Fujian 352100, china 广西大学数学系广西南宁宁德师范学院数学系福建宁德 352100

Let K be a class of spaces which are eigher a pseudo-open s-image of a metric space or a k-space having a compact-countable closed k-network. Let K′ be a class of spaces which are either a Fréchet space with a point-countable k-network or a point-G_δ k-space having a compact-countable k-network. In this paper, we obtain some sufficient and necessary conditions that the products of finitely or countably many spaces in the class K or K′ are a k-space. The main results are that Theorem A If X, Y ∈ K. Then X x Y is a k-space if and only if (X, Y) has the Tanaka’s condition. Theorem B The following are equivalent: (a) BF(w2) is false. (b) For each X, Y ∈ K′, X x Y is a k-space if and only if (X, Y) has the Tanaka’s condition.

关键词： K--space K--network Weak base Product space BF(ω2) Tanaka’s condition

About Spherical Functions on SL(2,R)

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Acta Mathematica Sinica,English Series 1997年第2期13卷 199-206页

作者： Shu Lisheng (department of mathematics,Anhui Normal University,Wuhu 241000,china)Zheng Weixing (department of mathematics,Nanjing University,Nanjing 210093,china) department of mathematics Anhui Normal University department of mathematics Nanjing University

In this paper,we will discuss some properties of the(n,m)-spherical fuctions on the Lie group G=SL(2, R),and obtain the decomposition of f in C_c^4(G)into these *** we give the Fourier inversion formula for the(n,m)-s... 详细信息

关键词： SL(2,R),(n,m)-spherical functions K-weight inversion formula

Oscillatory and Asymptotic Behaviour of Fourth Order Nonlinear Difference Equations

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Acta Mathematica Sinica,English Series 1997年第1期13卷 105-115页

作者： Yan Jurang (department of mathematics,Shanxi University,Taiyuan,030006,china)Liu Bin (department of mathematics,Hubei Normal University,Huangshi,435002,china) department of mathematics Shanxi University 030006 Taiyuan China

This paper considers a class of fourth order nonlinear difference equations Δ2（rnΔ2yn）+ f（n,yn）=0,n∈N（n0）,where f（n,y）may be classified as superlinear,sublinear,strongly super- linear and strongly *** superlinear and sublinear cases,necessary and sufficient conditions are obtained for the difference equation to admit the existence of nonoscillatory solutions with special asymptotic *** strongly superlinear and strongly sublinear cases,sufficient conditions are given for all solutions to be oscillatory.

关键词： Nonlinear difference equation Oscillation Asymptotic behaviour.

EXISTENCE　OF　MULTIPLE　SOLUTIONS　AND　BIFURCATIONFOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS

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Systems Science and Mathematical Sciences 1995年第4期8卷 319-326页

作者： DENG Yinbin(department of mathematics,Huazhong Normal University,Wuhan 430070,china)YANG Jianfu(department of mathematics,Nanchang University,Nanchang 330047,china) department of mathematics Huazhong Normal University Wuhan 430070 China

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ＥＸＩＳＴＥＮＣＥＯＦＭＵＬＴＩＰＬＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＦＯＲＣＲＩＴＩＣＡＬＳＥＭＩＬＩＮＥＡＲＢＩＨＡＲＭＯＮＩＣＥＱＵＡＴＩＯＮＳＥＸＩＳＴＥＮＣＥＯＦＭＵＬＴＩＰＬＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＦ...

关键词： Biharmonic equation critical exponent multiple solutions bifurcation.