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Persistence of bounded solutions to degenerate Sobolev-Galpern equations

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Science China mathematics 2010年第11期53卷 2831-2846页

作者： ZHU ChangRong1 & ZHANG WeiNian2, 1School of mathematics, Chongqing university, Chongqing 400044, China 2Yangtze Center of mathematics and department of mathematics, Sichuan university, Chengdu 610064, China 1. School of mathematics Chongqing University Chongqing 400044 China2. Yangtze Center of Mathematics and Department of Mathematics Sichuan University Chengdu 610064 China

In this paper the persistence of bounded solutions to degenerate evolution equations of Sobolev-Galpern type is discussed. In order to define the evolution operator well, we study the existence and uniqueness of solutions to its linear form. On this basis we discuss exponential dichotomies of the evolution operator and give the Fredholm alternative result for bounded solutions of nonhomogeneous linear degenerate equations. This result enables us to give a condition for the persistence of bounded solutions of a general degenerate nonlinear autonomous equation under a nonautonomous perturbation.

关键词： degenerate evolution equation Sobolev-Galpern type boundedness Fredholm alternative exponential dichotomy

The decomposition of K_v into K_2 × K_5's

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Science China mathematics 2007年第10期50卷 1382-1388页

作者： Yang LI~1 Jian-xing YIN~1 Ru-cong ZHANG~2 Gen-nian GE~(2+) ~1 department of mathematics,Suzhou university,Suzhou 215006,China ~2 department of mathematics,Zhejiang university,Hangzhou 310027,China 1. department of mathematics Suzhou University Suzhou 215006 China 2. department of mathematics Zhejiang University Hangzhou 310027 China

The decomposition of the complete graph Kv into Kr×Kc's, the products of Kr and Kc,is originated from the use of DNA library screening. In this paper, we consider the case where r=2 and c = 5, and show that such a de... 详细信息

关键词： decomposition, the complete graph Kv, product graph Kr×Kc, DNA library screening

Extension of isometries on the unit sphere of l^p (Γ) space

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Science China mathematics 2010年第4期53卷 1085-1096页

作者： FANG XiNian 1,& WANG JianHua 2 1 School of mathematics and Statistics,Nanjing Audit university,Nanjing 210029,China 2 department of mathematics,Anhui Normal university,Wuhu 241000,China 1. School of mathematics and Statistics Nanjing Audit University Nanjing 210029 China2. Department of Mathematics Anhui Normal University Wuhu 241000 China

In this paper,we obtain that every isometry from the unit sphere S(l p (Γ)) of l p (Γ) (1 < p < ∞,p≠2) onto the unit sphere S(E) of a Banach space E can be extended to be a (real) linear isometry of l p (Γ) onto ... 详细信息

In this paper,we obtain that every isometry from the unit sphere S(l p (Γ)) of l p (Γ) (1 2) onto the unit sphere S(E) of a Banach space E can be extended to be a (real) linear isometry of l p (Γ) onto E,so,we give an affirmative answer to the corresponding Tingley’s problem.

关键词： isometric extension l p (Γ) space isometry 1-Lipschitz mapping

Near generalized balanced tournament designs with block sizes 4 and 5

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Science China mathematics 2009年第9期52卷 1927-1938页

作者： SHAN XiuLing1, 2 1 department of mathematics, Beijing Jiaotong university, Beijing 100044, China 2 College of mathematics and Information Science, Hebei Normal university, Shijiazhuang 050016, China department of mathematics Beijing Jiaotong University Beijing 100044 China College of mathematics and Information Science Hebei Normal University Shijiazhuang 050016 China

A near generalized balanced tournament design, or an NGBTD(k,m) in short, is a (km+1,k,k-1)-BIBD defined on a (km+1)-set V . Its blocks can be arranged into an m×(km+1) array in such a way that (1) the blocks in every column of the array form a partial parallel class partitioning V\{x} for some point x, and (2) every element of V is contained in precise k cells of each row. In this paper, we completely solve the existence of NGBTD(4,m) and almost completely solve the existence of NGBTD(5,m) with four exceptions.

关键词： near generalized balanced tournament designs frame generalized doubly resolvable packing constructions existence 05B05

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, Suzhou university) 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

On Holomorphic Automorphisms of a Class of Non-homogeneous Rigid Hypersurfaces in C^(N+1)

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Chinese Annals of mathematics,Series B 2010年第2期31卷 201-210页

作者： Qingyan WU department of mathematics,Linyi Normal university,Linyi 276005,Shandong,China department of mathematics,Zhejiang university,Hangzhou 310027,China department of mathematics Linyi Normal University Linyi 276005 Shandong China department of mathematics Zhejiang University Hangzhou 310027 China

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in CN+1 near the origin,and the connected component containing the identity transformation of al... 详细信息

关键词： Real-analytic infinitesimal CR automorphisms Rigid hypersurfaces Holomorphic automorphisms

CONVERGENCE OF VORTEX WITH BOUNDARY ELEMENT METHODS

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Journal of Computational mathematics 1997年第2期15卷 127-137页

作者： P.W. Zhang(department of mathematics, Peking university) 北京大学数学系北京

In this work, the vortex methods for Euler equations with initial boundary value problem is considered, Poisson equations are solved using boundary element methods which can be seen to require less operations to compute the velocity field from the vorticity by Chorin([6]). We prove that the rate of convergence of the boundary element schemes can be independent of the vortex blob parameters.

关键词： Math CONVERGENCE OF VORTEX WITH BOUNDARY ELEMENT METHODS Zhang

Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

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Science China mathematics 2012年第4期55卷 851-868页

作者： LI Jun 1,& HUANG NanJing 2 1 College of mathematics and Information,China West Normal university,Nanchong 637009,China 2 department of mathematics,Sichuan university,Chengdu 610064,China 1. College of mathematics and Information China West Normal University Nanchong 637009 China2. Department of Mathematics Sichuan University Chengdu 610064 China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium

ON THE CLASSIC NONHOLONOMIC DYNAMICS

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Acta Mechanica Sinica 1989年第3期5卷 253-259页

作者： Guo Zhongheng Gao Puyun~(2))(department of mathematics,Peking university) 2)At present,Dept.of mathematics,Xiantan Normal School. 1. department of mathematics Peking University Peking China

For first-order nonlinear nonholonomic systems,the present paper proves that the d-δ operations are commutative and derives the equation of motion without making use of the addition al Appell-Chetaev *** equation of ... 详细信息

关键词： nonholonomic dynamics commutativity of d-δ operations Appell-Chetaev condition Vacco dynamics