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Characteristic modules of quasi-hereditary algebras with three samples

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Chinese Science Bulletin 1997年第6期42卷 450-454页

作者： ZHANG Pu and LIN Yanan1. department of mathematics, {2. of Science and Technology of china, Hefei 2.002., china 2. department of mathematics, xiamen university, xiamen 3.1005, china department of mathematics University of Science and Technology of China Hefei China department of mathematics Xiamen University Xiamen China

CLINE et al. have introduced the concept of quasi-hereditary algebra, which provided a

关键词： tilting module characteristic module quasi-hereditary algebra.

Maximal possible accretion rates for slim disks

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Science china(Physics,Mechanics & Astronomy) 2009年第12期52卷 2054-2058页

作者： LIN YiQing1 & JIAO ChengLiang2.1 department of mathematics and Physics,{2. university of Technology,{2. 36102.,china 2.department of Physics and Institute of Theoretical Physics and Astrophysics,{2. university,{2. 3.1005,china department of mathematics and Physics Xiamen University of Technology Xiamen China department of Physics and Institute of Theoretical Physics and Astrophysics Xiamen University Xiamen China

It was proved in the previous work that there must be a maximal possible accretion rate $ \dot M_{max} $ for a slim disk. Here we discuss how the value of $ \dot M_{max} $ depends on the two fundamental parameters of the disk, namely the mass of the central black hole M and the viscosity parameter α. It is shown that $ \dot M_{max} $ increases with decreasing α, but is almost independent of M if $ \dot M_{max} $ is measured by the Eddington accretion rate $ \dot M_{Edd} $ , which is in turn proportional to M.

关键词： accretion disks black hole physics hydrodynamics

Some equalities and inequalities of g-continuous frames

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Science china mathematics 2010年第10期53卷 2621-2632页

作者： XIAO XiangChun & ZENG XiaoMing department of mathematics,{2. university,{2. 3.1005,china department of mathematics Xiamen University Xiamen China

In this paper,we derive some equalities and inequalities about g-continuous frames,which are an extension to g-frames and continuous *** also discuss the stability of the perturbation of a g-continuous frame.

关键词： g-continuous frame Parseval g-continuous frame frame operator

Bochner-Martinelli formula with discrete holomorphic kernel

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Chinese Science Bulletin 1997年第6期42卷 447-450页

作者： LIN LiangyuInstiture of mathematics, xiamen university,{2., china Institute of mathematics Xiamen University Xiamen China

IT is well known that it is impossible to construct an integral representation of holomorphic functions with holomorphic kernel for the general bounded domain. In this note we establish a global integral formula of Bochner-Martinelli type with discrete holomorphic kernels; this formula may be applied to solving (?)-equation and singular integral equations.

关键词： Bochner-Martinelli formula bounded domain discrete kernels.

REMOVABLE EARS OF 1-EXTENDABLE GRAPHS

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Journal of Systems Science & Complexity 2010年第2期23卷 372-378页

作者： Shaohui ZHAI Xiaofeng GUO department of mathematics and Physics Xiamen University of Technology Xiamen 361024 China. School of Mathematical Sciences Xiamen University Xiamen 361005 China.

Carvalho, Lucchesi and Murty proved that any 1-extendable graph G different from K2.and C2. has at least A（G） edge-disjoint removable ears, and any brick G distinct from K4 and C6 has at least A（G） - 2.removable edges, where A（G） denotes the maximum degree of G. In this paper, we improve the lower bounds for numbers of removable ears and removable edges of 1-extendable graphs. It is proved that any 1-extendable graph G different from K2.and C2. has at least x′（G） edge-disjoint removable ears, and any brick G distinct from Ka and Ce has at least x′（G） - 2.removable edges, where x′（G） denotes the edge-chromatic number of G. Key words 1-extendable graphs, removable ear, removable edge.

关键词： 1-extendable graphs removable ear removable edge.

Uniqueness and stability of solution for Cauchy problem of degenerate quasilinear parabolic equations

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Science china mathematics 2005年第5期48卷 583-593页

作者： ZHAO Junning & ZHAN Huashui department of mathematics,{2., xiamen 3.1005, china School of Science, Jimei university, xiamen 361000, china department of mathematics Xiamen University Xiamen China School of Science Jimei University Xiamen China

The uniqueness and existence of BV-solutions for Cauchy problem of the form are proved.

关键词： Cauchy problem degenerate parabolic equation uniqueness of solution.

On the Number of Fair Triangulations

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Acta Mathematica Sinica,English Series 2000年第1期16卷 79-84页

作者： Han Ren department of mathematics,{2. university,{2. 3.1005,P.R.chinaYanpei Liu department of mathematics,Northern JiaoTong university,Beijin 100044,P.R.china department of mathematics Xiamen University Xiamen 361005 P.R. China department of mathematics Northern JiaoTong University Beijin 100044 P.R. China

In this paper a special kind of triangulated maps on the sphere called fair triangulations is enumerated with the size of maps as ***,the number of several other kinds of triangulations are enumerated as well.

关键词： Map Triangulation Enumeration Lagrangian inversion

KAMENEV-TYPE OSCILLATION CRITERIA FOR DELAY DIFFERENCE EQUATIONS

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Acta Mathematica Scientia 2007年第3期27卷 574-580页

作者：程金发 department of mathematics Xiamen University

Some oscillation criteria are established by Raccati transformation techniques for the following second-order nonlinear neutral difference equation △（pn（△（Xn ＋ CnXn-τ））^γ）＋ qnX^Bn-σ = 0, n ：0, 1, 2...wh... 详细信息

关键词： Oscillation superlinear sublinear difference equations

Horizontal ∂-Laplacian on complex Finsler manifolds

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Science china mathematics 2005年第Z1期48卷 377-391页

作者： ZHONG Chunping & ZHONG Tongde School of mathematics Science, xiamen university,{2., china School of mathematics Science Xiamen University Xiamen 361005 China

A horizontal (?)-Laplacian is defined on strongly pseudoconvex complex Finsler manifolds, first for functions and then for horizontal differential forms of type (p,q). The principal part of the (?)-Laplacian is computed in local coordinates. As an application, the (?)-Laplacian on strongly Kahler Finsler manifold is obtained explicitly in terms of the horizontal covariant derivatives of the Chern-Finsler conncetion.

关键词： complex Finsler manifold Kahler Finsler manifold ■-Laplacian horizontal.