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Cardinal invariants associated with Fubini product of ideals

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Science china mathematics 2010年第2期53卷 425-430页

作者： HONG JianYong & zhang ShuGuo College of mathematics, sichuan university, chengdu 610064, china 1. College of mathematics Sichuan University Chengdu 610064 China

We prove some results displaying the relationship between Fubini product of ideals and its factor ideals, and study a partial order using the cardinal invariant of the continuum. The relationships among transitive car... 详细信息

关键词： cardinal invariant continuum Fubini product

Variational minimizing parabolic and hyperbolic orbits for the restricted 3-body problems Dedicated to my Teacher Professor Yang Wannian on the Occasion of his 75th Birthday

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Science china mathematics 2012年第4期55卷 721-725页

作者： zhang ShiQing Department of mathematics and Yangtze Center of mathematics,sichuan university,chengdu 610064,china 1. Department of mathematics and Yangtze Center of mathematics Sichuan University Chengdu 610064 China

Using variational minimizing methods,we prove the existence of the odd symmetric parabolic or hyperbolic orbit for the restricted 3-body problems with weak forces.

关键词： restricted 3-body problems variational minimizers odd parabolic orbits odd hyperbolic orbits

Additive characters and orthogonal systems of polynomials in several indeterminates over residue class rings

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Chinese Science Bulletin 1998年第4期43卷 275-277页

作者： HONG Shaofang Department of mathematics, sichuan university, chengdu 610064, china Department of Matherrratics Sichuan University Chcngdu China

Let m, n and k be positive integers, m>1 and k≤n . Let Z m =Z/ m Z denote the residue class ring modulo m . Let Z denote the group of additive characters of ring Z m , x 0 denote the identity of Z . A necessary and sufficient condition for the system f\-1, ..., f\-k∈ Z m [ x\-1, ..., x\-n ] to be orthogonal is given: for all additive characters ψ 1, ..., ψ k ∈Z with ψ i≠x 0 for some i, 1≤i≤k, ∑(c\-1, ..., c\-n)∈ Z n m ψ(f\-1(c\-1, ..., c\-n))...ψ k(f\-k(c\-1, ..., c\-n))=0. As corollaries, the result of Shiue_Sun_zhang and the result of Sun are obtained.

关键词： orthogonal system additive character permutation polynomial Jacobi matrix.

FUZZY PRETOPOLOGICALSPACES, AN EXTENSIONALTOPOLOGICAL EXTENSION OF FTS

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Chinese Annals of mathematics,Series B 1999年第3期20卷 309-316页

作者： zhang DEXUE(Department of mathematics, sichuan university, chengdu 610064, china.)(Project supported by the National Natural Science Foundation of china.) sichuan Univ Dept Math Chengdu 610064 Peoples R China

The category of fuzzy pretopological spaces is introduced, and it is proved that this category is a well-fibred extensional topological construct, and it is a finally dense extension of the category of fuzzy topological spaces. Moreover this category contains both the category of pretopological spaces and the category of probabilistic neighbourhood spaces as simultaneously bireflective and bicoreflective full subcategories.

关键词： Fuzzy topological spaces Fuzzy pretopological spaces Extensional topological category

On the Reflectivity and Coreflectivity of L-Fuzzifying Topological Spaces in L-Topological Spaces

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Acta Mathematica Sinica,English Series 2002年第1期18卷 55-68页

作者： zhang De Xue Department of mathematics. sichuan university, chengdu 610064. P. R. china Department of mathematics Sichuan University Chengdu P. R. China

In this paper it is proved that for all completely distributive lattices L. the category of L-fuzzifying topological spaces can be wmbedded in the category of L-topological spaces (stratified Chang-Goguen spaces) as a... 详细信息

关键词： L-topological space L-fuzzifying topological space Topological category Reflective subcategory Coreflective subcategory

Approximate solutions to infinite dimensional LQ problems over infinite time horizon

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Science china mathematics 2006年第7期49卷 865-876页

作者： PAN Liping, zhang Xu & CHEN Qihong School of Mathematical Sciences, Fudan university, Shanghai 200433, china School of mathematics, sichuan university, chengdu 610064, china Department of Applied mathematics, Shanghai university of Finance & Economics, Shanghai 200433, china School of Mathematical Sciences Fudan University Shanghai 200433 China School of mathematics Sichuan University Chengdu 610064 China Department of Applied mathematics Shanghai University of Finance & Economics Shanghai 200433 China

This paper is addressed to develop an approximate method to solve a class of infinite dimensional LQ optimal regulator problems over infinite time horizon. Our algorithm is based on a construction of approximate solutions which solve some finite dimensional LQ optimal regulator problems over finite time horizon, and it is shown that these approximate solutions converge strongly to the desired solution in the double limit sense.

关键词： approximate solution LQ problem infinite dimensional infinite time hori-

LOW ORDER NONCONFORMING RECTANGULAR FINITE ELEMENT METHODS FOR DARCY-STOKES PROBLEMS

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Journal of Computational mathematics 2009年第Z1期 400-424页

作者： Shiquan zhang School of mathematics,sichuan university,chengdu 610064,china Xiaoping Xie Yangtze Center of mathematics and School of mathematics,sichuan university,chengdu 610064,china Yumei Chen School of mathematics,sichuan university,chengdu 610064,china College of mathematics and Information,china West Normal university,Nanchong 637002,china

In this paper,we consider lower order rectangular finite element methods for the sin-gularly perturbed Stokes *** model problem reduces to a linear Stokes problemwhen the perturbation parameter is large and degenerates to a mixed formulation of Pois-son’s equation as the perturbation parameter tends to *** propose two 2D andtwo 3D nonconforming rectangular finite elements,and derive robust discretization *** experiments are carried out to verify the theoretical results.

关键词： Darcy-Stokes problem Finite element Uniformly stable

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

Cartesian closedness of categories of completely distributive lattices

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Chinese Science Bulletin 1998年第24期43卷 2059-2063页

作者： zhang Dexue 1 and YANG Zhongqiang 2 1. Department of mathematics, sichuan university, chengdu 610064, china 2. Department of mathematics, Shaanxi Normal university, Xi’an 710062, china Department of mathematics Sichuan University Chengdu China Department of mathematics Shaanxi Normal University Xi’an China

The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category ... 详细信息

关键词： completely distributive lattice continuous lattice cartesian closedness.