检索结果-南通市图书馆

Cartesian closedness of categories of completely distributive lattices

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

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.

CMC surfaces in the hyperbolic 3-space

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第7期43卷 547-550页

作者： YU Zuhuan 1, 2 and LI Zhenqi 1, 3 1. Institute of mathematics, Fudan university, Shanghai 200433, china 2. department of mathematics,sichuan Union university, chengdu 610064, china 3. department of mathematics, Nanchang university, Nanchang 33 nstitute of Mathemalics Fudan University Shanghai China department of mathematics Sichuan Union University Chengdu China department of mathematics Nanchang University Nanchang China

CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.

关键词： hyperbolic space CMC surface Weierstrass representation.

Characteristic analysis for a polynomial-like iterative equation

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第3期43卷 192-196页

作者： Janusz Matkowski 1 and ZHANG Weinian 2 1. department of mathematics, Technical university, 43_300 Bielsko_Biala, Poland 2. department of mathematics, sichuan Union university, chengdu 610064, china department of mathematics Technical University Bielsko-Biala Poland department of mathematics Sichuan Union University Chengdu China

In the light of Euler’s idea for differential equations,a polynomial_like n _order iterative equation is discussed through analyzing its characteristic polynomial. An unproved result is verified rigorously for the fi... 详细信息

关键词： iterative dynamics functional equation characteristic.

APPLICATIONS OF THE THEORY OF CAMINA GROUPS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1999年第1期20卷 39-50页

作者： REN YONGCAI(department of mathematics,sichuan Union university,chengdu 610064,china) sichuan Union Univ Dept Math Chengdu 610064 Peoples R China

In this papert the author first gives a conjugacy-class version of Camina hypotheses andthen applys the Camina group theory to discussing two classes of finite groups.

关键词： Camina groups Applications Characters

TOEPLITZ OPERATORS AND ALGEBRAS ON DIRICHLET SPACES

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2002年第3期23卷 385-396页

作者： CAO GUANGFU department of mathematics, sichuan university, chengdu 610064, china. department of mathematics Sichuan University Chengdu 610064 China

The automorphism group of the Toeplitz C^*- algebra, J(C^1), generated by Toeplitz op-erators with C^1-symbols on Dirichlet space D is discussed; the K0, K1-groups and the first cohomology group of J(C^1) are computed. In addition, the author proves that the spectra of Toeplitz operators with C^1-symbols are always connected, and discusses the algebraic prop-erties of Toeplitz *** particular, it is proved that there is no nontrivial selfadjoint Toeplitz operator on D and Tψ^* = Tψ^- if and only if Tψ is a scalar operator.

关键词： Dirichlet space Toeplitz operator Toeplitz algebra

On nulls of perturbed Fredholm operators and degenerate homoclinic bifurcations

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2004年第4期47卷 617-627页

作者： ZHANG Weiniandepartment of mathematics, sichuan university, chengdu 610064, china 1. department of mathematics Sichuan University 610064 Chengdu China

It is known that small perturbations of a Fredholm operatorL have nulls of dimension not larger than dimN(L). In this paper for any given positive integer κ ? dimN(L) we prove that there is a perturbation ofL which has an exactly κ-dimensional null. Actually, our proof gives a construction of the perturbation. We further apply our result to concrete examples of differential equations with degenerate homoclinic orbits, showing how many independent homoclinic orbits can be bifurcated from a perturbation.

关键词： Fredholm operator, perturbation, dimension, decomposition, degenerate homoclinic bifurcation.

Uniform asymptotic stability in functional differential equations with infinite delay

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第12期43卷 1000-1003页

作者： XU Anshi department of mathematics, sichuan university, chengdu 610064, china department of mathematics Sichuan University Chengdu China

The fading memory space is used as phace space, and Liapunov methods are used to give conditions ensuring that the zero solution of functional differential equations with infinite delay is uniformly asymptotically sta... 详细信息

关键词： functional differential equation integral-differential equation fading memory space uniform asymptotic stalility.

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

在线全文

学校读者我要写书评

暂无评论

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.

ON THE SPACES OF THE MAXIMAL POINTS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2003年第3期24卷 303-308页

作者： LIANG JIHUA LIU YINGMING Institute of mathematics, sichuan university, chengdu 610064, china. Institute of mathematics, sichuan university, chengdu 610064, china. sichuan Univ Math Inst Chengdu 610064 Peoples R China

For a continuous domain D, some characterization that the convex powerdomain CD is adomain hull of Max(CD) is given in terms of compact subsets of D. And in this case, it isproved that the set of the maximal points Max(CD) of CD with the relative Scott topology ishomeomorphic to the set of all Scott compact subsets of Max(D) with the topology induced bythe Hausdorff metric derived from a metric on Max(D) when Max(D) is metrizable.

关键词： Convex powerdomain Maximal points Hausdorff metric