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On the periodic solutions of a type of differential-iterative equations

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Chinese Science Bulletin 1998年第3期43卷 204-206页

作者： GE Weigao 1, LIU Zhengrong 2.and YU Yuanhong 3 1. department of Applied mathematics, Beijing Institute of Technology, Beijing 100081, China {2., yunnan university, kunming 650091, China 3. Institute of Applied mathematics, C department of Applied mathematics Beijing Institute of Technology Beijing China department of mathematics Yunnan University Kunming China Institute of Applied mathematics Chinese Academy of Sciences Beijing China

Sufficient conditions for the existence of periodic solutions to a type of nonautonomous differential_iterative equations are given.

关键词： differential_iterative equation periodic solution fixed point.

Exponential attractors of the nonlinear wave equations

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Chinese Science Bulletin 1998年第16期43卷 1331-1335页

作者： DAI Zhengde 1 and MA Dacai 2.1. department of mathematics,{2., kunming 650031, China 2. department of mathematics, Shangrao Teachers College, Shangrao 334000, China department of mathematics Yunnan University Kunming China department of mathematics Shangrao Teachers College Shangrao China

The (E, E)-type exponential attractors for the nonlinear wave equation were obtained by using the decomposition of operators and finite covering *** results solves the open problem of Eden et al.

关键词： nonlinearity wave equations exponential attractors.

The right dual of left C-rpp semigroups

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Chinese Science Bulletin 1997年第19期42卷 1599-1603页

作者： GUO Yuqidepartment of mathematics,{2., kunming 650091, China department of mathematics Yunnan University Kunming China

SEMIGROUP S is said to be rpp (dually, lpp) if every principal right ideal aS^1(S^1a) of S, re-garded as a right (left)S^1-system, is projective. The semigroup which is both rpp and lpp is said to be abundant. These kinds of generalized regular semigroups have aroused wideattention. The Green’s,relations (~*-Green’s relations introduced by Pastijn) have formed avery useful tool in study on regular (abundant) semigroups. In order to develop the study onrpp semigroups a step further, we introduced the so-called (1)-Green’s,relation which

关键词： rpp semigroups left (right) C-rpp semigroups. (I)-Green’s relations.

Abundant Semigroups with a Multiplicative Adequate Transversal

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Acta Mathematica Sinica,English Series 2002年第2期18卷 229-244页

作者： GUO Xiao Jiang department of mathematics.{2. university.kunming 650091,P.R.China department of mathematics Yunnan University Kunming P. R. China

The aim of this paper is to investigate abundant semigroups with a multiplicative adequate *** properties and characterizations for such semigroups are *** particular. we establish the structure of this class of abundant semigroups in terms of left normal bands,right normal braids and adequate semigroups with some simple Compatibility *** apply this structure to some special cases.

关键词： Abundant semigroup Adequate semigroup Left(Right)normal band

Population-size-dependent branching processes in Markovian random environments

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Chinese Science Bulletin 1998年第8期43卷 635-638页

作者： WANG Hanxing 1 and DAI Yonglong 2.1. department of mathematics, Shanghai {2., Shanghai 2.1800, China 2. department of mathematics, Zhongshan {2., Guangzhou 5102.5, China department of mathematics Shanghai University Shanghai China department of mathematics Zhongshan University Gunngzhou China

A branching model {Z n} n≥0is considered where the offspring distribution of the population’s evolution is not only dependent on the population size, but also controlled by a Markovian environmental process {ξ n} n≥0. For this model, asymptotic behaviour is studied such as limn→∞Z n and limn→∞Z n/m n in the case that the mean m k, θof the offspring distribution converges to m>1 as the population size k grows to ∞. In the case that {ξ n} n≥0is an irreducible positive recurrent Markov chain, certain extinction (i.e. P(Z n=0 for some n)=1) and noncertain extinction (i.e. P(Z n=0 for some n)<1) are studied.

关键词： Markov chains in random environments stochastic population models branching processes.

Perturbations of the radical of nest algebras

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Chinese Science Bulletin 1998年第7期43卷 556-560页

作者： LU Fangyan 1 and LU Shijie 2.1. department of mathematics, Suzhou {2., Suzhou 2.5006, China 2. department of mathematics, Zhejiang {2., Hangzhou 31002., China department of mathematics Suzhou University Suzhou China department of mathematics Zhejiang University Hangzhou China

Let R N and K-N be the radical ideal and the compact operator ideal of nest algebra T(N) respectively. It is proved thatR-N+K-N=span{T∈T(N)∶TT(N)NCT}=span{T∈T(N): #σ′(ST)≤1, S∈T(N)}.

关键词： nest algebras radical perturbation.

Automorphisms with order three of affine Lie algebras

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Chinese Science Bulletin 1998年第21期43卷 1793-1798页

作者： JIN Quanqin 1,2.and HOU Zixin 2.1. department of mathematics, Hebei {2., Baoding 071002. China 2. department of mathematics, Nankai {2., Tianjin 300071, China department of mathematics Hebei University Baoding China department of mathematics Nankai University Tianjin China

Some properties of automorphisms of affine Lie algebras are presented. Automorphisms with order three are classified up to conjugacy, and their fixed point sets are also computed. As a corollary, it is proved that two... 详细信息

关键词： affine Lie algebra automorphism of order three first (second) kind of automorphism.

The Nature of Bonding in PtN

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Chinese Chemical Letters 1998年第7期9卷 687-690页

作者： Xiao Guang XIE Xian Jun BI Huai CAO Shu Shan DAI (Modem Biological Center, yunnan university, kunming 650091)({2. of Chemistry, yunnan Normal university, kunming 650092.({2. of Chemistry, yunnan university, kunming 650091) Modern Biological Center Yunnan University Kunming 650091 China department of Chemistry Yunnan Normal University Kunming 650092 China department of Chemistry Yunnan University Kunming 650091 China

The nature of bonding in the title compound has been studed by using CASSCF techniques. The ground state of PtN is found to be (2.Pi state arising primarily from: 1 sigma(2.2.sigma(2.1 pi(4)1 delta(4)3 sigma(2.2.pi(1) configuration, which forms triple bond between Pt and N atoms tone sigma, two pi). The lowest quartet state is (4)Sigma(-) State which has the configuration: ...1 sigma(2.2.sigma(2.1 pi(4)1 delta(4)3 sigma(1)2.pi(2. and lies higher than the ground state by 0.43eV.

关键词： PtN nature of bonding molcular constants CASSCF

Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 263-272页

作者： Zheng-de Daidepartment of mathematics,{2., kunming 650091, China department of mathematics Yunnan Normal University Kunming China

In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution operator, it is sho... 详细信息

关键词： Regularity of Global attractor Hamiltonian amplitude equation