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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,{2. 2. department of mathematics, yunnan university, kunming 650091,{2. 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.

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

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

Uniqueness results for monopolar fluids

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Communications in Nonlinear Science and Numerical Simulation 2000年第1期5卷 21-23页

作者： Guoguang LIN department of mathematics,{2., kunming 650091, china, e-mail: gglin@ynu. edu. cn department of mathematics Yunnan University Kunming 650091 China

We prove a unique property for weak solutions of monopolar fluid equations.

关键词： monopolar fluid equations non-Newtonian fluids uniqueness of weak solutions

A Series of Convex Functions on a Banach Space

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Acta Mathematica Sinica,English Series 1998年第1期14卷 77-84页

作者： Zheng Xiyin department of mathematics,{2., kunming 650091, china

A series of convex functions on a Banach space is studied. The generalizations of the Moreau-Rockafellar theorem are given. As its application, the partial generalization of the Kuhn- Tucker theorem is obtained.

关键词： Pointwise convergence Locally uniform convergence Subdifferential Moreau-Rockafellar theorem Kuhn-Tucker theorem

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.

CYCLES CONTAINING MANY VERTICES OF SUBSETS IN GRAPHS WITH LARGE DEGREE SUMS AND NEIGHBORHOOD UNIONS

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Systems Science and Mathematical Sciences 2000年第4期13卷 432-445页

作者： LI Jianping (Institute of mathematics and department of mathematics, yunnan university, kunming 650091, china) 云南大学数学所云南昆明 650091

Let G be a graph of order n and X V(G). G is called X-cyclable if G has an X-cycle, i.e., a cycle containing all vertices of X. Define the parameters a(X) = max{|S| S is an independent vertex set in G[X] induced by X}, σk(X) = min{∑ki=1dG(x.i| {x1, x1…, xk} is an independent vertex set in G[X]} and NCk(X) = min{|∪ki=1 NG(xi)| | {x1, x2.,xk} is an independent vertex set in G[X] }. Our main result is as follows: If G is a 1-tough graph and X V(G) with σ3(X)≥ n, then for every integer t ≥ 1, G has a cycle C containing at least min{|X|, (2.X| - n + 3δ + 1 - t), |X| + NCt(X) - a(X)} venices of X, where δ(X) = [σ3(X)]. This result further extends previous results in H.J. Broersma et al. in terms of X-cyclability. We also obtain that if G is a 1-tough graph with σ3 (X) ≥ n, then for every integer t ≥ 1, G has a cycle containing at least min{|X|, (4|X|- 2.+4δ(X) + 1 - 2.), NCt (X) +NCt (X)} vertices of X, where NCt (X) = min{|N(I) ∩X|| I is an independent set of t vertices of X}. Analogous results are established for 2.connected graphs.

关键词： (X-)longest cycle (X-)dominating cycle hamiltonian graph vertex degree large degree sums neighborhood unions.

ON THE ESTIMATIONS OF BOUNDS FOR DETERMINANT OF HADAMARD PRODUCT OF H-MATICES

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Journal of Computational mathematics 2001年第4期19卷 365-370页

作者： Yao-tang Li (department of Mathemotics, Yuunan university,{2., china) Ji-cheng Li (department of mathematics, Xian Jiaotong university, Xian 71049, china) 云南大学云南昆明 650091 西安交通大学陕西西安 710049

In this paper, some estimations of bounds for determinant of Hadamard product of H-matrices are given. The main result is the following: if A= (aij) and B=(bij) are nonsingular H-matrices of order n and ∏in=1, aiibii> 0, and Ak and Bk, k = 1, 2.…,n, are the k× k leading principal submatrices of A and B, respectively, then where M(Ak) denotes the comparison mains of Ak.

关键词： H-matrix Determinant Hadamard product.