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THE CONNECTIVITY OF MAXIMUM MATCHING GRAPHS

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Journal of Systems Science & Complexity 2004年第1期17卷 33-38页

作者： LIUYan WANGShiying departmentofmathematics SouthChinaNormalUniversityGuangzhou510631China departmentofmathematics ShanxiUniversityTaiyuan030000China

The maximum matching graph of a graph has a vertex for each maximummatching and an edge for each pair of maximum matchings which differ by exactly oneedge. In this paper, we prove that the connectivity of maximum matc... 详细信息

关键词： maximum matching graph connectivity

LARGE TIME BEHAVIOR OF SOLUTIONS TO NEWTONIAN FILTRATION EQUATIONS WITH SOURCES

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Acta Mathematica Scientia 2010年第3期30卷 968-974页

作者：王路生尹景学王泽佳 department of mathematics Jilin University department of mathematics South China Normal University

This article is concerned with large time behavior of solutions to the Neumann or Dirichlet problem for a class of Newtonian filtration equations ｜x｜λ＋Эt^-Эu=div（｜x｜^k∨u^m）＋｜x｜λ＋ku^p with 0 〈 m 〈 1,p 〉 1,λ≥0, k ∈ R. An interesting phenomenon is that there exist two thresholds k∞ and kl for the exponent k, such that the critical Fujita exponent pc for p exists and is finite if k E （k∞, k1）, otherwise, pc is infinite or does not exist.

关键词： Newtonian filtration equation critical exponent exterior problem Thresh -old

Derivations and Isomorphisms of Certain Reflexive Operator Algebras

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Acta Mathematica Sinica,English Series 1998年第1期14卷 105-112页

作者： Hou Chengjun Han Deguang department of mathematics, Qufu Normal University, Qufu 273165, china Institute of mathematics, Fudan University, Shanghai 200433,.china department of mathematics, Qufu Normal University, Qufu 273165, china 曲阜师范大学数学系山东曲阜

In this paper, we will prove that every derivation of completely distributive subspace lattice (CDS)algebras on Banach space is automatically continuous. This is new even in the Hilbert space case. As an application of this result, we obtain that every additive derivation of nest algebras on Banach spaces is inner. We will also prove that every isomorphism between nest algebras on Banach space is automatically continuous, and in addition, is spatial.

关键词： CDS algebra Nest algebra Derivation Isomorphism

A REMARK ON THE GLOBAL SMALL SOLUTION FOR GENERAL COUPLED MAXWELL-SCHR■DINGER EQUATIONS IN IR^3

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Systems Science and Mathematical Sciences 1999年第2期12卷 97-103页

作者： MIAO Changxing(Institute of Applied Physics and Computational mathematics, Beijing 100088, china)LI Zemin(department of mathematics, Zhengzhou University, Zhengzhou 450052, china)

This note is a continuation of earlier papers "The Cauchy Problem for General Coupled Maxwell-Schrodinger Equations (I) (II)". When the spatial dimensions are three ,we prove the existence of global small solution for... 详细信息

关键词： Coupled Maxwell-Schrodinger equations Cauchy problem quasi-energy method.

POSITIVE SOLUTIONS FOR WEAKLY COUPLED NONLINEAR ELLIPTIC SYSTEMS

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Acta Mathematica Scientia 2010年第5期30卷 1577-1592页

作者：龙静杨健夫 Wuhan Institute of Physics and mathematics Chinese Academy of Sciences Graduate School Chinese Academy of Sciences department of mathematics Jiangxi Normal University

In this article, we consider the existence of positive solutions for weakly coupled nonlinear elliptic systems {-△u＋u=（1＋a（x））｜u｜P-1u＋μ｜u｜a-2u｜v｜β＋λv in Rn,-△u＋u=（1＋b（x））｜v｜p-1v＋μ｜u｜a｜v｜β-2v＋λu in Rn To find nontrivial solutions, we first investigate autonomous systems. In this case, results of bifurcation from semi-trivial solutions are obtained by the implicit function theorem. Next, the existence of positive solutions of problem （0.1） is obtained by variational methods.

关键词： Elliptic system in RN positive solution bifurcation variational method

PACKING A TREE OF ORDER p WITH A (p,p+1)-GRAPH

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Journal of Systems Science & Complexity 2003年第1期16卷 122-132页

作者： WANGMin LIGuojun departmentofmathematics YantaiUniversityYantai264005China departmentofmathematics ShandongUniversityJinan250100China

Let G1 and G2 be two graphs of the same order,If G1 is isomorphic to a spanning subgraph of the complement of G2,then we say that G1 and G2 are packable.A graph G is called a (p,m)-graph if G has p vertices and m *** main purpose of this paper is to present a necessary and sufficient condition for a tree of order p and a (p,p+1)-graph to be packable.

关键词： Packing tree (p p+ 1)-graph.

IMPULSIVE BOUNDARY VALUE PROBLEMS FOR STURM-LIOUVILLE TYPE DIFFERENTIAL INCLUSIONS

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Journal of Systems Science & Complexity 2007年第3期20卷 370-380页

作者： Yicheng LIU Jun WU Zhixiang LI department of mathematics and Systems Science College of Science National University of Defense Technology Changsha 410073 China. College of mathematics and Computer Science Changsha University of Science Technology Changsha 410076 China.

In this paper, the authors investigate the existence of solutions of impulsive boundary value problems for Sturm-Liouville type differential inclusions which admit non-convex-valued multifunctions on right hand side. Two results under weaker conditions are presented. The methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and Nadler and Schaefer＇s fixed point theorem combined with lower semi-continuous multi-valued operators with decomposable values.

关键词： Boundary value problems contraction multi-valued map impulsive differential inclusions,measurable selection.

PERIODIC BOUNDARY VALUE PROBLEM AND CAUCHY PROBLEM OF THE GENERALIZED CUBIC DOUBLE DISPERSION EQUATION

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Acta Mathematica Scientia 2008年第3期28卷 573-587页

作者：陈国旺薛红霞 department of mathematics Zhengzhou University department of mathematics and Physics Zhengzhou Institute of Aeronautical Industry Management Zhengzhou 450015 China

In this article, the existence, uniqueness and regularities of the global generalized solution and global classical solution for the periodic boundary value problem and the Cauchy problem of the general cubic double dispersion equationutt - uxx - auxxtt ＋ bux4 - duxxt = f（u）xxare proved, and the sufficient conditions of blow-up of the solutions for the Cauchy problems in finite time are given.

关键词： The generalized cubic double dispersion equation Cauchy problem existence and uniqueness of global solution nonexistence of global solution

OUTLIERS AND INFLUENTIAL OBSERVATIONS IN A RIDGE MEAN SHIFT REGRESSION

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Systems Science and Mathematical Sciences 1995年第1期8卷 12-26页

作者： PAN Jianxin (Institute of Applied mathematics, Yunnan Province, Kunming 650091, china)XIONG Haiyan (department of mathematics, Yunnan University, Kunming 650091, china) 云南省应用数学所云南昆明 650091 云南大学数学系云南昆明

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关键词： Outliers influential observations ridge mean shift regression ridge residuals.