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高校应用数学学报（A辑） 2000年第2期15A卷 211-218页

作者：刘爱奎段奇单沪军 TwizellEH 山东工业大学数理系济南250061 dept.ofmath.andstatist.

利用带导数和不带导数的分母为线性的有理三次插值样条构造了一类加权有理三次插值函数.利用这种插值方法,将样条曲线严格约束于给定的折线之上、之下或之间的问题都可以得到解决.

关键词：加权插值曲线设计有理三次插值逼近性质

EXISTENCE OF GLOBAL SMOOTH SOLUTION TO INITIAL BOUNDARY VALUE PROBLEM FOR A VISCOELASTIC MODEL WITH RELAXATION

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Acta Mathematica Scientia 2004年第2期24卷 265-274页

作者：阮立志朱长江 LaboratoryofNonlinearAnalysis Dept.ofMath.CentralChinaNormalUniversityWuhan430079China

This paper is concerned with the initial boundary value problem for a viscoelastic model with relaxation. Under the only assumption that the C^0-norm of the initial data is small, without smallness hypothesis for the C^1-norm, the existence of the global smooth solution to the corresponding initial boundary value problem is proved. The analysis is based on some a priori estimates obtained by the 'maximum principle' of first-order quasilinear hyperbolic system.

关键词： Viscoelastic model relaxation a priori estimates maximum principle

A　RECURSIVE　QUADRATIC　PROGRAMMING　ALGORITHM　THAT　USES　A　NEW　NONDIFFERENTIABLE　PENALTY　FUNCTIONS

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Applied Mathematics(A Journal of Chinese Universities) 1994年第1期9卷 95-103页

作者： YANGBOTING ZHANGKECUN dept.ofmath. Xi＇anJiaotongUniversityXi＇an710049 dept.ofmath. Xi＇anJiaotongUniversityXi＇an710049

In this papert a recursive quadratic programming algorithm is proposed *** line search functions used are Han's nondifferentiable penalty functionswith a second order penalty term. In order to avoid maratos effect,Fukushima's mixeddirection is used as the direction of line *** we prove the global convergenceand the local second order convergence of the algorithm.

关键词： Nonlinear Programming Line Search Penalty Function Maratos Efficient Convergence.

NOTE ON CALCULATING WIENER NUMBERS OF MOLECULAR GRAPHS WITH SYMMETRY

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Applied Mathematics(A Journal of Chinese Universities) 1999年第2期14卷 191-196页

作者： LiHuaien ZhangFuji dept ofMath.ZhengzhouUniv.Henan450052. dept.ofmath..XiamenUnix .Fujian361005.

The authors provided a simple method for calculating Wiener numbers of molecular graphs with symmetry in *** paper intends to further improve on it and simplifies the calculation of the Wiener numbers of the molecular... 详细信息

关键词： 1991 MR Subject Classification 05C12 Keywords Wiener number point group molecular graph

THE MAXIMUM GENUS OF A 3-REGULAR SIMPLICIAL GRAPH

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Applied Mathematics(A Journal of Chinese Universities) 1999年第2期14卷 203-214页

作者： LiDeming LiuYanpei dept.ofmath. CapitalNormalUnivBeijing100037. dept ofMath.NorthernJiaotongUniv.Beijing100044.

Abstract In this paper, the relationship between non separating independent number and the maximum genus of a 3 regular simplicial graph is presented. A lower bound on the maximum genus of a 3 regular graph involving ... 详细信息

关键词： 1991 MR Subject Classification 05C10

CUTTING CORNERS PRESERVES LIPSCHITZ CONTINUITY

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Applied Mathematics(A Journal of Chinese Universities) 1994年第1期9卷 31-34页

作者： FENGYUYU JERNEJKOZAK dept.ofmath.USTC Hefei230026P.R.China dept.ofmath.UniversityofLjubljana Slovenija

In this note we prove that the corner cutting procedure preserves continuityproperties,i.e.,a sequence of polygons obtained in this way belongs to the Lipschitz classof the same constant and *** a consequence this also holds for all functions orcurves obtained as the limit of this procedure, such as the Bernstein polynomials,Bezierand spline parametric curves,etc.

关键词： Corner Cutting Lipschitz Continuity Bernstein Polynomial ParametricCurves.

ON A TWO-POINT BOUNDARY VALUE PROBLEM OF DUFFING TYPE EQUATION WITH DIRICHLET CONDITIONS

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Applied Mathematics(A Journal of Chinese Universities) 1999年第2期14卷 131-136页

作者： HuangWenhua ShenZuhe dept.ofmath.andPhys. WuxiUniv.ofLightIndustryWuxi214036. dept.ofmath. NanjingUniv.Nanjing210093.

Abstract An existence and uniqueness result concerned with the Dirichlet boundary value problem u″+cu′+g(t,u)=e(t),u(0)=u(π)=0 is offered.

关键词： 1991 MR Subject Classification 34B15

Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces

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Acta Mathematica Sinica,English Series 2004年第5期20卷 829-836页

作者： Ha|YunZHOU dept.ofmath. ShijiazhuangMechanicalEngineeringCollegeShijiazhuang050003P.R.China

In this article,we will investigate the properties of iterative sequence for non-expansive mappings and present several strong and weak convergence results of successive approximations to fixed points of non-expansive mappings in uniformly convex Banach *** results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non-expansive mappings.

关键词： Non-expansive mapping Mann and lshikawa iteration schemes Convergence theorem Uniformly convex Banach space

RESEARCH ANNOUNCEMENTS On a Spectrum Problem for Analytic Function

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数学进展 2001年第4期30卷 381-383页

作者：戴道清刘名生 dept.ofmath ZhongshanUniv.GuangzhouGuangdong510275 dept.ofmath SouthChinaNormalUniv.GuangzhouGua

1 IntroductionLet Ω be the unit disk {z: |z| ＜ 1} in the complex plane C. In this paper, we consider the following boundary value problem: Find out a λ and the analytic function u(z) in the unit disk Ω such that t... 详细信息

关键词：谱问题解析函数边值问题复平面特征值特征函数

B—space and Br—spaces Versus Transformed Points

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Chinese Quarterly Journal of Mathematics 1993年第1期8卷 96-101页

作者：高印珠朱同林等 dept.ofmath. ChangchunTeacherscollege130032 dept.ofmath. NorthweastUniversityXian710069

In this paper,we study B-spaces and Br-spaces by the transformed points of continuous,nearly open *** main results of ***'s [1] and *** and ***'s[2] are generalized to ωμ-additive spaces and ωμ-metrizable spaces.

关键词：拓扑空间 B空间 Br空间变换点开映射 T2空间邻域恒等映射 ωμ可度量空间