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03 March 2000, Volume 20 Issue 2 Previous Issue    Next Issue

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Quadratic Convergence of Newton-type Algorithms for Mix-complementarity Problems Ma Changfeng Chen Xinmei Acta mathematica scientia,Series A. 2000, 20 (2):  145-151.  Abstract ( 880 )   RICH HTML PDF (334KB) ( 775 )   Save In convex programming theory, a constrained optimization problem, by KT conditions, is usually converted into a mixed nonlinear complementarily problem. According to regular solution and general solution, we in the paper describe and establish a sufficient condition under which the Newton-type algorithm possesses quadratic convergence property when it is applied to solving mix-complementarity problems. In addition, we also show that, when the   stepsize is suitably chosen, the inexact Newton's method and the discrete Newton's method converge quadratically. References | Related Articles | Metrics

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Result on Equiaffine Weigarten Surfaces in A3 Yang Weilong Acta mathematica scientia,Series A. 2000, 20 (2):  152-157.  Abstract ( 697 )   RICH HTML PDF (303KB) ( 752 )   Save The H-theorem and K-theorem for surfaces in the equiaffine space A3 are well-known, In spirit of these investigations, I am going to prove a more generally theorem in this paper. References | Related Articles | Metrics

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On the Pseudo-umbilical Submanifolds with Parallel Second Fundamental Form Song Weidong Acta mathematica scientia,Series A. 2000, 20 (2):  158-162.  Abstract ( 749 )   RICH HTML PDF (293KB) ( 815 )   Save In this paper, we discussed the oriented closed pseudo-umbilical submanifold with parallel second fundamental form in a Riemannian manifold Nn+p. we prove a pinching theorem for length of second fundamental form for this submanifolds in Nn+p. References | Related Articles | Metrics

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Set-Valued Supermartingle Approximation for Set-Valued Superpramart Li Gaoming Acta mathematica scientia,Series A. 2000, 20 (2):  158-162.  Abstract ( 771 )   RICH HTML PDF (310KB) ( 819 )   Save In this paper, the properties of integrabel random-set conditional expectation are discussed; set-valued supermartingle approximation for set-valued superpramart is given; and its convergence in means kuratowski-Mosco are proved. References | Related Articles | Metrics

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Least-Quares Mixed Finite Element Methods Based on Riesz-Representing Operators for Saddle-Point Problems   Duan Huoyuan Acta mathematica scientia,Series A. 2000, 20 (2):  169-180.  Abstract ( 756 )   RICH HTML PDF (427KB) ( 752 )   Save The existence and uniqueness of a generalized saddle point problems dependent parameter is studied. Based on the Riesz-representing operators, a least squares mixed finite element method is developed for saddle point problems considered. References | Related Articles | Metrics

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Solutions of Nonlinear Singular Second Order Differential Equations in Banach Spaces Zhou Youming Acta mathematica scientia,Series A. 2000, 20 (2):  181-186.  Abstract ( 795 )   RICH HTML PDF (326KB) ( 809 )   Save This paper deals with a class of boundary value problems of nonlinear second order differential equations in Banach spaces, where the equations have singular right hand terms. Using fixed point method, the existence theorems for the boundary value problems are obtained. Finally, an example is given. References | Related Articles | Metrics

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Multipliers of BMOP on Bounded Symmetric Domains Ye Shanli Acta mathematica scientia,Series A. 2000, 20 (2):  187-193.  Abstract ( 737 )   RICH HTML PDF (316KB) ( 710 )   Save In this paper, we characterize multipliers of the “bounded mean oscillation” (BMOp) space in the Bergman metric on bounded symmetric domains. References | Related Articles | Metrics

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Existence and Uniqueness of Solutions of Nonlinear Three-Point Boundary Value Problems for Fourth Order Nonlinear Ordinary Differential Equations Pei Minghe Yu Hailan Acta mathematica scientia,Series A. 2000, 20 (2):  194-201.  Abstract ( 1065 )   RICH HTML PDF (368KB) ( 887 )   Save In this paper,by using the “Matching” technique, gives concrete sufficient conditions of the existence and uniqueness of solutions of nonlinear three-point boundary value problems for fourth order nonlinear ordinary differential equation       Y(4) = f(x, y, y′,y″,y(3)), with the nonlinear threepoint boundary conditions       k(y(b),y′(b),y″(b),y(3)(b),y(a),y′(a),y″(a),y(3)(a))=0,       y(b)=μ       g(y′(b),y(3)(b))=0,       h(y(b),y′(b),y″(b),y(3)(b),y(c),y′(c),y″(c),y(3)(c))=0 References | Related Articles | Metrics

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Dirichlet Problem for Mean Curvature Type Equation with Singular Term Dai Qiuyi Acta mathematica scientia,Series A. 2000, 20 (2):  202-209.  Abstract ( 857 )   RICH HTML PDF (359KB) ( 773 )   Save We consider Dirichlet problem for mean curvature type equation with singular term and positive parameter ε and prove that the above problem has at least a classical solution for εsmall enough and has no calssical solution for εlarge enough. References | Related Articles | Metrics

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Auto-Backlund Transformation、Multi-Soliton Solutions and Rational Fraction Solutions for the Modified Dispersive Water Waves Equations Yan Zhenya Zhang Hongqing Acta mathematica scientia,Series A. 2000, 20 (2):  210-215.  Abstract ( 985 )   RICH HTML PDF (303KB) ( 797 )   Save  In this paper, by using the unknown function transformation and with the aid of Mathematica, auto-Backlund transformation of the modified dispersive water waves equations is obtained, and Darboux transformations between it、heat equation and linear equation are derived. Based on these results, multisoliton solutions、rational fraction solutions and other exact solutions for the equations are found. This way can be also applied to other nonlinear equations. References | Related Articles | Metrics

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On ρ(r) Relative deficiency of a Meromorphic Function Li Chunhong Acta mathematica scientia,Series A. 2000, 20 (2):  216-223.  Abstract ( 841 )   RICH HTML PDF (317KB) ( 775 )   Save  This present paper defines and researches the ρ(r) relative deficiency of a meromorphic function and obtains four results. Theorem 2 contains Sarangi and Patils result's. Theorem 4 states clearly that meromorphic functions with maximal ρ(r) deficiency sum haven't non zero and finite ρ(r) relative deficient values. References | Related Articles | Metrics

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The Study Viscosity Tensor of Steady Suspension Under Lerge Vlume Motion in Vary Field Theory Zhang Zhong Li Ke Acta mathematica scientia,Series A. 2000, 20 (2):  224-228.  Abstract ( 687 )   RICH HTML PDF (318KB) ( 728 )   Save This paper introduces alterative field concept into the field of steady suspensions，sets up an integral equation of deciding deformed tensor field in suspension ,on the basis，wholly calculates the viscosity tensor of the steady suspension. So the paper opens up a new way in deeply studying rheology character of suspension.        References | Related Articles | Metrics

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Abelian Integrals for Cubic Hamiltonian System with a Cuspidal Loop Zhao Yulin Acta mathematica scientia,Series A. 2000, 20 (2):  229-234.  Abstract ( 758 )   RICH HTML PDF (412KB) ( 774 )   Save  It is proved that in this paper that the lowest upper bound B(3) of the number of zeros of Abelian integrals I(h)=∮Гh(α+βx+γx2)ydx satisfies 4≤B(3)≤6, where Γh is the compact component of H(x, y) = y2/2 + x3/3 + x4/4 =h α,β,γ are arbitrary real constants. References | Related Articles | Metrics

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The solution of a Equation System and the Boundary Value Problem for It Li Yucheng Acta mathematica scientia,Series A. 2000, 20 (2):  235-239.  Abstract ( 845 )   RICH HTML PDF (311KB) ( 832 )   Save In this paper, we discuss the equation system: t(ux - vy - wt ) + w = 0                                              (H)      uy = -vx, ut = -wx, vt = wy   We get a sufficient and necessary condition of its solvability, and the existence of solution for the boundary value problem relating to it is obtained.   References | Related Articles | Metrics

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A Conservative Numerical Schmem for Initial and Boundary Value Problem of Nonlinear Schrodinger Equation Zhang Luming Chang Qianshun Acta mathematica scientia,Series A. 2000, 20 (2):  240-245.  Abstract ( 980 )   RICH HTML PDF (362KB) ( 678 )   Save Ｉｎｔｈｉｓｐａｐｅｒ，ａｎｅｗｃｏｎｓｅｒｖａｔｉｖｅｆｉｎｉｔｅｄｉｆｆｅｒｅｎｃｅｓｃｈｅｍｅｉｓｐｒｏｐｏｓｅｄｆｏｒｎｏｎｌｉｎｅａｒＳｃｈｒ¨ ｏｄｉｎｇｅｒｅｑｕａｔｉｏｎ，ａｎｄｉｔｓｃｏｎｖｅｒｇｅｎｃｅａｎｄｓｔａｂｉｌｉｔｙａｒｅｐｒｏｖｅｄ．Ｂｙｍｅａｎｓｏｆｎｕｍｅｒｉｃａｌｃｏｍｐｕｔｉｎｇ，ｉｔｉｓｆｏｌｌｏｗｅｄｔｈａｔｔｈｅｎｅｗｄｉｆｆｅｒｅｎｃｅｓｃｈｅｍｅｉｓｂｅｔｔｅｒｔｈａｎｔｈｅｓｃｈｅｍｅｏｆｐａｐｅｒ［７］ｉｎｐｒｅｃｉｓｉｏｎ，ｗｈｅｎｓｕｉｔａｂｌｅｐａｒａｍｅｔｅｒｉｓａｄｏｐｔｅｄ．   References | Related Articles | Metrics

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Complex Convexities of Musielak-Orlicz Sequence Spaces Wang Tingfu Teng Yanmei Bian Shurong Acta mathematica scientia,Series A. 2000, 20 (2):  246-250.  Abstract ( 749 )   RICH HTML PDF (306KB) ( 736 )   Save The criteria of complex extreme point, complex rotundity and complex uniform rotundity in Musielak-Orlicz sequence spaces are given. References | Related Articles | Metrics

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The Classes of Upper Embeddable Graphs With the Same Value of Degree of Vertex Under Modulo     Huang Yuanqiu Liu Yanpei Acta mathematica scientia,Series A. 2000, 20 (2):  251-255.  Abstract ( 862 )   RICH HTML PDF (356KB) ( 830 )   Save Combined with the condition of 4-quadrangle 2-factor, this paper gives classes of upper embeddable graphs whose value of degree of each vertex is 0 or 1, respectively, under modulo 4. Based on the known, results we characterize entirely the upper embeddability of such classes of graphs containing a 4-quadrangle 2-factor. References | Related Articles | Metrics

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New study on the S.N.Bernstein Problem Yuan Xuegang Wang Min Acta mathematica scientia,Series A. 2000, 20 (2):  256-260.  Abstract ( 739 )   RICH HTML PDF (304KB) ( 747 )   Save In this paper, a triangle interpolation polynomial is constructed through the method of two zero nodes revised. The S.N.Bernstein problem is discussed in a deep step. The answer of the problem of S.N.Bernstein is the best. References | Related Articles | Metrics

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A New Result of Asymptotic Theory for Semilinear Wave Equations in Two Space Dimensions Lai Shaoyong Acta mathematica scientia,Series A. 2000, 20 (2):  261-268.  Abstract ( 913 )   RICH HTML PDF (355KB) ( 829 )   Save  The asymptotic theory for a class of semilinear wave equations in two space demensions is established in this paper. The validity of formal approximations on a long time scale of order C2(J×R2)(J={t|0≤t≤O(|ε|-1/(2-k(p-1))),ε→0,0<2-k(p-1)<1,0<k<1/2} is discussed in the classical sense of C2. The time order function obtained in this paper is better than that of [1]～[4]. References | Related Articles | Metrics

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First Order Linear Differential Inequlities Tang Xianhua Yu Jianshe Acta mathematica scientia,Series A. 2000, 20 (2):  269-273.  Abstract ( 991 )   RICH HTML PDF (306KB) ( 857 )   Save  In this paper, the nonexistence of eventually positive solutions of the first order linear delay differential inequality      x′(t) + p(t)x(τ(t)) ≤ 0 is investigated, where p(t), τ(t)∈C(［t0,∞),［0,∞)),τ(t)≤t. The obtained sufficient conditions improve many known results in the literature. References | Related Articles | Metrics

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On Homotopy Regular Morphisms Cao Yongzhi Guo Tuoying Zhu Ping Acta mathematica scientia,Series A. 2000, 20 (2):  274-277.  Abstract ( 828 )   RICH HTML PDF (284KB) ( 834 )   Save This paper defines homotopy regular morphisms in the category of topological spaces with base point and discusses its existence conditions, properties and the close relationships to homotopy monomorphism (epimorphism), homotopy regular monorphism (epimorphism) and homototy equivalence. References | Related Articles | Metrics

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On the Distribution of the Values of Infinite Order Random Dirichlet Series on the Right Half-Plane Tian Fanji Acta mathematica scientia,Series A. 2000, 20 (2):  278-287.  Abstract ( 1031 )   RICH HTML PDF (354KB) ( 828 )   Save  In this paper, we improve the result of growth about Dirichlet series, and research properties of independent randorm variables {Zn} under the condition, EZn=0,α>0, such that, 0<σn2=E|Zn|2≤α2E|Zn|2<+∞. We obtain that random series ∑n=0∞Znexp{-λnσ} and ∑n=0+∞σnexp{-λnσ} a.s have the same abscissa of convergence, the order of growth, type function, and every point in Res=0 is a.s. Borel point (without exceptional value) of a general random Dirichlet series of order ρ(1/σ) in right half plane. References | Related Articles | Metrics