中国科学院数学与系统科学研究院期刊网
AMS

10 May 2010, Volume 26 Issue 5
    

  • Select all
    |
    Articles
  • Classification of Some Nilpotent Class of Leibniz Superalgebras
    Luisa M.CAMACHO, Jose R.GOMEZ, Rosa M.NAVARRO, Bakhrom A.OMIROV
    Acta Mathematica Sinica. 2010, 26(5): 799-816. https://doi.org/10.1007/s10114-010-8358-2
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    The aim of this work is to present the description of Leibniz superalgebras up to isomorphismwith characteristic sequence(n|m-1,1)and nilindex n+m.
  • Mappings of Finite Distortion:Formation of Cusps III
    Pekka KOSKELA, Juhani TAKKINEN
    Acta Mathematica Sinica. 2010, 26(5): 817-824. https://doi.org/10.1007/s10114-010-7565-1
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    We give sarp integrability conditions on the distortion of a planar homeomorphism thatmaps a standard cusp onto the unit disk.
  • Periodic Solutions with Prescribed Minimal Period for the Second Order Hamiltonian Systems with Even Potentials
    Yu Ming XIAO
    Acta Mathematica Sinica. 2010, 26(5): 825-830. https://doi.org/10.1007/s10114-009-8305-2
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper,under a similar but stronger condition than that of Ambrosetti and Ra-binowitz we find a T-periodic solution of the autonomous superquadratic second order Hamiltoniansystem with even potential for any T>0;moreover,such a solution has T as its minimal period.
  • The Average Value Inequality in Sequential Effiect Algebras
    Jun SHEN, Jun De WU
    Acta Mathematica Sinica. 2010, 26(5): 831-836. https://doi.org/10.1007/s10114-009-8683-5
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    A sequential effect algebra(E,0,1,⊕,o)is an effect algebra on which a sequential producto with certain physics properties is defined;in particular,sequential effect algebra is an importantmodel for studying quantum measurement theory.In 2005,Gudder asked the following problem:Ifa,b ∈(E,0,1,⊕,o)and a⊥b and a o b⊥a o b,is it the case that 2(a o b)≤a2⊕b2? In this paper,we construct an example to answer the problem negatively.
  • Periodic Solutions in Unbounded Domains for the Boussinesq System
    Elder Jesus VILLAMIZAR-ROA, MariaA ngeles RODRIGUEZ-BELLIDO, Marko Antonio ROJAS-MEDAR
    Acta Mathematica Sinica. 2010, 26(5): 837-862. https://doi.org/10.1007/s10114-010-7360-z
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Assuming that the external forces of the system are small enough,the reference tempera-ture being a periodic function,we study the existence,the uniqueness and the regularity of time-periodicsolutions for the Boussinesq equations in several classes of unbounded domains of Rn.Our analysis isbased on the framework of weak-Lp spaces.
  • Imputation of Mean of Ratios for Missing Data and Its Application to PPSWR Sampling
    Guo Hua ZOU, Ying Fu LI, Rong ZHU, Zhong GUAN
    Acta Mathematica Sinica. 2010, 26(5): 863-874. https://doi.org/10.1007/s10114-010-6271-3
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In practical survey sampling,nonresponse phenomenon is unavoidable.How to imputemissing data is an important problem.There are several imputation methods in the literature.Inthis paper,the imputation method of the mean of ratios for missing data under uniform response isapplied to the estimation of a finite population mean when the PPSWR sampling is used.The imputedestimator is valid under the corresponding response mechanism regardless of the model as well as underthe ratio model regardless of the response mechanism.The approximately unbiased jackknife varianceestimator is also presented.All of these results are extended to the case of non-uniform response.Simulation studies show the good performance of the proposed estimators.
  • On the Classification of Positive Quaternionic Kahler Manifolds with b4=1
    Jin Hong KIM, Hee Kwon LEE
    Acta Mathematica Sinica. 2010, 26(5): 875-884. https://doi.org/10.1007/s10114-010-8131-6
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Let M be a positive quaternionic Kähler manifold of dimension 4m.We already showedthat if the symmetry rank is greater than or equal to [m/2]+2 and the fourth Betti number b4 is equalto one,then M is isometric to HPm.The goal of this paper is to report that we can improve thelower bound of the symmetry rank by one for higher even-dimensional positive quaternionic Kä hlermanifolds.Namely,it is shown in this paper that if the symmetry rank of M with b4(M)=1 is greaterthan or equal to m/2+1 for m≥10,then M is isometric to HPm.One of the main strategies of thispaper is to apply a more delicate argument of Frankel type to positive quaternionic Kähler manifoldswith certain symmetry rank.
  • Stable F-Harmonic Maps Between Finsler Manifolds
    Jin Tang LI
    Acta Mathematica Sinica. 2010, 26(5): 885-900. https://doi.org/10.1007/s10114-010-8440-9
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper,we derive the first and second variation formulas for F-harmonic mapsbetween Finsler manifolds,and when F≤0 and n≥3,we prove that there is no nondegeneratestable F-harmonic map between a Riemannian unit sphere Sn and any compact Finsler manifold.
  • Schwarz–Pick Estimates for Bounded Holomorphic Functions in the Unit Ball of Cn
    Zhi Hua CHEN, Yang LIU
    Acta Mathematica Sinica. 2010, 26(5): 901-908. https://doi.org/10.1007/s10114-010-7487-y
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    We give a Schwarz–Pick estimate for bounded holomorphic functions on unit ball in Cn,and generalize some early work of Schwarz–Pick estimates for bounded holomorphic functions on unitdisk in C.
  • Stability for Impulsive Functional Differential Equations with Infinite Delays
    Xian Long FU, Lei ZHOU
    Acta Mathematica Sinica. 2010, 26(5): 909-922. https://doi.org/10.1007/s10114-009-7071-5
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper,some theorems of uniform stability and uniform asymptotic stability forimpulsive functional di?erential equations with infinite delay are proved by using Lyapunov functionalsand Razumikhin techniques.An example is also proved at the end to illustrate the application of theobtained results.
  • Stochastic Perturbations of Fat Solenoidal Attractors
    Yan ZHENG
    Acta Mathematica Sinica. 2010, 26(5): 923-936. https://doi.org/10.1007/s10114-010-8181-9
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this article stochastic perturbations of a class of fat solenoidal attractors are consid-ered.We show the robustness of their invariant densities and rates of mixing under the stochasticperturbations by investigating the properties of their transfer operators.
  • Large Deviations and Moderate Deviations for Kernel Density Estimators of Directional Data
    Fu Qing GAO, Li Na LI
    Acta Mathematica Sinica. 2010, 26(5): 937-950. https://doi.org/10.1007/s10114-010-7205-9
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Let fn be the non-parametric kernel density estimator of directional data based on a kernelfunction K and a sequence of independent and identically distributed random variables taking valuesin d-dimensional unit sphere Sd-1. It is proved that if the kernel function is a function with boundedvariation and the density function f of the random variables is continuous,then large deviation principleand moderate deviation principle for {supx∈Sd-1|fn(x)-E(fn(x))|,n≥1} hold.
  • On the Gerber–Shiu Discounted Penalty Function for a Surplus Process Described by PDMPs
    Jing Min HE, Rong WU
    Acta Mathematica Sinica. 2010, 26(5): 951-962. https://doi.org/10.1007/s10114-010-6573-5
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper,we investigate the Gerber–Shiu discounted penalty function for the surplusprocess described by a piecewise deterministic Markov process(PDMP).We derive an integral equationfor the Gerber–Shiu discounted penalty function,and obtain the exact solution when the initial surplusis zero.Dickson formulae are also generalized to the present surplus process.
  • A Note on a Diffusive Predator-prey Model and Its Steady-state System
    Rui PENG, Ming Xin WANG, Guo Ying YANG
    Acta Mathematica Sinica. 2010, 26(5): 963-974. https://doi.org/10.1007/s10114-010-6565-5
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this note,a diffusive predator-prey model subject to the homogeneous Neumann bound-ary condition is investigated and some qualitative analysis of solutions to this reaction-diffusion systemand its corresponding steady-state problem is presented.In particular,by use of a Lyapunov function,the global stability of the constant positive steady state is discussed.For the associated steady stateproblem,a priori estimates for positive steady states are derived and some non-existence results fornon-constant positive steady states are also established when one of the diffusion rates is large enough.Consequently,our results extend and complement the existing ones on this model.
  • Best m-term One-sided Trigonometric Approximation of Some Function Classes Defined by a Kind of Multipliers
    Ren Suo LI, Yong Ping LIU
    Acta Mathematica Sinica. 2010, 26(5): 975-984. https://doi.org/10.1007/s10114-009-6478-3
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper,we continue studying the so-called non-linear best m-term one-sided ap-proximation problems and obtain the asymptotic estimations of non-linear best m-term one-sidedtrigonometric approximation under the norm Lp(1≤p≤∞)of multiplier function classes and thecorresponding m-term Greedy-liked one-sided trigonometric approximation results.
  • Test Homogeneity of Order-restricted Means
    Hai Bing ZHAO
    Acta Mathematica Sinica. 2010, 26(5): 985-992. https://doi.org/10.1007/s10114-010-6174-3
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Suppose that an order restriction is imposed among several p-variate normal mean vectors.We are interested in testing the homogeneity of these mean vectors under this restriction.This problemis an extension of Sasabuchi,Tanaka and Tsukamoto's problem.
Journal Online
Links More
Wechat