15 February 2001, Volume 17 Issue 2
    

  • Select all
    |
  • 论文
    Bivariate estimation with left-truncated data
    Liu Quan SUN, Hao Bao REN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 145-156.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this article we construct a kernel estimate of the probability function from bivariate data when a component is subject to random left-truncation.We establish consistency and asymptotic normality of the proposed estimator using a strong approximation result.Simulation studies show that the proposed procedure gives a good estimate of the true density function even when the sample size is moderate.
  • Original Articles
    Bivariate estimation with left-truncated data
    Liu Quan SUN, Hao Bao REN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 145-156.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this article we construct a kernel estimate of the probability function from bivariate data when a component is subject to random left-truncation.We establish consistency and asymptotic normality of the proposed estimator using a strong approximation result.Simulation studies show that the proposed procedure gives a good estimate of the true density function even when the sample size is moderate.
  • 论文
    Boundedness,asymptotic behavior and oscillatory properties for the models of single-species population growth with impulsive effect
    Jian Gang QI, Yan Sheng LIU, Shao ZHu CHEN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 157-164.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we obtain the boundedness,asymptotic beahvior and oscillatory properties for the single logistic models with impusle effect.Some examples are given to indicate the application of our results.
  • Original Articles
    Boundedness,asymptotic behavior and oscillatory properties for the models of single-species population growth with impulsive effect
    Jian Gang QI, Yan Sheng LIU, Shao ZHu CHEN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 157-164.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we obtain the boundedness,asymptotic beahvior and oscillatory properties for the single logistic models with impusle effect.Some examples are given to indicate the application of our results.
  • 论文
    Some results on universal minimal total dominating functions
    Qi Zhi FANG, Mao Cheng CAI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 165-172.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we introduce the concepts of redundant constraint and exceptional vertex which play an important role in the characterization of universal minimal total dominating functions (universal MTDFs),and establish some further results on universal MTDFs in general graphs.By extending these results to trees,we get a necessary and sufficient condition for universal MTDFs and show that there is a good algorithm for deciding whether a given three has a universal MTDF.
  • Original Articles
    Some results on universal minimal total dominating functions
    Qi Zhi FANG, Mao Cheng CAI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 165-172.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we introduce the concepts of redundant constraint and exceptional vertex which play an important role in the characterization of universal minimal total dominating functions (universal MTDFs),and establish some further results on universal MTDFs in general graphs.By extending these results to trees,we get a necessary and sufficient condition for universal MTDFs and show that there is a good algorithm for deciding whether a given three has a universal MTDF.
  • 论文
    A type of new posteriori error estimators for Stokes problems
    Zhen Dong WANG, Lie Heng WANG, Ya Ru LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 173-182.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,a new discrete formulation and a type of new posteriori error estimators for the second-order element discretization for Stokes problems are presented,where pressure is approximated with piecewise first-degree polynomials and velocity vector field with piecewise second-degree polynomials with a cubic bubble function to be added.The estimators are the globally upper and locally lower bounds for the error of the finite element discretization.It is shown that the bubble part for this second-order element approximation is substituted for the other parts of the approximate solutions.
  • 论文
    A type of new posteriori error estimators for Stokes problems
    Zhen Dong WANG, Lie Heng WANG, Ya Ru LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 173-182.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,a new discrete formulation and a type of new posteriori error estimators for the second-order element discretization for Stokes problems are presented,where pressure is approximated with piecewise first-degree polynomials and velocity vector field with piecewise second-degree polynomials with a cubic bubble function to be added.The estimators are the globally upper and locally lower bounds for the error of the finite element discretization.It is shown that the bubble part for this second-order element approximation is substituted for the other parts of the approximate solutions.
  • Original Articles
    A type of new posteriori error estimators for Stokes problems
    Zhen Dong WANG, Lie Heng WANG, Ya Ru LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 173-182.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,a new discrete formulation and a type of new posteriori error estimators for the second-order element discretization for Stokes problems are presented,where pressure is approximated with piecewise first-degree polynomials and velocity vector field with piecewise second-degree polynomials with a cubic bubble function to be added.The estimators are the globally upper and locally lower bounds for the error of the finite element discretization.It is shown that the bubble part for this second-order element approximation is substituted for the other parts of the approximate solutions.
  • Original Articles
    A type of new posteriori error estimators for Stokes problems
    Zhen Dong WANG, Lie Heng WANG, Ya Ru LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 173-182.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,a new discrete formulation and a type of new posteriori error estimators for the second-order element discretization for Stokes problems are presented,where pressure is approximated with piecewise first-degree polynomials and velocity vector field with piecewise second-degree polynomials with a cubic bubble function to be added.The estimators are the globally upper and locally lower bounds for the error of the finite element discretization.It is shown that the bubble part for this second-order element approximation is substituted for the other parts of the approximate solutions.
  • 论文
    On the k-th lagrest eigenvalue of the Laplacian matrix of a graph
    Xiao Dong ZHANG , Jiong Sheng LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 183-190.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we give the upper bound and lower bound of k-th largest eigenvalue λ_k of the Laplacian matrix of a graph G in terms of the edge number of G and the number of spanning trees of G.
  • Original Articles
    On the k-th lagrest eigenvalue of the Laplacian matrix of a graph
    Xiao Dong ZHANG , Jiong Sheng LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 183-190.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we give the upper bound and lower bound of k-th largest eigenvalue λ_k of the Laplacian matrix of a graph G in terms of the edge number of G and the number of spanning trees of G.
  • Original Articles
    (Remarks on bifurcations of u″+μu-u~k=0(4≤k∈Z~+)
    Chang Pin LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 191-199.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we investigate the bifurcations of one class of steady-state reaction-diffusion equations of the form u″+μu-u~k=0,subject to u(0)=u(π)=0,where μ is a parameter,4≤k∈Z~+.Using the singularity theory based on the Liapunov-Schmidt reduction,some satisfactory results are obtained.
  • 论文
    (Remarks on bifurcations of u″+μu-u~k=0(4≤k∈Z~+)
    Chang Pin LI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 191-199.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we investigate the bifurcations of one class of steady-state reaction-diffusion equations of the form u″+μu-u~k=0,subject to u(0)=u(π)=0,where μ is a parameter,4≤k∈Z~+.Using the singularity theory based on the Liapunov-Schmidt reduction,some satisfactory results are obtained.
  • 论文
    (High accuracy analysis of elliptic eigenvalue problem for the Wilson nonconforming finite element)
    Dong Sheng WU
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 200-206.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,the Wilson nonconforming finite element is considered for solving elliptic eigenvalue problems.Based on an interpolation postprocessing,superconvergence estimates of both eigenfunction and eigenvalue are obtained.
  • Original Articles
    (High accuracy analysis of elliptic eigenvalue problem for the Wilson nonconforming finite element)
    Dong Sheng WU
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 200-206.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,the Wilson nonconforming finite element is considered for solving elliptic eigenvalue problems.Based on an interpolation postprocessing,superconvergence estimates of both eigenfunction and eigenvalue are obtained.
  • 论文
    (Convergence of linear multistep methods for two-parameter singular perturbation problems)
    Ai Guo XIAO, Shou Fu LI, Hong Yuan FU, Guang Nan CHEN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 207-217.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Some convergence results are given for A(α)-stable linear multistep methods applied to two classes of two-parameter singular perturbation problems,which extend the existing relevant results about one-parameter problems by Lubich.Some numerical examples confirm our results.
  • Original Articles
    (Convergence of linear multistep methods for two-parameter singular perturbation problems)
    Ai Guo XIAO, Shou Fu LI, Hong Yuan FU, Guang Nan CHEN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 207-217.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Some convergence results are given for A(α)-stable linear multistep methods applied to two classes of two-parameter singular perturbation problems,which extend the existing relevant results about one-parameter problems by Lubich.Some numerical examples confirm our results.
  • 论文
    (Parameter identification by mixed spectral-pseudospectral approximations
    Ben Yu GUO, Cha Ki Hyun, Yonghoon Kwon
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 218-232.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Several mixed Legendre spectral-pseudospectral approximations and Chebyshev-Legendre approximations are proposed for estimating parameters in differential equations.They are easy to be performed,and have the spectral accuracy.The numerical results coincide with those of the theoretical analysis.It is easy to generalize the proposed methods to multiple-dimensional problems
  • 论文
    (Parameter identification by mixed spectral-pseudospectral approximations
    Ben Yu GUO, Cha Ki Hyun, Yonghoon Kwon
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 218-232.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Several mixed Legendre spectral-pseudospectral approximations and Chebyshev-Legendre approximations are proposed for estimating parameters in differential equations.They are easy to be performed,and have the spectral accuracy.The numerical results coincide with those of the theoretical analysis.It is easy to generalize the proposed methods to multiple-dimensional problems
  • Original Articles
    (Parameter identification by mixed spectral-pseudospectral approximations
    Ben Yu GUO, Cha Ki Hyun, Yonghoon Kwon
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 218-232.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Several mixed Legendre spectral-pseudospectral approximations and Chebyshev-Legendre approximations are proposed for estimating parameters in differential equations.They are easy to be performed,and have the spectral accuracy.The numerical results coincide with those of the theoretical analysis.It is easy to generalize the proposed methods to multiple-dimensional problems
  • Original Articles
    (Parameter identification by mixed spectral-pseudospectral approximations
    Ben Yu GUO, Cha Ki Hyun, Yonghoon Kwon
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 218-232.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Several mixed Legendre spectral-pseudospectral approximations and Chebyshev-Legendre approximations are proposed for estimating parameters in differential equations.They are easy to be performed,and have the spectral accuracy.The numerical results coincide with those of the theoretical analysis.It is easy to generalize the proposed methods to multiple-dimensional problems
  • Original Articles
    (A new integral inequality with power nonlinearity and its discrete analogue)
    En Hao YANG
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 233-239.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    A new integral inequality with power nonlinearity is obtained,which generalizes some extensions of L.Ou-Iang's inequality given by B.G. Pachpatte.Discrete analogy of the new integral inequality and some application examples are also indicated.
  • 论文
    (A new integral inequality with power nonlinearity and its discrete analogue)
    En Hao YANG
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 233-239.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    A new integral inequality with power nonlinearity is obtained,which generalizes some extensions of L.Ou-Iang's inequality given by B.G. Pachpatte.Discrete analogy of the new integral inequality and some application examples are also indicated.
  • 论文
    (Asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations)
    Cheng Jian ZHANG, Xiao Xin LIAO
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 240-246.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    This paper deals with the asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations(DDEs).With the help of K.J. in't Hout's analytic technique for the numerical stability of onestep Runge-Kutta methods,we obtain that a multistep Runge-Kutta method for DDEs is stable iff the corresponding methods of ODEs is A-stable under suitable interpolation conditions.
  • Original Articles
    (Asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations)
    Cheng Jian ZHANG, Xiao Xin LIAO
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 240-246.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    This paper deals with the asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations(DDEs).With the help of K.J. in't Hout's analytic technique for the numerical stability of onestep Runge-Kutta methods,we obtain that a multistep Runge-Kutta method for DDEs is stable iff the corresponding methods of ODEs is A-stable under suitable interpolation conditions.
  • Original Articles
    (Behaviour of solutions of the quasilinear wave equations for mechanism with a boundary piston possessing mass)
    You Dong ZENG, Zu Chi CHEN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 247-254.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    This paper considers an initial-boundary value problem for the one-dimensional quasilinear wave equation originating from a mechanism with a boundary piston having mass.Under the genuine nonlinear conditions,if the C~1-norms of the non-zero initial data are small enough then the C~2-solution must blow up in a finite time interval.
  • 论文
    (Behaviour of solutions of the quasilinear wave equations for mechanism with a boundary piston possessing mass)
    You Dong ZENG, Zu Chi CHEN
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 247-254.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    This paper considers an initial-boundary value problem for the one-dimensional quasilinear wave equation originating from a mechanism with a boundary piston having mass.Under the genuine nonlinear conditions,if the C~1-norms of the non-zero initial data are small enough then the C~2-solution must blow up in a finite time interval.
  • Original Articles
    (The singularly perturbed problem for combustion reaction diffusion)
    Jia Qi MO
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 255-259.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    A singularly perturbed combustion reaction diffusion Robin boundary value problem is considered.Using the theory of differential ineaqality,the existence of solution to the problem is proved and the asymptotic estimation of the solution is obtained.
  • 论文
    (The singularly perturbed problem for combustion reaction diffusion)
    Jia Qi MO
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 255-259.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    A singularly perturbed combustion reaction diffusion Robin boundary value problem is considered.Using the theory of differential ineaqality,the existence of solution to the problem is proved and the asymptotic estimation of the solution is obtained.
  • 论文
    (Global attractor for the nonlinear strain waves in elastic waveguids)
    Zheng De DAI, Xian Yun DU
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 260-270.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper the authors consider the initial boundary value problems of the generalized nonlinear strain waves in elastic waveguides and prove the existence of global attractors and the finiteness of the Hausdorff and the fractal dimensions of the attractors.
  • Original Articles
    (Global attractor for the nonlinear strain waves in elastic waveguids)
    Zheng De DAI, Xian Yun DU
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 260-270.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper the authors consider the initial boundary value problems of the generalized nonlinear strain waves in elastic waveguides and prove the existence of global attractors and the finiteness of the Hausdorff and the fractal dimensions of the attractors.
  • Original Articles
    (Multiple positive solutions to BVPS for higher order nonlinear differential equations in Banach spaces)
    Shi Shuo QI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 271-278.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this article,the author employs the conical expansion and compression fixed point principle and the fixed point index theory to show that there exist at least two positive solutions for a higher order BVP.
  • 论文
    (Multiple positive solutions to BVPS for higher order nonlinear differential equations in Banach spaces)
    Shi Shuo QI
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 271-278.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this article,the author employs the conical expansion and compression fixed point principle and the fixed point index theory to show that there exist at least two positive solutions for a higher order BVP.
  • 论文
    (A class of quasilinear elliptic hemivariational inequalities
    Zhen Hai LIU
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 279-285.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we shall deal with quasilinear elliptic hemivariational inequalities.By the use of the theory of multivalued pseudomonotone mappings,we will prove the existence of solutions
  • Original Articles
    (A class of quasilinear elliptic hemivariational inequalities
    Zhen Hai LIU
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 279-285.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we shall deal with quasilinear elliptic hemivariational inequalities.By the use of the theory of multivalued pseudomonotone mappings,we will prove the existence of solutions
  • Original Articles
    ON TRAVELING WAVES OF A GENERALIZED BISTABLE EQUATION
    Ling Hai ZHANG
    Acta Mathematicae Applicatae Sinica(English Series). 2001, 17(2): 286-288.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
Journal Online
News More