15 March 2000, Volume 16 Issue 3
    

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  • Original Articles
    Backward stochastic differential equation with random measures
    Jian Ming XIA
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 225-234.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Backward stochastic differential equations (BSDE) are discussed in many papers.However,in those papers,only Brownian motion and Poisson process are considered.In this paper,we consider BSDE driven by continuous local martingales are random measures.
  • 论文
    Backward stochastic differential equation with random measures
    Jian Ming XIA
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 225-234.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    Backward stochastic differential equations (BSDE) are discussed in many papers.However,in those papers,only Brownian motion and Poisson process are considered.In this paper,we consider BSDE driven by continuous local martingales are random measures.
  • 论文
    A new descent algorithm for solving quadratic bilevel programming problems
    Ji Ye HAN, Guo Shan LIU, Shou Yang WANG
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 235-244.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we given a descent algorithm for solving quadratic bilevel programming problems.It is proved that the descent algorithm finds a locally optimal solution to a quadratic bilevel programming problem in a finite number of iterations.Two numerical examples are given to illustrate this algorithm.
  • Original Articles
    A new descent algorithm for solving quadratic bilevel programming problems
    Ji Ye HAN, Guo Shan LIU, Shou Yang WANG
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 235-244.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we given a descent algorithm for solving quadratic bilevel programming problems.It is proved that the descent algorithm finds a locally optimal solution to a quadratic bilevel programming problem in a finite number of iterations.Two numerical examples are given to illustrate this algorithm.
  • 论文
    (Error estimation of prediction-correction Legendre spectral approximation to incompressible fluid flow)
    Li Ping HE, Ben Yu GUO, De Kang MAO
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 245-257.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered.A prediction-correction Legendre spectral scheme is presented,which is easy to be performed.It is strictly proved that the numerical solution possesses the accuracy of second-order in time and higher order in space.
  • Original Articles
    (Error estimation of prediction-correction Legendre spectral approximation to incompressible fluid flow)
    Li Ping HE, Ben Yu GUO, De Kang MAO
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 245-257.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered.A prediction-correction Legendre spectral scheme is presented,which is easy to be performed.It is strictly proved that the numerical solution possesses the accuracy of second-order in time and higher order in space.
  • Original Articles
    BESOV SPACES AND K-FUNCTIONALS IN
    Song LI, Zheng Chang WU, Bo lin MA
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 258-265.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π],algebraic polynomial approximation in L_p[－1,1],algebraic polynomial approximation in L_p(S),and entire function of exponential type approximation in L_p(R),and characterize K-functionals for certain pairs of function spaces including (L_p[－π,π],B~α_S(L_p[－π,π])),(L_p(R),B~α_S(L_p(R))),B〖TX-〗~α_S(L_p[－1,1], and (L_p(S),B〖DD(〗=〖DD)〗~α_S(L_p(S))),where 0
  • 论文
    BESOV SPACES AND K-FUNCTIONALS IN
    Song LI, Zheng Chang WU, Bo lin MA
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 258-265.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π],algebraic polynomial approximation in L_p[－1,1],algebraic polynomial approximation in L_p(S),and entire function of exponential type approximation in L_p(R),and characterize K-functionals for certain pairs of function spaces including (L_p[－π,π],B~α_S(L_p[－π,π])),(L_p(R),B~α_S(L_p(R))),B〖TX-〗~α_S(L_p[－1,1], and (L_p(S),B〖DD(〗=〖DD)〗~α_S(L_p(S))),where 0
  • Original Articles
    Attractor and dimension for strongly damped nonlinear wave equation
    Sheng Fan ZHOU
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 266-273.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we prove the existence of the global attractor and obtain an estimate of the upper bound of Hausdorff dimension of the attractor for strongly damped nonlinear wave equation with Dirichlet boundary condition by introducing a new norm.The Hausdorff dimension obtained remains small for large damping,which conforms to the physical intuition.
  • 论文
    Attractor and dimension for strongly damped nonlinear wave equation
    Sheng Fan ZHOU
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 266-273.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
    In this paper,we prove the existence of the global attractor and obtain an estimate of the upper bound of Hausdorff dimension of the attractor for strongly damped nonlinear wave equation with Dirichlet boundary condition by introducing a new norm.The Hausdorff dimension obtained remains small for large damping,which conforms to the physical intuition.
  • 论文
    STUDYING AN OVERLOAD SYSTEM USING ROTATION
    Yi Qiang ZHAO, ALFA SULE ATTAUIRU
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 274-282.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
  • Original Articles
    STUDYING AN OVERLOAD SYSTEM USING ROTATION
    Yi Qiang ZHAO, ALFA SULE ATTAUIRU
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 274-282.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
  • Original Articles
    THE WAVELET DETECTION OF THE JUMP AND CUSP POINTS OF A REGRESSION FUNCTION
    Yuan LI, Zhong Jie XIE
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 283-291.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
  • Original Articles
    THE WAVELET DETECTION OF THE JUMP AND CUSP POINTS OF A REGRESSION FUNCTION
    Yuan LI, Zhong Jie XIE
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 283-291.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
  • 论文
    THE WAVELET DETECTION OF THE JUMP AND CUSP POINTS OF A REGRESSION FUNCTION
    Yuan LI, Zhong Jie XIE
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 283-291.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
  • 论文
    THE WAVELET DETECTION OF THE JUMP AND CUSP POINTS OF A REGRESSION FUNCTION
    Yuan LI, Zhong Jie XIE
    Acta Mathematicae Applicatae Sinica(English Series). 2000, 16(3): 283-291.
    Abstract ( )    Download PDF ( )   Knowledge map   Save
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