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Multilinear singular and fractional integrals on weighted Hardy spaces

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applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 214-220页

作者： ZHANG Pu LAN Jia-cheng dept. of math. Mudanjiang Teachers College Mudanjiang 157012 China dept. of math. Lishui College Lishui 323000 China

In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied.

关键词： multilinear singular integral multilinear fractional integral Lipschitz function L^r-Dini condition weighted Hardy space

INITIAL BOUNDARY VALUE PROBLEMS FOR A CLASS OF NONLINEAR INTEGRO－PARTIAL DIFFERENTIAL EQUATIONS

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applied math.matics and Mechanics(English Edition) 1994年第4期15卷 389-404页

作者：崔尚斌屈长征 dept. of math. Lanzhou Univ. Lanzhou dept. of math. Northwest Univ. Xi'an

This paper studies the global existence of the classical solutions to the following problem:This problem describes the nonlinear vibrations of finite rods with nonlinear vis-coelasticity. Under certain conditions on ... 详细信息

关键词： integro-partial differential equation initial value problem global classical solution

Periodic boundary value problem for the first order functional differential equations with impulses

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applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 27-35页

作者： LIANG Rui-xi SHEN Jian-hua dept. of math. Hunan Normal Univ. Hunan 410081 China dept. of math. Huaihua College Hunan 418008 China

This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is pres... 详细信息

关键词： functional differential equation periodic boundary value problem lower and upper solution monotone iterative method

Pointwise characterization for combinations of Szász-Mirakjan operators

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applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 202-212页

作者： XIE Lin-sen SHI Zhong-rui dept. of math. Shanghai Univ. Shanghai 200444 China dept. of math. Lishui Univ. Lishui 323000 China

The purpose of this paper is to characterize the pointwise rate of convergence for the combinations of Szász-Mirakjan operators using Ditzian-Totik modulus of smoothness.

关键词： Szász-Mirakjan operator combination pointwise approximation.

Two algorithms for two-phase Stefan type problems

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applied math.matics(A Journal of Chinese Universities) 2009年第3期24卷 298-308页

作者： LIAN Xiao-peng CHENG Xiao-liang HAN Wei-min dept. of math. Zhejiang Univ. Hangzhou 310027 China dept. of math. University of Iowa Iowa City IA 52242 USA

In this paper,the relaxation algorithm and two Uzawa type algorithms for solving discretized variational inequalities arising from the two-phase Stefan type problem are *** analysis of their convergence is presented and the upper bounds of the convergence rates are *** numerical experiments are shown to demonstrate that for the second Uzawa algorithm which is an improved version of the first Uzawa algorithm,the convergence rate is uniformly bounded away from 1 if τh^-2 is kept bounded,where τ is the time step size and h the space mesh size.

关键词： relaxation method Uzawa algorithm variational inequality two-phase Stefan type problem

LAGRANGE EQUATION OF A CLASS OF NONHOLONOMIC SYSTEMS

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applied math.matics and Mechanics(English Edition) 1991年第5期12卷 421-424页

作者：高普云郭仲衡 dept. of math. Xiangtan Normal School Xiangtan dept. of math. Peking University Beijing

Making use of conclusions from [1]: (1) d-δ operations are commutative; (2) the Appell-Chetaev condition restricting virtual displacements is superfluous, the present paper derives the Lagrange equation without multipliers for a class of first-order nonlinear nonholonomic dynamical systems by means of variational principle. This kind of equations is new.

关键词： math.matical Techniques Variational Techniques

Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

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applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 151-167页

作者： XU Jiang FANG Dao-yuan dept. of math. Nanjing Univ. of Aeronautics and Astronautics Nanjing 210016 China dept. of math. Zhejiang Univ. Hangzhou 310027 China

In this paper, the asymptotic stability of smooth solutions to the multidimensional nonisentropic hydrodynamic model for semiconductors is established, under the assumption that the initial data are a small perturbation of the stationary solutions for the thermal equilibrium state, whose proofs mainly depend on the basic energy methods.

关键词： asymptotic stability smooth solutions hydrodynamic model semiconductor.

EXISTENCE OF SOLUTIONS FOR A SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR THE THIRD ORDER SEMI-LINEAR DIFFERENTIAL EQUATION WITH A TURNING POINT

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applied math.matics and Mechanics(English Edition) 1993年第12期14卷 1089-1093页

作者：蔡建平林宗池 dept. of math. Zhangzhou Normal College Fujian dept. of math. Fujian Normal University Fuzhou

In this paper, by using the techniques of differential inequalities, we prove the existence of the solutions of a singularly perturbed boundary value problem for the third order semilinear differential equation with a... 详细信息

关键词： turning point semi-linear singular perturbation

REFERENCE FUNCTIONAL AND CHARACTERISTIC SPACE FOR LAGRANGE AND BERNSTEIN OPERATORS

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Analysis in Theory and Applications 1995年第4期11卷 6-14页

作者： S.De Marchi M.Morandi Cecchi dept. of Pure and applied math. Via Belzoni 7-Padova ItalyDept. of Pure and Applied Math. Via Belzoni 7-Padova Italy

This paper deals with the description and the representation of polynomials defined over n-simplices, The polynomials are computed by using two recurrent schemes: the Neville-Aitken one for the Lagrange interpolating operator and the De Casteljau one for the Bernstein-Bezier approximating operator. Both schemes fall intothe framework of transformations of the form where the F iare given numbers (forexample, at the initial step they coincide with the values of the function on a given lattice), and the coefficients (x) are linear polynomials valued in x and x is fixed. A general theory for such sequence of transformations can be found in [2] where it is also proved that these tranformations are completely characterized in term of a linear functional, reference functional. This functional is associated with a linear space., characteristic *** concepts of reference functionals and characteristic spaces will be used and we shall prove the existence of a characteristic space for the reference functional: associated with these operators.

关键词： REFERENCE FUNCTIONAL AND CHARACTERISTIC SPACE FOR LAGRANGE AND BERNSTEIN OPERATORS