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On the Burgers-Ginzburg-Landau Equations

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 143-147页

作者： Boling GUO and Haiyang HUANG(Center of Nonlinear Studies. Institute of Applied phys.cs and Computationalmath.matics, Beijing, 100088. China)(dept. of math. Beijing Normal University. Beijing 100875. China)E-mail: hhywsg@*** Center of Nonlinear Studies Inst. Appl. Phys. and Compl. Math. Beijing 100088 China dept. of math. Beijing Normal University Beijing 100875 China

In this paper we consider the Burger-Ginzburg-Landau equations. and provethe existence of the global attractor in with finite Hausdorff and fractaldimensions.

关键词： Burger-Ginzbur-Landau equations mild solution global attractor hausdorff and fractal dimensions

Generalized fuzzy ideals of near-rings

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Applied math.matics(A Journal of Chinese Universities) 2009年第3期24卷 343-349页

作者： ZHAN Jian-ming Davvaz B. dept. of math. Hubei Institute for Nationalities Enshi 445000 China dept. of math. Yazd University Yazd Iran

The concept of（∈,∈∨q）-fuzzy subnear-rings（ideals） of a near-ring is introduced and some of its related properties are *** particular,the relationships among ordinary fuzzy subnear-rings（ideals）,（∈,∈∨ q）-fuzzy subnear-rings（ideals） and（∈,∈∨q）-fuzzy subnear-rings（ideals） of near-rings are ***,some characterization of [μ]t is given by means of（∈,∈∨ q）-fuzzy ideals.

关键词： near-ring subnear-ring (ideal) (∈,∈ ∨ q)-fuzzy subnear-ring (ideal) (∈ ∈∨ q)-fuzzy subnear-ring(ideal)

Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALETRANSFORMS

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Acta math.matica Scientia 1997年第3期17卷 269-275页

作者：刘培德吐尔德别克 dept. of math. Wuhan University Wuhan 430071 China dept. of math. Xinjiang University Ulumuqi 830046 China

Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give sev... 详细信息

关键词： AUMD space Hardy martingale martinale transform geometry of complex Banach space

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

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.