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TWO-DIMENSIONAL SINGULAR INTEGRAL EQUATIONS OF THE HYPERCOMPLEX FUNCTIONS

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Acta math.matica Scientia 1996年第1期16卷 44-50页

作者：刘春根 dept. of math. Nankai Univ. Tianjin 30071 China

In this paper, it is considered for some two-dimensional singular integral equations of the hypercomplex functions in the Douglis sense. In some special cases, the Fredholm' conditions and index formula of such equati... 详细信息

关键词： singular integral equation hypercomplex function index formula

A solution to parabolic system with the fractional Laplacian

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Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 184-190页

作者： FANG Lin FANG Dao-yuan dept. of math. Zhejiang Univ. Hangzhou 310027 China

The existence of a solution to the parabolic system with the fractional Laplacian （-△） α/2, α 〉 0 is proven, this solution decays at different rates along different time sequences going to infinity. As an application, the existence of a solution to the generalized Navier-Stokes equations is proven, which decays at different rates along different time sequences going to infinity. The generalized Navier-Stokes equations are the equations resulting from replacing -△ in the Navier-Stokes equations by （-△）^m, m〉 0. At last, a similar result for 3-D incompressible anisotropic Navier-Stokes system is obtained.

关键词： parabolic system fractional Laplacian decay rate

A weak invariance principle for self-normalized products of sums of mixing sequences

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 183-189页

作者： FU Ke-ang HUANG Wei dept. of math. Zhejiang Univ. Hangzhou 310027 China

Let variables in the {X, Xn, n ≥ 1} be a sequence of strictly stationary φ-mixing positive random domain of attraction of the normal law. Under some suitable conditions the principle for self-normalized products of ... 详细信息

关键词： self-normalized product domain of attraction of the normal law φ-mixing Wiener process.

Quaternary quasi-cyclic codes

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Applied math.matics(A Journal of Chinese Universities) 2008年第3期23卷 359-365页

作者： PEI Jun-ying ZHANG Xue-jun dept. of math. Soochow Univ. Suzhou 215006 China

Quasi-cyclic codes of length mn over Z4 are shown to be equivalent to A-submodules of A^n, where A = Z4[x]/（x^m - 1）. In the case of m being odd, all quasi-cyclic codes are shown to be decomposable into the direct sum of a fixed number of cyclic irreducible A-submodules. Finally the distinct quasi-cyclic codes as well as some specific subclasses are enumerated.

关键词： quasi-cyclic code primary component type

A　CHARACTERIZATION　OF　THE　SOLUTIONS　OF　p－ORDER　FEIGENBAUM＇S　FUNCTIONAL　EQUATION　WITH　TOPOLOGICAL　ENTROPY　0

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Acta math.matica Scientia 1996年第1期16卷 38-43页

作者：廖公夫 dept. of math. Jilin Univ. Changchun 130023 China

Let f be a continuous anti-unimodal solution of a p-order Frigenbaum's dunctioal equation.A criterion is given to determine whether or not the topological entropy of j is *** a continuous anti-unimodal solution of 4-o... 详细信息

关键词： Feigenbaum's functional equation Anti-unimodal solution Topological entropy.

Heteroscedasticity check in nonlinear semiparametric models based on nonparametric variance function

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Applied math.matics(A Journal of Chinese Universities) 2008年第4期23卷 401-409页

作者： QU Xiao-yi LIN Jin-guan dept. of math. Southeast Univ. Nanjing 210096 China

The assumption of homoscedasticity has received much attention in classical analysis of regression. Heteroscedasticity tests have been well studied in parametric and nonparametric regressions. The aim of this paper is to present a test of heteroscedasticity for nonlinear semiparametric regression models with nonparametric variance function. The validity of the proposed test is illustrated by two simulated examples and a real data example.

关键词： heteroscedasticity check nonlinear semiparametric regression model asymptotic normality nonparametric variance function

SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

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Acta math.matica Scientia 1998年第2期18卷 221-226页

作者：张福保 dept. of math. Xuzhou Normal Univ Xuzhou 221009 China

In this paper, mainly by means of the coincidence degree method, the existence of solutions for m-point boundary value problems at resonance of second order ordinary differential equations is discussed.

关键词： coincidence degree m-point BVP resonance Caratheodory's conditions

STRONG　CODING　THEOREM　AND　ASYMPTOTIC　ERROR　EXPONENT　OF　ARBITRARILY　VARYING　SOURCE

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Acta math.matica Scientia 1996年第1期16卷 23-30页

作者：符方伟沈世镒 dept. of math. Nankai Univ. Tianjin 300071 China

Csiszar's strong coding theorem for discrete memoryless scarce is generalized to arbitrarily varying *** also determine the asymptotic error exponent for arbitrarily wrying source.

关键词： arbitrarily varying source,coding theorem,error exponent information quantity,types.

THE C^k INSTABILITY OF NAVIER-STOKES EQUATION APPEND-ING POLYNOMIALS OF UNKNOWN FUNCTIONS

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Applied math.matics and Mechanics(English Edition) 2000年第12期21卷 1440-1449页

作者：何幼桦施惟慧 dept. of math. Shanghai Univ. Shanghai 210800 China

Applying the theory of stratification, the solution space structure about a class of deformed Navier-Stokes equation is determined. It is proved that such kind of equation has no C-k( k greater than or equal to2) stab... 详细信息

关键词： Navier-Stokes equation unstable equation strate transversale