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SOME NEW FAMILIES OF SDSS AND HADAMARD MATRICES

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Acta math.matica Scientia 1996年第2期16卷 153-161页

作者：夏明远 Dept. of math. Huazhong Normal Univ. Wuhan 430070 China

In this paper we prove that for any prime power q equivalent to 3 (mod 8) there exist 4 - {q(2); k, k, k, k; lambda} supplementary difference sets (SDSs) with k = q(q - 1)/2, lambda 4k - q(2), and Hadamard matrices of order 4q(2), and give several constructions of these SDSs. Moreover, combining the results of reference [1], we conclude that for any prime p equivalent to 3 (mod 8) and integer r greater than or equal to 1 there exists an Hadamard matrix of order 4p(2r).

关键词： abelian group finite field supplementary difference sets Hadamard matrix

An optimal rigidity theorem for complete submanifolds in a sphere

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 219-226页

作者： XU Hong-wei ZHU Jiao-feng Center of math. Sci. Zhejiang Univ. Hangzhou 310027 China

It is proved that if M^n is an n-dimensional complete submanifold with parallel mean curvature vector and flat normal bundle in S^n＋p（1）, and if supM S 〈 α（n, H）, where α（n,H）=n＋n^3/2（n-1）H^2-n（n-2）/n（n-1）√n^2H^4＋4（n-1）H^2,then M^n must be the totally urnbilical sphere S^n（1/√1＋H^2）.An example to show that the pinching constant α（n, H） appears optimal is given.

关键词： submanifold rigidity flat normal bundle mean curvature.

A CLASS OF MIXED-TYPE FUNDAMENTAL PROBLEMS ON ELASTIC HALF-PLANE

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Acta math.matica Scientia 1990年第4期10卷 375-382页

作者： Chien-keLu 路见可 Dept. of math. Wuhan Univ. Wuhan China

The problems of equilibrium of an elastic half-plane with loads on some intervals of the boundary and zero displacements on its other parts are discussed. The solutions of such problems are expressed in terms of integrals by reducing them to Riemann boundary value problems. The analytic expressions of the solutions are obtained in cases of uniform loads. In particular, the solution is written in detail for the important case when uniform pressure is given on a single interval or two equal intervals.

关键词： der In A CLASS OF MIXED-TYPE FUNDAMENTAL PROBLEMS ON ELASTIC HALF-PLANE

Bernstein type theorem of minimal Lagrangian graphs in quaternion Euclidean space H^n

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Applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 114-118页

作者： HAN Ying-bo Dept. of math. Southeast Univ. Nanjing 211189 China

In this paper, a Bernstein type theorem for minimal Lagrangian submanifolds in quaternion Euclidean space H^n is studied.

关键词： Bernstein type theorem minimal Lagrangian graph

GROUND STATES OF A NONLINEAR ELLIPTICSYSTEM IN R^N

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Acta math.matica Scientia 1997年第3期17卷 283-300页

作者：杨健夫 Young Scientist Laboratory of math. Phys. Wuhan Inst. of Phys. and Math. Chinese Academy of Sciences Wuhan 430072 China department of math.matics Nanchang University Nancnang 330047 China

We investigate existence of ground states of nonlinear elliptic systems in R-N and establish decaying laws for solutions of the systems at infinity.

关键词： ground state nonlinear elliptic system decaying law

SOME PROBLEMS FOR LINEAR ELASTIC SYSTEMS WITH DAMPING

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Acta math.matica Scientia 1990年第3期10卷 319-326页

作者：黄发伦 Dept. of math. Sichuan Univ. Chengdu China

In the present paper we investigate linear elastic systems with damping in Hilbert spaces, where A and B ars unbounded positive definite linear operators. We have obtained the most fundamental results for the holomorphic property and exponential stability of the semigroups associated with these systems via inclusion relation of the domains of A and B.

关键词： Th SOME PROBLEMS FOR LINEAR ELASTIC SYSTEMS WITH DAMPING IA BA

UNIQUENESS OF THE MILD SOLUTION OF SEMILINEAR STOCHASTIC EVOLUTION EQUATION IN HILBERT SPACE

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Acta math.matica Scientia 1993年第4期13卷 384-390页

作者：许明浩胡则成 Dept. of math. Wuhan Univ. Wuhan 430072 China Dept. of math. Wuhan Univ. of Tech. Wuhan 430070 China

In this paper, we will consider following initial value problem of semilinear stochastic evolution equation in Hilbert Space: [GRAPHICS] where W(t) is a wiener process in H, H and Y are two real separable Hilbert Spaces, A is an infinitesimal generator of a strongly continuous semigroup s(t) on Y, f(t, y): [0, T] x Y --> Y, and G(t, y): [0, T] X Y --> L(H, Y), y0: OMEGA --> Y is a ramdom variable of square integrable. We apply theory of the semigroup and obtain two conclusions of uniqueness of the mild solution of (1) which include the corresponding results in [4].

关键词： MILD UNIQUENESS OF THE MILD SOLUTION OF SEMILINEAR STOCHASTIC EVOLUTION EQUATION IN HILBERT SPACE

A NOTE ON EQUIVARIANT VECTOR FIELDS

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Acta math.matica Scientia 1991年第3期11卷 274-282页

作者：姜伯驹 Dept. of math. Peking Univ. Beijing China

1. Introduction. Throughout this note, G is a finite group, M is a compact connected smooth on-dimensional manifold with or without boundary M, and G acts smoothly on M. We follow the standard notations ([B], [tD]). T... 详细信息

关键词： A NOTE ON EQUIVARIANT VECTOR FIELDS

APPROXIMATION OF SINGULAR INTEGRALS BY INTERPOLATING SPLINES

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Acta math.matica Scientia 1991年第1期11卷 20-31页

作者：王建忠 Dept. of math. Wuhan Univ. Wuhan China

In this paper we are mainly concerned with the approximation of the following type of singular Integrals: where w(t)≥0 is a weight function, f(x) a real continuous function on [a, b], satisfying certain smooth condit... 详细信息

关键词： In APPROXIMATION OF SINGULAR INTEGRALS BY INTERPOLATING SPLINES