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RECURRENCE FOR THE GENERALIZED BIRTH-DEATH CHAINS IN A RANDOM ENVIRONMENT

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Acta math.matica Scientia 1990年第1期10卷 111-120页

作者：丁万鼎 dept. of math. Anhui Normal Univ. Wuhu

This is a study of one dimensional generalized birth-death chains in a random environment (GBDIRE). We give two sufficient conditions of recurrence for GBDIRE.

关键词： Th RECURRENCE FOR THE GENERALIZED BIRTH-DEATH CHAINS IN A RANDOM ENVIRONMENT RTH exp

APPLICATIONS OF THE THREE CRITICAL POINTS THEOREM IN QUASILINEAR ELLIPTIC EQUATIONS

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Acta math.matica Scientia 1985年第3期5卷 279-288页

作者：沈尧天郭信康 dept. of math. University of Science & Technology of China Hefei China dept. of math. Guangxi University Nanning China

In this paper, using the three critical points theorem which is presented by Chang Gongqing (张恭庆) in reference [1], we prove the following homogeneous Dirichlet problem:

关键词： ID 一夕一几一刁

Twisting theory for weak Hopf algebras

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Applied math.matics(A Journal of Chinese Universities) 2008年第1期23卷 91-100页

作者： CHEN Ju-zhen ZHANG Yan WANG Shuan-hong dept. of math. Southeast Univ. Nanjing 210096 China.

The main aim of this paper is to study the twisting theory of weak Hopf algebras and give an equivalence between the （braided） monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf a... 详细信息

关键词： weak Hopf algebra weak Hopf bimodule twisting theory.

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

ON CRACK PROBLEMS IN AN INFINITE PLANE CONSISTING OF THREE DIFFERENT MEDIA

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Acta math.matica Scientia 1989年第1期9卷 67-74页

作者：路见可 dept. of math. Wuhan Unvi. Wuhan China

The math.matical problem of an infinite elastic plane consisting of three different media with an arbitrary number of cracks is considered. It is reduced to singular integral equations along the interfaces and the cra... 详细信息

关键词： ON CRACK PROBLEMS IN AN INFINITE PLANE CONSISTING OF THREE DIFFERENT MEDIA

MEAN VALUE OF ANALYTIC OPERATOR FUNCTIONS

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Acta math.matica Scientia 1995年第4期15卷 468-473页

作者：喻小培蹇明 dept. of math. Central China Normal University Wuhan 430070 China dept. of math. & phys.cs Wuhan Univ. of Technology Wuhan 430070 China

In this paper, it is proved that if A is a normal proper contraction on Hilbert space H and F(z) = U(z) + iV(z) is operator-valued analytic on the unit disc Delta and 0 < p < 1, then parallel to F(A)parallel to(p) les... 详细信息

关键词： Hilbert space operator operator-valued function proper contraction

SOLUTIONS OF THE BENJAMIN-ONO EQUATION IN FRACTIONAL ORDER SOBOLEV SPACES

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Acta math.matica Scientia 1992年第3期12卷 286-291页

作者：冯学尚 dept. of math. Lanzhou University Lanzhou 730000 China

We show for the Benjamin-Ono equation an existence uniqeness theorem in Sobolev spaces of arbitrary fractional order s greater-than-or-equal-to 2, provided the initial data is given in the same space.

关键词： SOLUTIONS OF THE BENJAMIN-ONO EQUATION IN FRACTIONAL ORDER SOBOLEV SPACES der

APPROXIMATE ISOMETRIES ON (F)-NORMED SPACES

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Acta math.matica Scientia 1989年第4期9卷 463-477页

作者：黄森忠 dept. of math. Nankai Univ. Tianjin China

By considering the connection of approximate isometry with isometry we study the following problem "For what subclass of (F)-normed spaces the metric structure completely determines the linear constructure and further, what form can be taken when we represent an approximate isomaetry as a perturbation of isometry. We introduce a subclass of so-called midpoint p-constracted (F)-normed spaces. For this subclass some new results are obtained and especially the known results of Mazur-Ulam and Gervitz-Gruber are extended.

关键词： Frech?t空间几乎保距算子

CORRECTION OF BILINEAR FINITE ELEMENT

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Acta math.matica Scientia 1991年第1期11卷 13-19页

作者：陈传淼 dept. of math. Xiangtan Univ. Hunan China

Consider -△u=f in rectangle Ω, u=0 on Ω. Let u_h∈S_h be bilinear Galerkin projection of u. We proved the following: 1) superconvergence D_(xy)~2(u-u_h)=0(h^2Inh)|u|_(4,∞) at center Z_j of each rectangle element τ_j holds; 2) we can construct a piecewise linear contitnuous function w^h by D_(xy)~2u_h and define q_h∈S_h satisfying(▽q_h,▽v)=-1/3(h^2+k^2)(w^h,D_(xy)~2v),v∈S_h;3) correction _h=u_h+q_h are of high accuracy u-_h=0(h^4|Inh|~2)‖u‖_(4,∞);4) by _h the correction derivatives can be got such that Du-=0(h^3 |In h|~2)‖u‖^(4,∞).

关键词：超收敛性双线性有限元分片双线性连续函数