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Multiplicity of Periodic Solutions of Duffing Equations with Jumping Nonlinearities

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Acta Mathematicae Applicatae Sinica 2002年第3期18卷 513-522页

作者： Zai-hong WangDepartment of mathematics, Capital normal {2., beijing 100037, china Department of mathematics Capital Normal University Beijing China

We provide sufficient conditions for the existence and multiplicity of subharrnonic solutions for Duffing's equations with jumping nonlinearities.

关键词： Periodic solution. Jumping nonlinearity PS-condition

Representation type of 0-Hecke algebras

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Science china mathematics 2011年第3期54卷 411-420页

作者： DENG BangMing1 & YANG GuiYu2.1Department of mathematics, beijing normal university, {2. 100875, china 2.chool of Science, Shangdong university of Technology, Zibo 2.5049, china Department of mathematics Beijing Normal University Beijing China School of Science Shangdong University of Technology Zibo China

In the present paper we determine the representation type of the 0-Hecke algebra of a finite Coxeter group.

关键词： Coxeter group 0-Hecke algebra representation type

A Remark on Multilinear Oscillatory Singular Integrals

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Acta Mathematica Sinica,English Series 2000年第4期16卷 655-668页

作者： Shanzhen Lu Dunyan Yan Department of mathematics, beijing normal university, {2. 100875. P. R. china Department of mathematics Beijing Normal University Beijing 100875 P. R. China

In this paper we study multilinear oscillatory singular integrals with rough kernel and give a criterion of certain boundedness for this kind of operator

关键词： Multilinear oscillatory integrals Calderon-Zygmund kernel BLO space

Taxonomic circumscription of Sinojackia xylocarpa (Styracaceae)

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Journal of Systematics and Evolution 2011年第2期49卷 163-164页

作者： 1 li-Qun LUO 2.Chi LUO 1 (Department of Chemistry and life Science, Leshan {2. university, Leshan 614004,{2.) 2.(Department of mathematics, Leshan {2. university, Leshan 614004,{2.) (Department of Chemistry and life Science Leshan Normal University Leshan 614004 China) (Department of mathematics Leshan Normal University Leshan 614004 China)

Sinojackia xylocarpa Hu in Journ. Arn. Arb. 9: 130. 192.. Type: china. Jiangsu: Nanjing, Y. L. Keng 1376 (PE!). Sinojackia rehderiana Hu in Journ. Arn. Arb. 11: 2.7. 1930, syn. nov. Type: china. Jiangxi: Nanchang, H. ... 详细信息

关键词： PE Styracaceae Taxonomic circumscription of Sinojackia xylocarpa

Cu(Ⅱ) Potentiation of Alzheimer Aβ1-40 Cytotoxicity and Transition on its Secondary Structure

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Acta Biochimica et Biophysica Sinica 2006年第11期38卷 765-772页

作者： Xue-ling DAI~1 Ya-Xuan SUN~2.Zhao-Feng JIANG~2. 1 College of life Science,Capital {2. university,{2. 100037,china 2.College of Applied Sciences and Humanities,{2. Union university,{2. 100083,china College of life Science Capital Normal UniversityBeijing 100037 China College of Applied Sciences and Humanities Beijing Union UniversityBeijing 100083 China

Mounting evidence has shown that dyshomeostasis of the redox-active biometals such as Cuand Fe can lead to oxidative stress,which plays a key role in the neuropathology of Alzheimer's disease（AD）.Here we demonstrate that with the formation of Cu（Ⅱ）·Aβ1-40 complexes,copper markedly potentiatesthe neurotoxicity exhibited by β-amyloid peptide （Aβ）.A greater amount of hydrogen peroxide was releasedwhen Cu（Ⅱ）·Aβ1-40 complexes was added to the xanthine oxidase/xanthine system detected by potassiumiodide *** bound to Aβ1-40 was observed by electron paramagnetic resonance（EPR） *** dichroism （CD） studies indicated that copper chelation could cause a structuraltransition of Aβ.The addition of copper to Aβ introduced an increase on β-sheet as well as α-helix,whichmay be responsible for the aggregation of Aβ.We hypothesized that Aβ aggregation induced by copper maybe responsible for local injury in *** interaction between Cu2.and Aβ also provides a possible mechanismfor the enrichment of metal ions in amyloid plaques in the AD brain.

关键词： Alzheimer’s disease Cu(Ⅱ)·Aβ1-40 complex neuron injury Aβ secondary structure

Weighted estimates for the multilinear singular integral operators with non-smooth kernels

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Science china mathematics 2011年第3期54卷 587-602页

作者： HU GuoEn1 & LU ShanZhen2.1Department of Applied mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002.{2. 2.epartment of mathematics, beijing normal university, beijing 100875,{2. Department of Applied mathematics Zhengzhou Information Science and Technology Institute Zhengzhou China Department of mathematics Beijing Normal University Beijing China

In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smoot... 详细信息

关键词： approximation to the identity weighted norm inequality singular integral operator non-smooth kernel Calderón-Zygmund decomposition

Strong uniqueness of best approximations in spaces of bounded linear operators

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Science china mathematics 2004年第3期47卷 339-351页

作者： li Chong HE Jinsu Department of mathematics, Zhejiang {2. Hangzhou 31002.,{2. Department of mathematics, Zhejiang normal {2. Jinhua 32.004,{2. Department of mathematics Zhejiang University Hangzhou China Department of mathematics Zhejiang Normal University Jinhua China

The present paper is concerned with problems of the strong uniqueness of the best approximation and the characterization of a uniqueness element in operator *** results on the strong uniqueness of the best approximation operatorfrom RS-sets are proved and the uniqueness element of a sun in the compactoperator space from c0 to c0 is characterized by the strict Kolmogorov's *** recent results due to Lewicki and others are extended and improved.

关键词： best approximation operator, RS-set, sun, strong uniqueness, uniqueness element.

ON MATRIX UNITARILY INVARIANT NORM CONDITION NUMBER

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Journal of Computational mathematics 1998年第2期16卷 121-128页

作者： Dao-sheng Zheng (Department of mathematics, East china {2. university, Shanghai 2.0062. china) 华东师范大学数学系上海

In this paper, the unitarily invariant norm \\.\\ on C-mxn is used. We first discuss the problem under what case, a rectangular matrix A has minimum condition number K(A) = \\A\\ \\A(+)\\, where A(+) designates the Moore-Penrose inverse of A; and under what condition, a square matrix A has minimum condition number for its eigenproblem? Then we consider the second problem, i.e., optimum of K(A) = \\A\\ \\A(-1)\\(2. in error estimation.

关键词： matrix unitarily invariant norm condition number

Universal approximation of polygonal fuzzy neural networks in sense of K-integral norms

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Science china(Information Sciences) 2011年第11期54卷 2307-2323页

作者： WANG GuiJun 1 & li XiaoPing 2.1 School of mathematics Science,Tianjin {2. {2.,Tianjin 300387,china 2.School of Management,Tianjin {2. {2.,Tianjin 300387,china School of mathematics Science Tianjin Normal University Tianjin China School of Management Tianjin Normal University Tianjin China

In this paper,we introduce polygonal fuzzy numbers to overcome the operational complexity of ordinary fuzzy numbers,and obtain two important inequalities by taking advantage of their fine *** presenting an actual example,we demonstrate that the approximation capability of polygonal fuzzy numbers is ***,the concepts of K-quasi-additive integrals and K-integral norms are *** the polygonal fuzzy numbers space satisfies separability,the density problems for several functions spaces can be studied,by means of fuzzy-valued simple functions and fuzzy-valued Bernstein *** establish that the class of the integrally-bounded fuzzy-valued functions spans a complete and separable metric space in the K-integral ***,in the sense of K-integral norms,the universal approximation of fourlayer regular polygonal fuzzy neural networks for fuzzy-valued simple functions is ***,we show that this type of networks also possesses universal approximation for the class of integrally-bounded fuzzyvalued *** result indicates that the approximation capability which regular polygonal fuzzy neural networks for continuous fuzzy systems can be extended as for general integrable systems.

关键词： polygonal fuzzy numbers K-quasi-additive integrals K-integral norms polygonal fuzzy neural networks universal approximations