中国科学院数学与系统科学研究院期刊网

Acta Mathematica Sinica, Chinese Series 2007 Vol.50

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A Basis of the Section Space o
Shi Kun WANG; Hui Ping ZHANG
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 1-10.   DOI: 10.12386/A2007sxxb0001
Abstract7178)      PDF(pc) (500KB)(2496)       Save
In this paper, we prove that a
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On $p$-Automorphisms of a Nilp
He Guo LIU(1); Ji Ping ZHANG(2
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 11-16.   DOI: 10.12386/A2007sxxb0002
Abstract2763)      PDF(pc) (425KB)(960)       Save
Let $G$ be a nilpotent \,$p$-g
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$L^{2,\lambda}$-Regularity for
Shu Le ZHAO(1); Shen Zhou ZHEN
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 17-24.   DOI: 10.12386/A2007sxxb0003
Abstract2420)      PDF(pc) (406KB)(968)       Save
In this paper, we shall show t
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Whitney Sets and Graph--Direct
Qiu Li GUO(1); Li Feng XI(2)
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 25-32.   DOI: 10.12386/A2007sxxb0004
Abstract2724)      PDF(pc) (490KB)(1111)       Save
By constructing sub-IFS (itera
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Moderate Deviation for Lipschi
Yu Tao MA; Qiong Xia SONG
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 33-42.   DOI: 10.12386/A2007sxxb0005
Abstract2478)      PDF(pc) (517KB)(877)       Save
In this paper, we consider the
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Strong Convergence Criteria fo
Nai Lin DU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 43-54.   DOI: 10.12386/A2007sxxb0006
Abstract2485)      PDF(pc) (526KB)(997)       Save
Let \{$P_{n}$\} be a sequence
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Approxiamtion of Periodic Func
Bao Huai SHENG
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 55-62.   DOI: 10.12386/A2007sxxb0007
Abstract2357)      PDF(pc) (441KB)(901)       Save
In this paper, we investigate
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Bifurcation Analysis for Chen'
Jun Biao GUAN(1); Fang Yue CHE
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 63-74.   DOI: 10.12386/A2007sxxb0008
Abstract5330)      PDF(pc) (505KB)(1068)       Save
Chen's system with distributed
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On Global Solutions for the Th
Sheng Mao FU(1); Zi Juan WEN(1
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 75-88.   DOI: 10.12386/A2007sxxb0009
Abstract6321)      PDF(pc) (602KB)(1004)       Save
Using the energy estimate and
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Actions of Weak Hopf Algebras
Zhi Xi WANG; Bo HOU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 89-96.   DOI: 10.12386/A2007sxxb0010
Abstract2630)      PDF(pc) (431KB)(1144)       Save
In this paper we study the con
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The Existence of Positive Solu
Zhen Bin LIU; Li Shan LIU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 97-104.   DOI: 10.12386/A2007sxxb0011
Abstract7249)      PDF(pc) (397KB)(1020)       Save
In this paper,we prove the exi
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Frobenius Property and Maschke
Ling Jia; Fang LI
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 105-116.   DOI: 10.12386/A2007sxxb0012
Abstract14905)      PDF(pc) (471KB)(894)       Save
In this paper, we mainly intro
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On Generalized Moore--Penrose
Jian Miao CEN
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 117-126.   DOI: 10.12386/A2007sxxb0013
Abstract2434)      PDF(pc) (379KB)(841)       Save
The generalized Moore--Penrose
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Extreme Points of Subspaces in
Zhe DONG
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 127-130.   DOI: 10.12386/A2007sxxb0014
Abstract4843)      PDF(pc) (333KB)(899)       Save
Suppose that $\a$ is a subspac
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On the Regularity of Solutions
Xiong ZOU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 131-138.   DOI: 10.12386/A2007sxxb0015
Abstract4645)      PDF(pc) (438KB)(907)       Save
We show that any $C^{1+1,\, \f
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Iterative Algorithms to Fixed
Yong Hong YAO(1); Ru Dong CHEN
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 139-144.   DOI: 10.12386/A2007sxxb0016
Abstract1862)      PDF(pc) (398KB)(894)       Save
Let $C$ be a nonempty closed c
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A Note on the Upper Bound of t
Sheng Biao HU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 145-148.   DOI: 10.12386/A2007sxxb0017
Abstract2367)      PDF(pc) (270KB)(893)       Save
Let ${T}$ be a tree with verte
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Irreducible Representations of
Zhi Xiang WU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 149-160.   DOI: 10.12386/A2007sxxb0018
Abstract2491)      PDF(pc) (509KB)(824)       Save
In this paper, we study repres
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A Generalized Form of P$\grave
Qing Yan DU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 161-174.   DOI: 10.12386/A2007sxxb0019
Abstract1646)      PDF(pc) (484KB)(790)       Save
The $P$-permutation graphs, or
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Waring--Goldbach Problem for U
Xiu Min REN(1); Kai Man TSANG(
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 175-182.   DOI: 10.12386/A2007sxxb0020
Abstract2604)      PDF(pc) (332KB)(824)       Save
In this paper, we are concerne
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Exceptional Family Elements fo
Jiang Hua FAN; Kang Sheng ZHAO
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 183-188.   DOI: 10.12386/A2007sxxb0021
Abstract8266)      PDF(pc) (386KB)(927)       Save
A Leray-Schauder type fixed po
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The Generalized Roper--Suffrid
Yu Can ZHU(1); Ming Sheng LIU(
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 189-196.   DOI: 10.12386/A2007sxxb0022
Abstract2197)      PDF(pc) (426KB)(825)       Save
In this paper, we extend the R
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On the Vertex-Distinguishing-E
Zhong Fu ZHANG; Jing Wen LI; C
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 197-204.   DOI: 10.12386/A2007sxxb0023
Abstract2525)      PDF(pc) (393KB)(919)       Save
A $k$-proper edge coloring of
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Spatially Homogeneous Solution
Xian Wen ZHANG; Hui ZHU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 205-214.   DOI: 10.12386/A2007sxxb0024
Abstract5095)      PDF(pc) (502KB)(943)       Save
This paper is devoted to study
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Factorization of Analytic Func
Guan Tie DENG
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 215-220.   DOI: 10.12386/A2007sxxb0025
Abstract2409)      PDF(pc) (379KB)(748)       Save
Analogous to the classic Hadam
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The Local Spectrum of Weighted
Shan Li SUN; Zhong Qiu LIU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 221-226.   DOI: 10.12386/A2007sxxb0026
Abstract2679)      PDF(pc) (414KB)(824)       Save
We study the local spectrum of
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Isometries Between the Unit Sp
Rui LIU
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 227-232.   DOI: 10.12386/A2007sxxb0027
Abstract2564)      PDF(pc) (415KB)(901)       Save
This paper discusses the exten
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Distributions of Near-$4$-Regu
Han REN(1); Yan Pei LIU(2)
Acta Mathematica Sinica, Chinese Series    2007, 50 (1): 233-240.   DOI: 10.12386/A2007sxxb0028
Abstract2274)      PDF(pc) (492KB)(937)       Save
Let ${\cal U}_n$ and ${\overli
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The Initial-Boundary Value Problem for the Modified Kawahara Equation on the Half Line
Shuan Ping(1); TAO Shan Zhen L
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 241-254.   DOI: 10.12386/A2007sxxb0029
Abstract4171)      PDF(pc) (526KB)(1171)       Save
In this paper we study the local solvability of the initial-boundary problem for the modified Kawahara equation on the half line.By setting up some Strichartz-type estimates of the Duhamel forcing terms for a corresponding forced initial value problem, we prove that the initial-boundary problem of the modified Kawahaxa equation on the half line is locally solvable if the initial function belongs to H~8 (R_x~+) and the boundary function belongs to g~(x+2/5)(R_t~+) with 1/4■s<2.
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The Goldbach Problems with Prime Numbers of Special Type
Xian Meng MENG
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 255-260.   DOI: 10.12386/A2007sxxb0030
Abstract2715)      PDF(pc) (377KB)(1114)       Save
Let P_k denote any integer with no more than k prime factors,counted according to multiplicity.It is proved that for almost all sufficiently large even integers n■2 (mod 6),the equation n=P_1+P_2 has a solution in prime variables P_1,P_2 such that P_2+2=P_3.For every sufficiently large odd integer N■1 (mod 6),the equation N=p_1+p_2+p_3 has a solution in prime variables P_1,P_2,P_3 such that p_2+2=P_3,P_3+2=P_2.
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A Generalization of the Bernfeld-Haddock Conjecture and Its Proof
Tai Shan YI Li; Hong HUANG
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 261-270.   DOI: 10.12386/A2007sxxb0031
Abstract4748)      PDF(pc) (522KB)(1518)       Save
In this paper,we study the convergence of solutions of a class of delay differ- ential equations.These equations have important practical applications and generalize those on which Bernfeld and Haddock conjectured that each solution of the equations tends.to a constant.We first give an example to point out the errors in several existing works on the convergence of solutions of the equations as well as their generalizations. Then we confirm the Bernfeld-Haddock conjecture under weaker conditions.Our re- sult corrects and improves the existing ones.An appendix by Professor Tongren Ding is also given to correct the mistakes in one of his works.
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The Symmetry of n-Marked Riemannian Sphere
Hao CHEN
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 271-276.   DOI: 10.12386/A2007sxxb0032
Abstract3610)      PDF(pc) (413KB)(1306)       Save
In this paper,we discuss the natural action of symmetric group on the moduli space of n-marked Riemannian spheres.We calculated out all the fixed points of this action and all the symmetric types of n-marked Riemannian sphere.We also discussed the dynamic property of the action of SL(2,C) on Riemannian sphere,so as to give a description of the periodic property of this action.Basing on this,we give a description of the singularity of the moduli space of n-punctured Riemannian sphere.
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Richness of the Lattice of Invariant Subspaces for Subdecomposable Operators
Ming Xue LIU(1); Pei De LIU(2)
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 277-280.   DOI: 10.12386/A2007sxxb0033
Abstract3722)      PDF(pc) (365KB)(968)       Save
In this paper,we show that the lattice of invariant subspaces for a class of subdecomposable operators is rich.Moreover,we provide a counter-examples on a Hilbert space in which the operator T has infinitely many invariant subspaces while the invariant subspace lattice Lat(T) for T is not rich.
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A Feasible Equality Constrained SQP Algorithm for Nonlinear Optimization
Zhi Bin ZHU(1); Ke Cun ZHANG(2
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 281-290.   DOI: 10.12386/A2007sxxb0034
Abstract2988)      PDF(pc) (557KB)(1005)       Save
In this paper,a feasible sequential equality constrained quadratic program- ming algorithm is proposed to solve the nonlinear inequality constrained optimization. Per single iteration,it is only neccessary to sovle three equality constrained quadratic programmings with the same scale(or in addition,a linear programming),so the com- putational effort is reduced.The theoretical analysis shows that the algorithm is global and superlinear convergence under some suitable conditions.Numerical results show that the method in this paper is effective.
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A System of Generalized Mixed Vector Quasi-Equilibrium Problems in Product FC-Spaces
Min Fang; Nan Jing HUANG
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 291-298.   DOI: 10.12386/A2007sxxb0035
Abstract2542)      PDF(pc) (482KB)(901)       Save
In this paper,we introduce and study a new system of generalized mixed vector quasi-equilibrium problems in product FC-spaces.By using the maximal element theorem,some existence results of solutions for the system of generalized mixed vector quasi-equilibrium problems in product FC-spaces are given.The results presented in this paper improve and extend some known results in the literature.
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The Local Regularity of Solutions in Morrey Space to the Elliptic Equation in Divergence Form with Lower Order Terms
Yue Shan WANG; Yue Xiang HE
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 299-310.   DOI: 10.12386/A2007sxxb0036
Abstract2990)      PDF(pc) (501KB)(1088)       Save
The aim of this note is to study the local regularity of solutions in Morrey spaces to the elliptic equation in divergence form-(a_(ij)u_(x_i))_(x_j)+b_iu_(x_i)-(d_ju)_(x_j)+cu= (f_j)_(x_j),a.e.x∈Ω.Where a_(ij)∈VMO∩L~∞(Ω),and the lower order terms belong to suitable Morrey spaces.
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Separation Axiom in I-Fuzzy Topology
Rui Ying WANG(1); Zhi Fang JI(
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 311-318.   DOI: 10.12386/A2007sxxb0037
Abstract3069)      PDF(pc) (417KB)(1076)       Save
In this paper,we introduce T_0-,T_1-,T_2-,T_3-,T_4-separation axioms in the framework of I-fuzzy topology,and give some of their equivalents as well as the relations with one another of these axioms.
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Lipschitz Properties of Riesz Functional Calculus
Huai Xin CAO; Zheng Li CHEN
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 319-324.   DOI: 10.12386/A2007sxxb0038
Abstract2378)      PDF(pc) (399KB)(943)       Save
Let A be a unital complex Banach algebra,Ωbe a region andγbe a rectifiable closed curve such that ins(γ)Ω.It is proved that the Riesz functional calculus f:x)f(x) is a Lipschitz operator from some A_δ~γinto A,i.e.,f∈L~1(A_δ~γ,A) and has the Lipschitz constant L_1 (f)■(M_f(γ)Γ)/(2πδ~2)As an application,Lipschitz propertites of the operator valued root-function TT 1/m and the absolute value function T|T| are disccussed.Lastly,it is proved that f∈L~1 (E,A) holds for every nonempty bounded subset E of A.
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On the Product Space R~k×H~(n-k) in Lorentz-Minkowski Space
Yuan Zheng ZHANG
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 325-332.   DOI: 10.12386/A2007sxxb0039
Abstract3028)      PDF(pc) (434KB)(1040)       Save
In this paper,we show that the only complete spacelike hypersurfaces with constant mean curvature in Lorentz-Minkowski space which are bounded be- tween two concentric hyperbolic cylinders are the hyperbolic cylinders,i.e.,the product R~k×H~(n-k).In the case of constant higher mean curvature,if the sectional curvature is bounded from below,then the only complete spacelike hypersurfaces in Lorentz- Minkowski space which are bounded between two concentric hyperbolic spaces are the hyperbolic spaces.
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An Equation Involving the Smarandache Primitive Function
Jie LI
Acta Mathematica Sinica, Chinese Series    2007, 50 (2): 333-336.   DOI: 10.12386/A2007sxxb0040
Abstract3276)      PDF(pc) (317KB)(985)       Save
Let p be a prime,n be any positive integer.We define the Smarandache primitive function S_p(n) as the smallest positive integer such that S_p(n)! is divisible by p~n.In this paper,we use the elementary methods to study the solvability of the equation S_p(1)+S_p(2)+…+S_p(n)=S_p((n(n+1)/2)),and give all its solutions.
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