第四类Cartan-Hartogs域上Bergman度量与Einstein-Kahler度量等价

赵晓霞, 林萍

2008, 23(3): 317-324.

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In this paper, we discuss the invariant complete metric on the Cartan-Hartogs domain of the fourth type. Firstly,we find a new invariant complete metric, and prove the equivalence between Bergman metric and the new metric; Secondly, the Ricci curvature of the new metric has the super bound and lower bound; Thirdly,we prove that the holomorphic sectional curvature of the new metric has the negative supper bound; Finally, we obtain the equivalence between Bergman metric and Einstein-Kahler metric on the Cartan-Hartogs domain of the fourth type.

关于一个新数论函数的混合均值

任刚练

2008, 23(3): 325-329.

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Let p and q be two distinct primes, e_pq(n) denotes the largest exponent of power pq which divides n. In this paper, we study the mean value properties of function e_pq(n), and give some hybrid mean value formulas for e_pq(n) and Dirichlet divisor function d(n).

一类奇摄动非线性激波问题

欧阳成

2008, 23(3): 330-336.

摘要 ( 18 )

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Using the method of matched asymptotic expansions, the shock solutions for a class of singularly perturbed nonlinear problems are discussed. The relation of the shock solutions and their boundary conditions is obtained. And the known results are generalized.

一些特殊变换群的联合不变量和联合微分不变量

白永强, 刘震, 裴明

2008, 23(3): 337-343.

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The theory of moving frames developed by Peter J Olver and M Fels has impor-tant applications to geometry, classical invariant theory. We will use this theory to classify joint invariants and joint differential invariants of some transformation groups.

抽象线性不等式系统误差界的一个存在条件

翟志春

2008, 23(3): 344-348.

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We consider the abstract linear inequality system (A,C,b) and give a sufficient condition for the system (A,C,b) to have an error bound, which extends the previous result.

一般化凸乘积空间上Fan-Browder型不动点定理及应用

朴勇杰

2008, 23(3): 349-355.

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Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maxi-mal element and equilibrium point are discussed as applications of above results.

加权复合算子在Bloch型空间上的有界性

郭继东, 刘品, 高文华等

2008, 23(3): 356-359.

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In this paper, we give a necessary and sufficient condition for weighted compo-sition operators C_u,φ to be boundedness on Bloch type spaces B^α. The theorem generalizes some previous results.

向量值正交小波的构造与向量值小波包的特征

陈清江, 刘洪运

2008, 23(3): 360-367.

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The notion of vector-valued multiresolution analysis is introduced and the con-cept of orthogonal vector-valued wavelets with 3-scale is proposed. A necessary and suffcient condition on the existence of orthogonal vector-valued wavelets is given by means of parauni-tary vector filter bank theory. An algorithm for constructing a class of compactly supported orthogonal vector-valued wavelets is presented. Their characteristics is discussed by virtue of operator theory, time-frequency method. Moreover, it is shown how to design various orthonormal bases of space L²(R,Cⁿ) from these wavelet packets.

弧线型结点组在R^s(s>2)中的一类推广

朱平

2008, 23(3): 368-375.

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A kind of generalization of the Curve Type Node Configuration is given in this paper, and it is called the generalized node configuration CTNCB in R^s(s > 2). The related multivariate polynomial interpolation problem is discussed. It is proved that the CTNCB is an appropriate node configuration for the polynomial space P^ns(s > 2). And the expressions of the multivariate Vandermonde determinants that are related to the Odd Curve Type Node Configuration in R2 are also obtained.

E^G(i)类图簇的伴随多项式

张秉儒, 杨继明

2008, 23(3): 376-383.

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Let S_n be the star with n vertices, and let G be any connected graph with p vertices. We denote by E_rp+(r-1) the graph obtained from S_r and rG by coinciding the i-th vertex of G with the vertex of degree r-1 of S_r, while the i-th vertex of each component of (r-1)G be adjacented to r-1 vertices of degree 1 of S_r, respectively. By applying the properties of adjoint polynomials. We prove that factorization theorem of adjoint polynomials of kinds of graphs Erp+(r-1) (r-1)K1 (1 ≤ i ≤ p). Furthermore, we obtain structure characteristics of chromatically equivalent graphs of their complements.

Szász-Mirakjan算子加权逼近的强逆不等式

刘国军, 薛银川, 孙渭滨

2008, 23(3): 384-389.

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In this paper, we give the strong converse inequalities of type B with the new K-functional K^λα(f,t²)_w(0 ≤λ≤ 1, 0 < α < 2) on weighted approximation for Szász-Mirakjan operators, which extend the previous results.

基于集值映射的形式概念分析

陈利娅, 黄涛, 宋振明等

2008, 23(3): 390-396.

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Formal concept analysis (FCA) is a discipline that studied the hierarchical struc-tures induced by a binary relation between a pair of sets, and applies in data analysis, infor-mation retrieval, knowledge discovery, etc. In this paper, it is shown that a formal context T is equivalent to a set-valued mapping S : G → P(M), and formal concepts could be defined in the set-valued mapping S. It is known that the topology and set-valued mapping are linked. Hence, the advantage of this paper is that the conclusion make us to construct formal concept lattice based on the topology.

广义严格对象占优矩阵的充分条件

田素霞

2008, 23(3): 397-402.

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In this paper, we provide some new criteria conditions for generalized strictly diagonally dominant matrices, such that the corresponding results in [1] are generalized and improved.

提高反应—扩散方程有限差分格式的稳定性问题

徐琛梅

2008, 23(3): 403-408.

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This paper deals with the special nonlinear reaction-diffusion equation. The finite difference scheme with incremental unknowns approximating to the differential equa-tion (2.1) is set up by means of introducing incremental unknowns methods. Through the stability analyzing for the scheme, it was shown that the stability conditions of the finite dif-ference schemes with the incremental unknowns are greatly improved when compared with the stability conditions of the corresponding classic difference scheme.

Cartan型李超代数H的导子代数

陈玉珍, 王颖, 马宝林

2008, 23(3): 409-414.

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In this paper, the derivation algebra of Lie superalgebra H of Cartan-type over F are determined by the calculating method in the situations of CharF = p ≥ 3 or m ≥ 2 or n ≥ 1. The main result is following: Der_FH = ad_H(H + Fh) ⊕ {(adD_i)^pt | i = 1,2,··· ,m, t = 1,2,··· ,t_i-1} .

多分量的KN族与可积耦合及其它们的哈密顿结构

江晓武, 李柱

2008, 23(3): 415-422.

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Firstly, a vector loop algebra G3 is constructed, by use of it multi-component KN hierarchy is obtained. Further, by taking advantage of the extending vector loop algebras G6 and G9 of G3 the double integrable couplings of the multi-component KN hierarchy are worked out respectively. Finally, Hamiltonian structures of obtained system are given by quadratic-form identity.

有限单纯格蕴涵代数

朱怡权

2008, 23(3): 423-429.

摘要 ( 18 )

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In this paper, some necessary and suffcient conditions that a finite lattice impli-cation algebra is simple are established. Specially, it is proved that a finite lattice implication algebra L is simple if and only if (L,≤) is a chain, if and only if there exists the unique dual atom in L. Also, it is given that a finite lattice implication algebra with order of a prime number is simple.

分层有限偏序集的直积

刘炜, 陈树伟, 姜保庆

2008, 23(3): 430-436.

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A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite poset is connected. The graded function of a graded finite poset is unique if and only if the graded finite poset is connected.

一个包含Smarandache幂函数SP(n)的方程及其整数解

潘晓玮

2008, 23(3): 437-441.

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For any positive integer n, the famous Smarandache power function SP(n) is defined as the smallest positive integer m such that n|mm, where m and n have the same prime divisors. The main purpose of this paper is using the elementary methods to study the positive integer solutions of an equation involving the Smarandache power function SP(n) and obtain some interesting results. At the same time, we give an open problem about the related equation.

可换序半群的分式扩张

罗从文

2008, 23(3): 442-445.

摘要 ( 13 )

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In this paper we extend the construction of the field of rational numbers from the ring of integers to an arbitrary commutative ordered semigroup. We first construct a frac-tional ordered semigroup and a homomorphism φs : R → S^-1R. Secondly, we characterize the commutative ordered semigroup so constructed by a universal mapping property.

高维热传导方程的高精度分支显格式

马明书, 马菊意, 谷淑敏等

2008, 23(3): 446-452.

摘要 ( 12 )

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A high-order accuracy explicit difference scheme for solving 4-dimensional heat-conduction equation is constructed. The stability condition is r = △t/△x² =△t/△y² = △t/△z△ = △t/△w² < 3/8, and the truncation error is O(△t² +△x⁴).

与薛丁谔型谱问题相联系的孤子族的分解

邢秀芝, 吴景珠, 耿献国

2008, 23(3): 453-457.

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The soliton hierarchy associated with a Schrodinger type spectral problem with four potentials is decomposed into a class of new finite-dimensional Hamiltonian systems by using the nonlinearized approach. It is worth to point that the solutions for the soliton hierarchy are reduced to solving the compatible Hamiltonian systems of ordinary differential equations.

改进的Cotes公式及其误差分析

杜跃鹏, 肖泽昌

2008, 23(3): 458-461.

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The truncation error of improved Cotes formula is presented in this paper. It also displays an analysis on convergence order of improved Cotes formula. Examples of numerical calculation is given in the end.

主路多车道无信号交叉口混合交通流的通行能力

田新现

2008, 23(3): 462-469.

摘要 ( 22 )

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Highway capacity is defined as maximum volume of traffic flow through the par-ticular highway section under given traffic conditions, road conditions and so on. Highway construction and management is judged by capacity standard. The reasonable scale and time of highway construction, rational network structure and optimal management mode of highway network can be determined by analyzing the fitness between capacity and traffic vol-ume. All over the world, highway capacity is studied to different extent in different country. Based on the gap acceptance theory, the mixed traffic flow composed of two representative vehicle types heavy and light vehicles is analyzed with probability theory. Capacity model of the minor mixed traffic flows crossing m major lanes, on which the traffic flows fix in with M3 distributed headway, on the unsignalized intersection is set up, and it is an extension of minor lane capacity theory for one vehicle-type and one major-lane traffic flow.

Banach空间中一类(k,n-k)共轭边值问题的存在性

杨辉, 王锋

2008, 23(3): 470-474.

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In this paper, by use of the Schauder fixed-point theorem, the existence of solution of (k,n-k) Conjugate boundary value problems in Banach spaces is investigated.

当期目录

In this paper, we give a necessary and sufficient condition for weighted compo-sition operators Cu,φ to be boundedness on Bloch type spaces Bα. The theorem generalizes some previous results.

In this paper, we give a necessary and sufficient condition for weighted compo-sition operators C_u,φ to be boundedness on Bloch type spaces B^α. The theorem generalizes some previous results.