杂志简介:《数学季刊》杂志经新闻出版总署批准,自1986年创刊,国内刊号为41-1102/O1,是一本综合性较强的科学期刊。该刊是一份季刊,致力于发表科学领域的高质量原创研究成果、综述及快报。主要栏目:研究报告、文献综述、简报、专题研究。
作者:SaadABedaiwi; LIShang-zhi 刊期:2004年第03期
A typical example for the algebraic groups is the general linear groups G=GL(n,F), we have studied the structure of such groups and paid special attention to its important substructures, namely the Parabolic subgroups. For a given G we computed all the Parabolic subgroups and determined their number, depending on the...
作者:SHANGYou-lin; LIXiao-yan 刊期:2004年第03期
A filled function with adjustable parameters is suggested in this paper for finding a global minimum point of a general class of nonlinear programming problems with a bounded and closed domain. This function has two adjustable parameters. We will discuss the properties of the proposed filled function. Conditions on t...
作者:XIAZhi 刊期:2004年第03期
Based on the homogenous balance method and with the help of mathematica, the Backlund transformation and the transfer heat equation are derived. Analyzing the heat-transfer equation, the multiple soliton solutions and other exact analytical solution for Whitham-Broer-Kaup equations(WBK) are derived. These solutions c...
作者:LIANGBao-song; CHENZhen 刊期:2004年第03期
J. L Lions and W. A. Stranss [1] have proved the existence of a global solution of the initial boundary value problem for nonlinear generalized Euler-Possion-Darboux equation. In this paper we are going to investigate the asymptotic behavior of the global solution by a difference inequality.
作者:PENGYan-ling 刊期:2004年第03期
We introduce a new method for studying the chromaticity of K4-homeomorphs,by which some new results are obtained.
作者:ZHANGZhi-hong; LIWen-feng 刊期:2004年第03期
Using the cone and partial ordering theory and mixed monotone operator theory, the existence and uniqueness of solutions for some classes of systems of nonlinear two binary operator equations in a Banach space with a partial ordering are discussed. And the error estimates that the iterative sequences converge to solu...
作者:ZHANGRui-feng; YANGHui 刊期:2004年第03期
In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev's inequalities and the bounded extensive method of the nonlinear function. Finally, the numerical examples are proposed.
作者:ZHANGXi-yong; HANWen-bao 刊期:2004年第03期
In this paper, we give a construction of RDS in Galois ring by using some bent function, and obtain the equivalent relationship between RDS and a kind of bent function. At the same time, its existence is demonstrated.
作者:YECheng-fu 刊期:2004年第03期
We denote h(G,x) as the adjoint polynomial of graph G. In [5], Ma obtained the interpolation properties of the roots of adjoint polynomial of graphs containing triangles. By the properties, we prove the non-zero root of adjoint polynomial of Dn and Fn are single multiple.
作者:LIUShu-qiang; ZHANGHe-ruing 刊期:2004年第03期
In this paper,we study real symmetric Toeplitz matrices commutable with tridiagonal matrices, present more detailed results than those in [1], and extend them to nonsymmetric Toeplitz matrices. Also, complex Toeplitz matrices, especially the corresponding matrices of lower order, are discussed.
作者:LIDeng-feng; CHENGJun-fang 刊期:2004年第03期
Let E=(1 1 1 -1) or (0 1 2 0). A measurable function v is called an E-waveletmultiplier if (rψ)v is an E-wavelet whenever ψ is an E-wavelet. Some characterizations and applications of E-wavelet multiplier were considered in [1]. In this paper, we give some other applications of E-wavelet multiplier, and prove that th...
作者:LIANGJun-qi 刊期:2004年第03期
This paper is devoted to the study of the logical properties of BCK algebras. For formalized BCK algebra theory T, it is proved that T is preserved under submodels and unions of chains; T is neither complete nor model complete, and hence there exist no builtin Skolem function. Moreover, the ultraproduct BCK algebras ...
作者:XUShao-xian; WANGShun-qin; MAFei-fei 刊期:2004年第03期
In this paper, a Frame nucleus and prime elements in a Prequantale are defined. The concrete structure of a Frame prequantic quotient is considered, and the relation between the half-prime element and the Frame nucleus in a two-side Prequantale are obtained.
作者:WANGDing-jiang; ZHAOTing-fang 刊期:2004年第03期
This paper studies the dynamical behavior of a class of total area dependent nonlinear age-structured forest evolution model. We give the problem of equal value for the forest system, and discuss the stable solution of system. We obtained the necessary and sufficient conditions for there exists the stable solution.
作者:RENLi-shun; ZHANGCai-yu 刊期:2004年第03期
This paper discussed asymptotic property of Taylor remainder 'mean value point' in normed Linear space. The asymptotic progerty of 'mean value point' is solved when f^(n+i)(x0)h^(n+i)=0(i=1,2,……,p-1) and f^(n+p)(x0)h^(h+p) don't exist. Meanwhile, achicve more general asymptotic estimation formula. Make many former ...