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:刘爱超; 崔志会; 刘浩 刊期:2005年第04期
Let f(x) be an almost spirallike mapping of type β with order α on unit ball Bof complex Banach space X. In this paper, we consider the growth and covering theoremsfor f(x), we also prove that the estimation is precise when β = 0 and still give growth upperbound and distortion upper bound for subordinate mapping. Thi...
作者:XU; Qing-xiang; ZHANG; Xiao-bo 刊期:2005年第04期
We study diagonal invariant ideals of topologically graded C*-algebras over discrete groups. Since all Toeplitz algebras defined on discrete groups are topologically graded, the results in this paper have improved the first author's previous works on this topic.
作者:刘克英; 徐少贤; 刘安平 刊期:2005年第04期
This paper deals with the oscillatory properties of a class of nonlinear neutralparabolic partial differential equations with several delays. Sufficient criteria for the equa-tion to be oscillatory are obtained by making use of some results of first-order functionaldifferential inequalities. These results fully revea...
作者:李尧龙; 李生刚 刊期:2005年第04期
The concept of relative N-compactness is defined and characterized in terms ofnets. It is shown that the relative N-compactness is hereditary with respect to L-fuzzy setsand the relative N-compactness is L-good extension. Some connections between the N-compactness and the relative N-compactness are investigated. It i...
作者:张光辉; 孙应德 刊期:2005年第04期
In this paper, we introduce a practical method for obtaining the structure of thegroup of units for the ring of linear transformations of a vector space over an arbitrary field,and we give a further generalization of the result in [3].
作者:张瑞凤; 李瑞阁 刊期:2005年第04期
Applying the integral a priori estimates method, the existence and uniqueness ofthe global solution for the dissipative Hasegawa-Mima equation with initial periodic bound-ary condition was proved.
作者:YANG; Hui; YAO; Hong 刊期:2005年第04期
This paper presents the popularization of the weighting of Chebyshev's inequality and discusses the relation between this popularization and some famous inequalities.
作者:LI; Xing-xiao; HUANG; Guang-yue 刊期:2005年第04期
For submanifolds in a cosymplectic space form tangent to the structure vector field ξ, two important inequalities with Ricci curvature, scalar curvature and the squared mean curvature are obtained. These results are also applied to get corresponding consequences for anti-invariant submanifolds.
作者:NI; Xiao-hong; GE; Wei-gao 刊期:2005年第04期
In this paper, the authors study the existence of positive solution of the followingBVP{1/p(t)(p(t)x′)′+ f(t,x(t),p(t)x′(t)) = 0,0<t<+∞αx(0) - β limt→0(t)x′(t) = 0, γ limt→∞ x(t) + δt→+∞lim p(t)x′(t) = 0on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some n...
作者:ZHANG; Han-lin 刊期:2005年第04期
A class of singularly perturbed problems for the nonlinear elliptic equations is considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems are studied, which reduced equations possess two intersecting solutions.
作者:叶耀军; 刘秋香 刊期:2005年第04期
In this paper we study the decay estimate of global solutions to the initial-boundary value problem for double degenerate nonlinear parabolic equation by using a dif-ference inequality.
作者:CHEN; Wei-hong; LI; Na 刊期:2005年第04期
The Boolean functions in an affine equivalence class are of the same algebraicdegree and nonlinearity, but may satisfy different order of correlation immunity and propa-gation criterion. A method is presented in this paper to find Boolean functions with higherorder correlation immunity or satisfying higher order prop...
作者:LIU; Wei-ling; LI; Guo-fu 刊期:2005年第04期
In this paper, the estimate on blow-up rate of the following nonlinear parabolic system is considered:{ut=uxx+ul11vl12,vt=uxx+ul21vl22,(x,t)∈(0,1)(×)(0,T),ux(0,t)=0,vx(0,t)=0,t∈(0,T),ux(1,t)=(up11vp12)(1,t),vx(1,t)=(up21vp22)(1,t),t∈(0,T),u(x,0)=u0(x)1v(x,0)=v0(x),x∈(0,1).We will prove that there exist two positi...
作者:GAO; Ming-zhe; JIA; Wei-jian 刊期:2005年第04期
A new improvement of Hilbert's inequality for double series can be establishedby means of a strengthened Cauchy's inequality. As application, a quite sharp result onFejer-Riesz's inequality is obtained.
作者:申春雪; 张洪奎 刊期:2005年第04期
By employing a generalized Riccati technique and an integral averaging tech-nique, new interval oscillation criteria are established for the forced second-order half-lineardifferential equation [r(t)|x′ (t)|α-1x′ (t)]′ + q(t)|x(t)|α-1x(t) = e(t).