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中文
Table of Content
30 September 1991, Volume 6 Issue 3
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离散大系统对部分变元的集合稳定性
景岩
1991, 6(3): 1-6.
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Several definitions of partial set-stability relative to a difference equations are considerd,and stability theorems are established.These theorems provide sufficient conditions for stability and are obtained by employing the idea of Liapunov function.
Next,we investigate partial set-stability for Large-scale discrete systems.Several stability theo~ rems are obtained.
B-Z化学反应Noyes-Field模型的波前解与最小波速
王明新
1991, 6(3): 7-13.
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Wave front solutions and the minimal wave speeds of Noges-Field systems for B-Z chemical re- action are discussed.The sufficient and necessary conditions for the existence of travelling wave front solutions are obtained under some conditions.The approximants obtained in[4]are proved in theory.
L-Fuzzy拓扑共生结构的扩张
刘旺金, 莫智文
1991, 6(3): 14-18.
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不动点集为∪RP
i
（2n） from i=1 to 2m具有对合T的光滑流形
候铎
1991, 6(3): 19-28.
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左强非奇异环与K the猜测
王宪昌
1991, 6(3): 29-32.
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在环理论的研究中,Kothe曾经提出过一个著名的猜测:环R上的任一诣零左理想是否都包含在一个诣零双侧理想之中。本文利用引入的左强非奇异环的性质,给出Kothe猜测成立的充要条件:环R上的Kothe猜测成立,当且仅当R是每个K-子集上的左强非奇异环。本文的最后结果证明,许永华在[1]中给出的Kothe猜测成立的充要条件是本文定理的一个推论。
一类多项式系统极限环的讨论
沈伯骞, 刘德明, 孙建华
1991, 6(3): 33-37.
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In this paper,we discuss the limit cycles of the system ... .
We throughly solve the problem of the number and location of limit cycles of system(1).
离散系统的渐近稳定性
张宗达
1991, 6(3): 38-41.
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In this paper,we discussed asymptotic stability of discret systems.
变换数据对线性模型拟合值的影响
刘金山, 段清堂
1991, 6(3): 42-46.
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In this article,we consider the standard linear regression model with aggregated dataT=A'Y.
We discuss the influence of aggregated data on fitted values at certain point,and get the upper orr lower bound of the inluence.In addition,we establish the relations between the fit statistic and corre- lation cocfficient.
论Hermite插值
沈燮昌
1991, 6(3): 47-58.
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限制参数空间中二项分布参数的极小极大估计
史国成, 陈兰祥
1991, 6(3): 59-63.
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In his paper we give the minimax estimator of the parameter p of Binomial distribution B(n, p).Where p lies in a known interval which is small enough.And the asympotic behaviour of the in- terval for n→∞is discussed.
正定矩阵的Minkowski不等式的推广
宋永忠
1991, 6(3): 64-66.
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Let A and B be positive definte matrices,then there is the Minkowski's Ineequality among the determinants of A,B and A+B,i.e. (det(A+B)) ≥(detA) +(detB)¹. In this paper we generalize the inequlity above to another class of matrices.Our results imply the Minkowski's Inequlity.
关于共形平坦流形中子流形的不等式
孙弘安
1991, 6(3): 67-72.
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本文目的在于建立共形平坦黎曼流形中子流形的数量曲率截面曲率间关系的几个不等 式，在流形是常曲率的情况下，这些不等式改进了B.Y.Chen 和M.Okumura¹ 的结果.
四元数矩阵代数的实表示及其应用
曹重光
1991, 6(3): 73-76.
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In this paper,we determind all the 4n-th-order real representations of quaternion n-th-order square matrix algebra on real number field,then,applied this result to determine whether the quternion matrix is or not irregular,meanwhile,obtained a new proof of quaternion matrix Hadar- mand inequality.
关于Neuberg-Pedoe不等式高维推广的一个注记
熊倩
1991, 6(3): 77-80.
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In this paper,we use the method of distance geometry go discuss the general expression of Neuberg—Pedoe inequality in E" and obtain the following result ... in which,equality holds if and only if ∑A, is similar to ∑A,,where i,j=1,…,n.
边赋权图支撑树权的介值性
周三明
1991, 6(3): 81-82.
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For any Simple connected graph with integer edgeweights,two sufficient conditions for its
Spanning trees have interpolation property be given.
Kaup-Newell族的Lax系统的非线性化
曹策问, 耿献国
1991, 6(3): 83-89.
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Under an algebraic constraint between the potentials and the eigenfunctions,the Lax system of Kaup-Newell hierachy are nonlinearized to be a Hamiltonian system and some evolution equations, while the solution variety of the former is an invariant set of the flow determined by the latter.
Znám-Newman结果的改进
孙智伟
1991, 6(3): 90-96.
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Banach空间微分方程的广义整体解
崔长军
1991, 6(3): 97-102.
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Let E be a real Banach space,J=(0,∞),and let f:J×E→be a Caratheodory function.We shall consider the initial value problem: ... and generalize B.Rzetecki's existence theorem of bounded solutions in[4].And also our main result in§1 is extension of corresponding theorem in [5].
第二届全国数学编辑学术交流会在浙江建德召开
1991, 6(3): 102-102.
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关于(o,M)型缺三角插值多项式的同等收敛性
张淑荣, 高福洪
1991, 6(3): 103-104.
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函数芽的有限V决定性和I决定性
曹义
1991, 6(3): 105-105.
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关于Dirichlet L-函数的均值
张文鹏
1991, 6(3): 106-108.
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关于某些三阶方程周期解的存在性、唯一性与稳定性
黄先开, 向子贵
1991, 6(3): 109-110.
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