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中文
Table of Content
30 September 1989, Volume 4 Issue 3
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集合论公理系统的层谱
张锦文
1989, 4(3): 1-7.
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在文献[1,2]中,我们研究了范畴论基础,建立了集合的公理系统ACG,它能够处理超出了集合与类的极其大的汇合。本文进一步推广了系统ACG,建立了集合论公理系统的三个无穷序列:H
0
,H
1
,…;J
0
,J
1
,…,G
0
,G
1
,…。在建立这些公理系统的过程中,我们使用了类型论的方法,它们描述的能力是逐步增长的，
它们的强度也是逐一 增长的。而且这种增长速度是很快的.例如，H₁ 是策梅洛系统Z 的一个真子系统，而 G₁ 是与GB 系统等价的， H₂ 比 G₁ 又是更强的了.本文还建立了有穷型的序数与基数 的概念，论述了它们的性质.最后，通过定理1、2揭示这些系统间的强度关系.
一类超前型拟线性泛函微分方程的有界解
林宜中
1989, 4(3): 8-14.
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In this paper,we consider the existence of bounded solution of functional differential equation of advanced type with nonlinear perturbation term form of ... (*)
under the initial condition
x(s)=ξ∈R".
It is shown that if there exists the bounded solution of linear equation form of ... (**)
and certain condition bearing on the mapping H(t,x,)are satisfied,then
there exists the bounded solution of equation (*) satistys initial condition (**).
一类奇异拟微分方程非标准Cauchy问题
戴正德
1989, 4(3): 15-18.
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In this paper we studied a class of singular pseudo-differential equa- tion and proved the existence and uniqueness of solution for the non-stan- dard Cauchy problem.
关于φ-映射及其不动点定理
樊恩祥
1989, 4(3): 19-22.
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引言与定义在本文中,我们在拓扑空间中引入φ-映射概念,并给出其不动点定理,目的是:把在Rhoades分类下的第(3)、(6)、(10)、(13)、(17)、(22)、(25)类压缩型映射的不动点定理推广到拓扑空间中去,使得到的定理应用范围更广,用起来更加方便灵活。
波动方程解的渐近性态的一个注记
秦铁虎
1989, 4(3): 23-26.
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关于有向图与超图的计数
柳柏濂
1989, 4(3): 27-33.
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1980年,M.Hegde和M.R.Sridharan沿用R.C.Read的计数方法,得到了标号偶有向图和偶超图的计数公式。我们推广了[1]的结果,得到了恰有2k个奇度点的p阶有向图和(p,q)有向图,恰有k个奇度点的p阶超图和(p,q)超图的计数式。本文所讨论的图均指标号图。
离散大系统对部分变元的集合稳定性
景岩
1989, 4(3): 34-39.
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Several definitions of partial set-stability relative to a difference equations are considered,and stability theorems are established.Sufficient conditions for stability are obtained by employing the idea of Liapunov function.
Next,we investigate partial set-stability for Large-scale discrete systems.Several Stability theorems are obtained.
一个单叶函数族的星形半径
蒋润荣
1989, 4(3): 40-45.
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关于Macintyre猜测
李宝勤
1989, 4(3): 46-53.
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Under a gap condition,the writer proves macintyre's conjecture on gap power series and obtains further results.
Gronwall型积分不等式的推广
谢鸿政
1989, 4(3): 54-61.
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In this paper,we establish some generalizations on integral inequali- ti:{ Gronwall type and show their roles with two examples.
一般随机集的中心统计定理
李西和
1989, 4(3): 62-64.
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Because of generality of the S-9(U) random sets in this paper,our
central statistical theorem is more general than that the central statistical theorem in probability theory.
等度和不等度的结构及在P-T度下集合的分离性质
刘壮虎
1989, 4(3): 65-71.
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In the paper,we studied the structure of the equal degrees and unequal degrees and gave some results,for example,the distribution of the equal degrees and unequal degrees,the dense and splitting theorem and the embedment theorem of the unequal degrees.We also studied the splitting property of sets in P-T degrees and gave the elemental results of univesal splitting sets and antisplitting sets.
四维Brouwer 不动点定理的改进
王性玉
1989, 4(3): 72-73.
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In this paper,We got the following resust:G:E⁴→E* is a Continuous map,n∈N,then there exists a point x∈E⁴, suth that G(x)=x”,here
the multiplication in E⁴i s decired from the division ring H of quaternions.
环的弱遗传类和本质扩张
胡长流, 田震
1989, 4(3): 74-80.
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A Class M of rings is said to be weakly hereditary if 0÷I<R∈M implies 0≠I"∈M for some positive integer n,which generalizes the concept of heredity but other than that of regularity.In §2 the properties of such class and its essential cover are studied.In §3 the upper radicals determined by them are investigated,At the same time the “Problem 42, 44 and 55” of Szasz [7] are discussed.In §4 two examples are given, which show that the concept of weak heredity is independent of that of regularity.
非线性偏差变元微分不等式解的性质及其应用
魏俊杰
1989, 4(3): 81-86.
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In this paper,we study the oscillatory behaviors of the delay inequalities
…
and
… .
We improved the main results of [3-6].
正态一次、二次顺序统计量的分布和矩的渐近性质
李世取
1989, 4(3): 87-88.
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二阶非线性时滞方程的振动定理
俞元洪
1989, 4(3): 89-90.
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一类大系统周期解的存在性
赵晓强
1989, 4(3): 91-92.
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一类超越函数根的分布
程远纪
1989, 4(3): 93-94.
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一类线性周期系统的平稳振荡
张毅
1989, 4(3): 95-97.
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关于单位圆内的零级亚纯函数
张庆彩
1989, 4(3): 98-100.
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关于Мелъников函数的应用和一点注记
俞伯华, 沈家骐
1989, 4(3): 101-103.
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关于全聚点集的几个定理
陶林实
1989, 4(3): 103-103.
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BCH-代数的子代数(Ⅰ)
胡庆平
1989, 4(3): 104-106.
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在皮亚诺算术模型上方括号划分的一个定理
张宏裕
1989, 4(3): 107-108.
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拟爱因斯坦流形的一些性质和在其上的拉普拉斯算子的特征值
成庆明
1989, 4(3): 109-110.
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