P-Sasakian流形的外蕴球面(英)

本文讨论了P－Sasakian流形的外蕴球面，并给出了P－Sasakian流形的外蕴球面的一个分类定理．     

奇异非线性常微分方程非线性边界条件非负解的存在性

本文证明了非负解的存在性．这里（S）＝|S|P－2S，P＞1．     

一类多维马尔可夫链的性质

设d－维Markov链P是由d个不可约Markov链P（k），k＝1，2，…，d按照方式（1）所产生．本文证明了P与｛P（k）｝两者的正常返等价，得到了P的平稳分布的乘积形式，讨论了P与｛P（k）｝之间的常返关系．     

Hermite—Fejer插值于Lp下的收敛逼近阶

本文把文［1—3」等仅对P≤4给予证明的P．Erdos－Feldheim型定理给出了一个完整的证明，且把文［1］的结果作了改进．     

B—值U统计量的尾概率及其收敛速度

假设B是可分巴氏空间，（S，S，P）是概率空间，H是从Sm到B的可测对称核函数．本文中研究了基于P和H的B－值U统计量H的尾概率．这可以看作相应的独立同分布结果的推广．     

随机微分方程终值问题的弱解(英)

设｛Wt．Ft．t∈［0．T］｝为概率空间（Ω，P）上的标准α维Brown运动，为由它生成的自然σ－代数流．本文讨论了如下随机微分方程终值问题弱解的存在性：其中ξ∈L2（Ω，P；Rn），g：［0，T」×Rn×Rnd→Rn为有界可测函数．此外，还讨论了它在金融市场期权定价问题中的应用．     

一类多目标规划的同伦方法

1．引言考虑下述多目标规划问题：其中F（x）一（fi（x），人（x），…，人（x》”，人（x）（j—1，2，…，m）EC’，g；（x）（i—l，2，…，P）EC’，X6R“对于问题（P；），若考虑在最不利的情况下找出一个最有利的方案，依据「l〕，可转化为求下述问题（P。）：其中U（F（x》一max人（x））且有：引理1［‘］问题（P。）的最优解为问题（P；）的弱最优解．显然，问题（P。）等价于下述问题（P。）［‘］：则问题（P。）等价于下列问题（P．）：2．同伦方法的建立由【3j知，相应于（P。）的Kuhn－Tucker方程：其中Y一dia－（－…     

右消去幺半群、左正则带和左正则型A幺半群

本文利用右消去幺半群,左正则带建立了真左正则型A幺半群．在证明了任一左正则型A幺半群均有P－覆盖后,给出P－覆盖的结构．     

理科第21题别解

试回已知数列《a．），仇）都是由正数组成的等及匕数列，公止匕分别为卢，q其中P＞q，且户上1，q学1，设c．一a。＋b．，S。为数列《c。），’－－。。－。，S．的前n项和，求tim台上．—””’””’一’””———SI”解法1”．”c。一点一一f－－b＊解法3理科第21题别解@万家练$安徽肥西师范学校!231200@张德权$湖北南漳县一中!441500@林松$武汉市七一中学!430010     

一维奇异p-Laplace方程的正解

本文获得了一维奇异p－Laplace方程的Dirichlet边值问题（|y′|p-2y′）′＋g（t，y）＝0，y（0）＝y（1）＝0，P＞1的两个正解存在定理．这一结论是通过使用Leray－Schauder非线性抉择及上下解方法建立的．     

弱完全并既约元及其应用

首先,引入弱完全并既约元的概念,讨论它的一些基本性质,并给出完全并既约元另一等价定义。其次,借助于下邻给出了并既约元为弱完全并既约元的一个内部刻画。最后,研究了各种既约元,素元,弱完全并既约元以及紧元之间的关系。     

Defence and attack of systems with variable attacker system structure detection probability

A system consists of identical elements. The cumulative performance of these elements should meet a demand. The defender applies three types of defensive actions to reduce a damage associated with system performance reduction caused by an external attack: deploying separated redundant genuine system elements, deploying false elements, and protecting genuine elements. If the attacker cannot distinguish between genuine and false elements, he chooses a number of elements to attack and then selects the elements at random, distributing his resources equally across these elements. By obtaining intelligence data, the attacker can get full information about the system structure and identify false and unprotected genuine elements. The defender estimates the probability that the attacker can identify all system elements. This paper analyses the influence of this probability in a non-cooperative two-period minmax game between the defender and the attacker.     

关于拟协调单元的注记

唐立民等于1979年提出拟协调单元的概念.拟协调单元是非协调单元的一种,虽然在单元边界上保持了积分意义下的连续性,但是仍然产生变分“犯规”.本文第一节将对拟协调单元作某些进一步的讨论,并给出一般的收敛定理.第二节将研究准协调单元.     

Finite distributive nearlattices

Our main goal is to develop a representation for finite distributive nearlattices through certain ordered structures. This representation generalizes the well-known representation given by Birkhoff for finite distributive lattices through finite posets. We also study finite distributive nearlattices through the concepts of dual atoms, boolean elements, complemented elements and irreducible elements. We prove that the sets of boolean elements and complemented elements form semi-boolean algebras. We show that the set of boolean elements of a finite distributive lattice is a boolean lattice.     

关于高精度12参矩形板元的分析

It is proved that the so-called a set of 12-parameter rectangular plate elements with high accuracy constructed by using double set parameter method and undetermined method are, in fact, the same one; the real shape function space is nothing but the Adini's element's, which has nothing to do with the other high degree terms and leads to a new method for constructing the high accuracy plate elements. This fact has never been seen for other conventional and unconventional, conforming and nonconforming rectangular plate elements, such as Quasi-conforming elements, generalized conforming elements and other double set parameter finite elements. Moreover, such kind of rectangular elements can not be constructed by the conventional finite element methods.     

Dimension Formulas for the Free Nonassociative Algebra

The free nonassociative algebra has two subspaces which are closed under both the commutator and the associator: the Akivis elements and the primitive elements. Every Akivis element is primitive, but there are primitive elements which are not Akivis. Using a theorem of Shestakov, we give a recursive formula for the dimension of the Akivis elements. Using a theorem of Shestakov and Umirbaev, we prove a closed formula for the dimension of the primitive elements. These results generalize the Witt dimension formula for the Lie elements in the free associative algebra.     

12参双参数矩形板元的误差估计

双参数方法是构造高阶问题有限元的有效方法．以此方法构造的双参数元是一种非标准元，以往文献中只证明了它的收敛性．此文针对具体12参双参数矩形板元给出它的误差估计式，并分析了节点参数的扰动量．文中的分析方法也适合于其它双参数矩形板元的误差估计．     

一类新的六参数非协调四边形单元

利用分析ｓｐｅｃｈｔ元的技巧，构造了一类新的非协调四边形单元，并证明由此产生的有限元对任意四边形网格收敛且效果同Ｗｉｌｓｏｎ元．ＱＰ６元是其中的特例     

Divisorial Elements in Lattice-Ordered Monoids

Let S be a commutative lattice-ordered monoid that is conditionally complete and admits residuals. Imitating the definition of divisorial ideals in commutative ring theory, we study divisorial elements in S. The archimedean divisorial elements behave especially nicely. We establish a Galois correspondence of the divisorial elements in a finite interval. Assuming the maximum condition on integral divisorial elements, it is shown that their Krull associated primes are divisorial and the integral divisorial elements admit irredundant representations as intersections of finitely many p-components that are p-primal divisorial elements.     

Primitive Elements and Automorphisms of Free Algebras of Schreier Varieties

In this article, we review results on primitive elements of free algebras of main types of Schreier varieties of algebras. A variety of linear algebras over a field is Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras. A system of elements of a free algebra is primitive if it is a subset of some set of free generators of this algebra. We consider free nonassociative algebras, free commutative and anti-commutative nonassociative algebras, free Lie algebras and superalgebras, and free Lie p-algebras and p-superalgebras. We present matrix criteria for systems of elements of elements. Primitive elements distinguish automorphisms: endomorphisms sending primitive elements to primitive elements are automorphisms. We give a series of examples of almost primitive elements (an element of a free algebra is almost primitive if it is not a primitive element of the whole algebra, but it is a primitive element of any proper subalgebra which contains it). We also consider generic elements and Δ-primitive elements. Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 74, Algebra-15, 2000.