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在较弱的条件下, 我们研究了Banach空间中二阶脉冲积分-微分方程初值问题解的存在性, 建立了解的存在定理, 本质地改进了郭大钧的相关结果. 同时, 利用非紧性测度还给出了存在最大最小解的一个充分条件.
关于点集拓扑学中的一个定理
2007/12/17
若 A\cup B≠D(c),则存在(c,v_0)∈D(c),使\bar{\lambda}(v_0)a.故存在 n_0,使当 n≥n_0时\bar{\lambda}(v_0)α_n。利用常规证法(参见[1]中p.122)可知,必存在R~1×X 中的有界开集 U,满足 E(V_0)\subset U,\partial D=\phi,\bar{U}(α_n_0,β_n_0)×X。由 D 的定义知,存在...
THE SPLITTING EXTRAPOLATION FOR FINITE ELEMENT METHOD
Splitting extrapolation parallel algori
2007/12/10
摘要 A new splitting extrapolation based on multivariate asymptotic expansionsof finite elemellt eraes for differellt mesh parameters is described. By means of splittingextrapolation, a far 3 scale prob...
A MUCLTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM
Finite element multi-parameter error ex
2007/12/10
摘要 The finite element solutions of elliptic equations are shown to have a multiparameter asymptotic error expansion. Based on this expansion and a multi-parameter splitting extrapolation technique, a ...
ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT
Wave equation boundary feedback expone
2007/12/10
摘要 This paper is concerned with the stabilization problem of wave equation with variable coefficient under boundary feedback control. It is shown that the energy of the system decays exponentially if ...
代数拓扑的构造性理论——Ⅰ.量度与能计算性概念
2007/8/27
对某类拓扑空间对应某类代数结构,称之为量度.拓扑中常用的量度有同调群(或环)H,同伦群π等.通过这些量度的代数探讨,以得出有关拓扑空间的种种结论,乃是代数拓扑的基本方法,这与初等解析几何的方法是类似的.设 M 是一量度,G 是一几何作法,从空间 X_1,X_2,…作出一新空间 Z.代数拓扑中经常须从 M(X_i)获得关于 M(Z)的知识.为此引入下面的基本定义。若 M(Z)可从 M(X_i)以及其...
A New Routing Algorithm for the Shuffle-Exchange Permutation Network
Cayley graph fixed degree routing shuffle-exchange permutation network
2007/8/7
In this paper, a new routing algorithm is given for the shuffle-exchange permutation network (SEPn ). The length of the path between any two nodes given by our algorithm is not more than (11/16)n2+O(n...
一类初等微分几何定理机器证明的算法与实现
定理机器证明 曲面上的曲线 外微分运算 向量计算
2007/8/7
空间曲面上的曲线论是初等微分几何的重要部分.作者提出了一种以外微分运算和向量计算为主要工具,可以进行有关曲面上曲线局部性质的定理机器证明的算法.该算法结合了曲面上的活动标架,曲面上曲线的测地标架和曲线自身的Frenet标架,在Maple 9下得到实现.对20个例子进行的测试表明,由该算法生成的自动证明简短可读.
关于微分熵的一类强偏差定理
微分熵 强偏差定理 相对熵率 Laplace变换
2007/8/7
利用关于乘积分布密度的相对熵和相对熵率的概念, 建立了相依连续型随机变量序列关于参考微分熵的一类强偏差定理,证明中给出了将Laplace变换应用于微分熵强偏差定理的研究的一种途径.
通过建立一个特殊的锥, 运用锥拉伸与锥压缩不动点定理, 获得了Banach空间中一类非线性混合型奇异积分-微分方程边值问题多解的存在性.
This paper addresses estimation and its asymptotics of meantransformation $\theta=E[h(X)]$ of a random variable $X$ based on$n$ iid. observations from errors-in-variables model $ Y=X+~v $,where $v$ is...
THE STRUCTURE AND PRECISE MODERATE DEVIATIONS OF RANDOM VARIABLES WITH DOMINATEDLY VARYING TAILS
Structure precise moderate deviations
2007/8/7
This paper shows the structure of the random variables with dominatedly varyingtails and that of the associated random variables, and obtains some results on theser.v.s' precise moderate deviations wi...
线性齐次偏微分方程组吴特征列和 Janet 基的等价性
线性齐次微分方程组 吴微分特征列 Janet基
2007/8/7
本文简单介绍了吴微分特征列和 Janet 基, 利用线性齐次微分方程组既约化基的概念,证明了线性齐次偏微分方程组的正规化的吴微分特征列和正规化的、自约化的Janet 基均是既约化基,从而由既约化基的唯一性,得到了它们的等价性定理.
EFFECTS OF TOXICANTS ON CHEMTAT MODEL WITH TIME VARIABLE NUTRIENT INPUT AND WASHOUT
Chemostat population toxicant time va
2007/8/7
The influence of toxicants on the competition of n populations for time variable nutriellt input rate and time variable washout rate in a chemostat model is investigated. After proving some qualitativ...
CONSTRUCTION OF SAC PERMUTATIONS
2007/8/7
Nonlinear permutations of GF(2^n) with strong cryptographic properties have important applications in cryptology such as DES-like block ciphers, hush functions and stream ciphers. In paPer [1], we pro...