共查询到20条相似文献,搜索用时 203 毫秒
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Summary In the course of the numerical solution of Eigenvalue-problems connected with linear differential equations, the so-called encompassing theorems are of great importantce. We generalize in this paper the most important results of the theory, especially the encompassing-theorems, to the case of systems of differential equations. We expound further a method of perturbation which can be well applied also in the practice for the solution of Eigenvalue-problems connected with the systems. The problem acrose in connection with the fixation of the number of critical self-oscillation of turbine shovels.
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一、一个共同存在的问题 1976年V.I.Arnold提出:向量场是由固定次数带有有理系数多项式来给定,是否能给出—个稳定性的判定准则? 王联、王慕秋在文[2]中解决了当n=2情况下的V.I.Arnold问题,杨世藩同志在文[3]中对n=3的情况进行了研究。并得到很好的结果,但在对于系统: 相似文献
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I.I.D.随机变量序列矩完全收敛的精确渐近性 总被引:2,自引:0,他引:2
{X,Xn;n≥1}为独立同分布的随机变量序列, EX=0,01 p/2满足E|X|r<∞,且E|X|3<∞,那么其中Z服从均值为0,方差为σ2的正态分布. 相似文献
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HU Dihe 《数学年刊B辑(英文版)》2002,23(4):461-468
I.i.d. random sequence is the simplest but very basic one in stochastic processes, and statistically self-similar set is the simplest but very basic one in random recursive sets in the theory of random fractal. Is there any relation between i.i.d. random sequence and statistically self-similar set? This paper gives a basic theorem which tells us that the random recursive set generated by a collection of i.i.d. statistical contraction operators is always a statistically self-similar set. 相似文献
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Uwe Einmahl 《Probability Theory and Related Fields》1989,82(2):241-257
Summary We obtain a general Darling-Erds type theorem for the maximum of appropriately normalized sums of i.i.d. mean zero r.v.'s with finite variances. We infer that the Darling-Erds theorem holds in its classical formulation if and only ifE[X
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1 {|X|t}]=o((loglogt)-1) ast. Our method is based on an extension of the truncation techniques of Feller (1946) to non-symmetric r.v.'s. As a by-product we are able to reprove fundamental results of Feller (1946) dealing with lower and upper classes in the Hartman-Wintner LIL. 相似文献
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For i.i.d. sequences (X
n) we characterize lim sup
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n/sup1i<n|S
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|= in terms of the distribution function. Previous results of Kesten(3) and Wittmann(6) are immediate consequences. We also determine the typical magnitude of sup1in|S
i
|.Partially supported by NSF Grant DMS-9007416 相似文献
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文献 [1]— [5 ]连续讨论了 I.J.Matrix定理的一些推广及应用 ,特别是文 [5 ]利用高阶微分的知识简明地给出了一个推广 ,本文给出其进一步的推广 .设 a0 ,a1 ,… ,an 是 n 1个互不相同且不为零的数 ,f ( x)是次数为 m的多项式 ,文 [5 ]讨论的是m相似文献
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Pierre Bérard 《Mathematische Annalen》1992,292(1):547-559
Sans résumé
Recherche effectuée au sein de l'U.R.A. C.N.R.S. no 188 et qui a bénéficié de crédits du contrat CEE#SC 1-0105-C GADGET et de l'OTAN 相似文献
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I.J.Matrix定理的更广泛推广 总被引:1,自引:1,他引:0
I.J.Matrix定理的更广泛推广张之正(河南洛阳师专数学系471022)近年来,数学通报连续讨论了1.J.Matrix定理的一些推广及其应用(文[l],[2]用复交函数中的留数定理,文[3J用初等方法,文[4]用线性代数中的Vandermonde... 相似文献
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Let M be a complete, connected, two-dimensional Riemannian manifold. Consider the following question: Given any (p1,v1) and (p2, v2) in T M, is it possible to connect p1 to P2 by a curve y in M with arbitrary small geodesic curvature such that, for i = 1, 2, y is equal to vi at pi? In this article, we bring a positive answer to the question if M verifies one of the following three conditions: (a) M is compact, (b) M is asymptotically flat, and (c) M has bounded nonnegative curvature outside a compact subset. 相似文献
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记B是可分Banach空间,X是B-值随机变量,N~d={■=n_1,…,n_d);n_i=1,2,…,i=1,…,d},T_θ~d={■∈=(n_1,…,n_d),θn_i≤n_y≤θ~(-1)n_4,i≠j,i,j=1,…,d},其中d≥2,0<1。本文研究指标在T_θ~d上变动的B-值i. i. d. r. v. ’s的四种类型的叠对数律(即BLIL~(θ,α)_1,BLIL~(θ,d)_2CLIL~(θ.D)_1和GLIL~(θ,d)_2,获得了X∈BLIL~(θ,α)_1、X∈BLIL~(θ,d)_2、X∈GLIL~(θ,d)_1和X∈GLIL~(θ,d)_2的充要条件。 相似文献
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广义神经传播方程的A.D.I.有限元分析 总被引:1,自引:0,他引:1
广义神经传播方程是神经传播方程的更一般形式,是一类非常重要的非线性发展方程,在生物、力学诸领域有实际背景.有关其解的性质,已有许多讨论I‘-‘],但数值计算和数值分析方面,还没有研究.而实际当中,研究模型的数值方法和定量计算,往往是非常重要的.本文着重讨论一类具有非线性边值条件的广义神经传播方程的交替方向有限元方法及其数值分析.算法上,采用交替方向有限元,化高维问题为低维问题,在缩减计算量的同时,保持高精确度.分析上,采用Sobolev投影,简化论证,得到理想的稳定性和收敛性结果.1方程模型及有限元数值… 相似文献
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This article gives sufficient conditions for the limit distribution of products of i.i.d. 2×2 random stochastic matrices to be continuous singular, when the support of the distribution of the individual random matrices is finite. 相似文献