共查询到20条相似文献,搜索用时 218 毫秒
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本文讨论在一般的右连续流完备概率空间中,由Brown运动与Piosson点过程联合驱动的倒向随机 分方程解的存在唯一性问题。当参数中可积时,若p=2且在局部Lipschitz条件下,或p≥2且在Lipschitz条件下,解存在且唯一。 相似文献
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讨论了Benjamin-Ono方程在Colombeau意义下的广义解的存在性,唯一性及在经典解存在的情况下与经典解的关系. 相似文献
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一类非线性波动方程的显式精确解 总被引:14,自引:0,他引:14
本文用直接方法和假设的一种结合求出了一类较广泛的非线性波动方程utt-a1uxx+a2ut+a3u+a4uS^2+a5u^3=0的一些显式精确行波解,贱个有重要的非线性数学物理方程,如φ^4方程,Klein-Gordon方程,Sine-Gordon方程,及Sinh-Gordon方程的近似,Landau-Ginzburg-Higgs方程,Duffing方程,非线性电报方程等都可作为该方程的特殊情形得 相似文献
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梁学信 《纯粹数学与应用数学》1996,12(1):122-128
在E^n(0,∞)上讨论双非线性抛物型方程a/at(|u|^λ-2u)-div(|△u|^p-2△u)=0在p>λ>2的条件下,证明它的齐次Cauchy问题非负整体解必是零解。 相似文献
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精确地刻画了某些奇异扰动的p-Laplace方程非负非平凡解和正解的结构.利用上下解方法证明,方程存在很多非负非平凡的尖峰解和正的过渡尖峰解.当参数充分小时还对每个尖峰解支集的上下界进行了估计. 相似文献
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关于一类非线性微分方程组的边值问题的渐近解(Ⅰ) 总被引:1,自引:1,他引:0
应用新的方法 ,研究一类非线性微分方程组 u″ =v,εv″ f(x ,u ,u′)v′ -g(x ,u ,u′)v =0 (0 <ε 1) ,的边值问题的解的渐近性质· 构造出解的渐近展开式 ,和估计了余项 ,改进并拓广了前人的工作· 相似文献
11.
Piotr Je¸drzejewicz 《代数通讯》2013,41(4):1500-1508
Let A be a UFD of characteristic p > 0, let 𝒵 be a set of some eigenvectors of a derivation of A. We prove, under some additional assumptions, a necessary and sufficient condition for 𝒵 to be a p-basis of the minimal ring of constants containing 𝒵. The main preparatory result is the unique decomposition theorem with respect to a factor from a given subalgebra containing Ap. 相似文献
12.
Jogi Henna 《Annals of the Institute of Statistical Mathematics》2005,57(4):655-664
An estimator of the number of components of a finite mixture ofk-dimensional distributions is given on the basis of a one-dimensional independent random sample obtained by a transformation
of ak-dimensional independent random sample. A consistency of the estimator is shown. Some simulation results are given in a case
of finite mixtures of two-dimensional normal distributions. 相似文献
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有资格限制的指派问题的求解方法 总被引:3,自引:0,他引:3
在实际的指派工作中,常会遇到某个人有没有资格去承担某项工作的问题,因此,本建立了有资格限制的指派问题的数学模型。在此数学模型中,将效益矩阵转化为判定矩阵,由此给出了判定此种指派问题是否有解的方法;在有解的情况下,进一步将效益矩阵转化为求解矩阵,从而将有资格限制的指派问题化为传统的指派问题来求解。最后给出了一个数值例子来说明这样的处理方法是有效的。 相似文献
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We investigate a system of two first-order differential equations that appears when averaging nonlinear systems over fast one-frequency oscillations. The main result is the asymptotic behavior of a two-parameter family of solutions with an infinitely growing amplitude. In addition, we find the asymptotic behavior of another two-parameter family of solutions with a bounded amplitude. In particular, these results provide the key to understanding autoresonance as the phenomenon of a considerable growth of forced nonlinear oscillations initiated by a small external pumping. 相似文献
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Dorota Kuchta 《Fuzzy Optimization and Decision Making》2007,6(2):173-178
On the basis of a known application of an order weighted averaging operator to the decision making in the case of a discrete
set of states of nature, a general approach to the case of a continuous set of states of nature is proposed. The general approach
encompasses various types of attitudes of the decision maker, expressed in the form of fuzzy numbers. 相似文献
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Geometry of the Space of Phylogenetic Trees 总被引:2,自引:0,他引:2
We consider a continuous space which models the set of all phylogenetic trees having a fixed set of leaves. This space has a natural metric of nonpositive curvature, giving a way of measuring distance between phylogenetic trees and providing some procedures for averaging or combining several trees whose leaves are identical. This geometry also shows which trees appear within a fixed distance of a given tree and enables construction of convex hulls of a set of trees. This geometric model of tree space provides a setting in which questions that have been posed by biologists and statisticians over the last decade can be approached in a systematic fashion. For example, it provides a justification for disregarding portions of a collection of trees that agree, thus simplifying the space in which comparisons are to be made. 相似文献
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Let G be a finite group, let π be a set of primes and let p be a prime. We characterize the existence of a normal Hall π‐subgroup in G in terms of the order of products of certain elements of G. This theorem generalizes a characterization of A. Moretó and the second author by using the orders of products of elements for those groups having a normal Sylow p‐subgroup 6 . As a consequence, we also give a π‐decomposability criterion for a finite group also by means of the orders of products. 相似文献
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M.S. Burgin 《Mathematical Social Sciences》1982,2(4):335-343
The author has previously defined the concept of a general system in terms of operators and operands. An operand is a mapping defined on a subset of an m-fold Cartesian product instead of the usual set and collection of k-ary relations on it. An operator is a kind of mapping between two collections of operands. Here subsystems, extensions, and the notion of P-semiexactness is studied. In particular we derive conditions such that P-semiexactness of a composition of operators, and of one factor, implies P-semiexactness of the other factor. 相似文献
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Homayoon Arabyani 《Quaestiones Mathematicae》2019,42(1):37-45
In [H. Safa and H. Arabyani, On c-nilpotent multiplier and c-covers of a pair of Lie algebras, Commun. Algebra 45(10) (2017), 4429–4434], we characterized the structure of the c-nilpotent multiplier of a pair of Lie algebras in terms of its c-covering pairs and discussed some results on the existence of c-covers of a pair of Lie algebras. In the present paper, it is shown under some conditions that a relative c-central extension of a pair of Lie algebras is a homomorphic image of a c-covering pair. Moreover, we prove that a c-cover of a pair of finite dimensional Lie algebras, under some assumptions, has a unique domain up to isomorphism and also that every perfect pair of Lie algebras admits at least one c-cover. Finally, we discuss a result concerning the isoclinism of c-covering pairs. 相似文献
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M. Giusti G. Lecerf B. Salvy J.-C. Yakoubsohn 《Foundations of Computational Mathematics》2005,5(3):257-311
At the beginning of the 1980s, M. Shub and S. Smale developed a
quantitative analysis of Newton's method for multivariate analytic
maps. In particular, their α-theory gives an effective
criterion that ensures safe convergence to a simple isolated zero.
This criterion requires only information concerning the map at the
initial point of the iteration. Generalizing this theory to multiple
zeros and clusters of zeros is still a challenging problem. In this
paper we focus on one complex variable function. We study general
criteria for detecting clusters and analyze the convergence of
Schroder's iteration to a cluster. In the case of a multiple root,
it is well known that this convergence is quadratic. In the case of a
cluster with positive diameter, the convergence is still quadratic
provided the iteration is stopped sufficiently early. We propose a
criterion for stopping this iteration at a distance from the cluster
which is of the order of its diameter. 相似文献