共查询到20条相似文献,搜索用时 140 毫秒
1.
本文我们讨论了具有周期孔隙区域上弹性系统的混合边值问题,其中外部边界是位移和力的混合边界,孔隙表面是Dirichlet位移边界条件.目前还没有人得到这一问题的双尺度完全渐近展开式,主要困难在于余法线项在边界Ω附近难以估计.我们借助Schwarz交替法的思想,得到该问题的双尺度渐近分析结果. 相似文献
2.
本文我们讨论了具有周期孔隙区域上弹性系统的混合边值问题,其中外部边界是位移和力的混合边界,孔隙表面是Dirichlet位移边界条件,目前还没有人得到这一问题 双尺度完全渐近展开式,主要困难在于余法线项在边界e↓Ω附近难以估计,我们借助Schwarz交替法的思想,得到该问题的以尺度渐近分析结果。 相似文献
3.
陈超平 《数学年刊A辑(中文版)》2021,42(1):89-104
文章给出一个递推关系式来确定Landau常数的渐近展开式的系数.考虑了Euler-Mascheroni常数和n!的渐近展开式,并给出了递推关系式来确定每个展开式的系数,没有利用Bernoulli数. 相似文献
4.
具有特殊扩散过程的反应扩散方程 总被引:2,自引:0,他引:2
本文考虑如下具有特殊扩散系数的化学反应扩散方程的整体解存在性、渐近性和局部解有限时间爆破,这里Ω是RN(N≥3)中的光滑有界区域,0∈Ω,1<p<N+2/N-2. 相似文献
5.
Wallis不等式的新改进 总被引:1,自引:0,他引:1
对Wallis不等式做出了新的改进.与目前掌握的文献相比,所得结果精度更高,且容易估计误差.同时还导出了(2n(2-n)1!)!!!的一个渐近展开式. 相似文献
6.
本文研究了H01(Ω)×H01(Ω)上2≤r≤3时一类非自治发展方程的渐近行为,其中非线性项f满足临界指数增长。 相似文献
7.
Krawtchouk多项式在现代物理学中有着广泛应用.基于Li和Wong的结果,利用Airy函数改进了Krawtchouk多项式的渐近展开式,而且得到了一个一致有效的渐近展开式.进一步,利用A的函数零点的性质,推导出了Krawtchouk多项式零点的渐近展开式,并讨论了其相应的误差限.同时还给出了Krawtchouk多项式和其零点的渐近性态,它优于Li和Wong的结果. 相似文献
8.
杨一都 《高等学校计算数学学报》2008,30(3)
1引言 Richardson外推是数值计算各个方面广泛使用的一种高效算法,它的理论基础是渐近展开式.1983年文[6]对三角形网格首先证明了二阶椭圆问题协调有限元渐近展开式,这以后有限元外推迅速发展成一个国际性研究课题,文[5],[7]对有限元外推作了系统、深入的论述.板弯曲和板振动是数学力学界关注的课题.对简支板弯曲问题,文[11]证明了Ciarlet-Raviart(简记为C-R)混合有限元渐近展开式. 相似文献
9.
本文讨论了具有结构阻尼的Kirchhoff型波方程:■解的适定性和长时间行为.当非线性项f的增长指数满足2≤p≤3+2γ时,借助Faedo-Galerkin逼近方法和渐近正则估计,得到了解的适定性和正则性.继而利用收缩函数方法验证解过程的渐近紧性.最终证明了时间依赖全局吸引子在自然能量空间H01(Ω)×L2(Ω)中的的存在性. 相似文献
10.
基于指数型完全Bell多项式,建立了一个一般调和数渐近展开式,并给出展开式中系数的相应递推关系.由生成函数方法进一步推导出这些系数的具体表达式.另外,我们建立了两个在对数项里只含有奇数或偶数次幂项的lacunary调和数渐近展开式, 相似文献
11.
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
12.
N/Kbe a Galois extension of number fields with finite Galois group G.We describe a new approach for constructing invariants of the G-module structure of the K groups of the ring of integers of N in the Grothendieck group of finitely generated projective Z[G]modules. In various cases we can relate these classes, and their function field counterparts, to the root number class of Fröhlich and Cassou-Noguès. 相似文献
13.
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
14.
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
15.
We study the nilpotency of the sums of all coefficients of some sorts of products of polynomials over reversible, IFP, and NI rings, and introduce an SCN ring as a generalization. We characterize SCN rings in relation with related ring properties, and also provide several useful properties and ring extensions of SCN rings. 相似文献
16.
17.
Nguyêñ Quoôć Thǎ;ńg 《代数通讯》2013,41(3):1097-1110
We present a unified approach to compute the number of connected components in the group of real points of adjoint almost simple real algebraic groups. 相似文献
18.
Rodney Y. Sharp 《Proceedings of the American Mathematical Society》2003,131(10):3009-3017
It is a well-known result of M. Brodmann that if is an ideal of a commutative Noetherian ring , then the set of associated primes of the -th power of is constant for all large . This paper is concerned with the following question: given a prime ideal of which is known to be in for all large integers , can one identify a term of the sequence beyond which will subsequently be an ever-present? This paper presents some results about convergence of sequences of sets of associated primes of graded components of finitely generated graded modules over a standard positively graded commutative Noetherian ring; those results are then applied to the above question.
19.
本文在LF拓扑空间中建立了L-fuzzy集网的弱收敛(R-收敛)概念,应用文[4]中的R-闭包,系统讨论了它们的性质,证明了等式RlimA_n=∧(∨A_m)_R和RlimA_n=A_n=∧(∨A_m)_R并且给出了L-fuzzy集网与其子网之间的关系。 相似文献
20.
Let G be a graph and let Pm(G) denote the number of perfect matchings of G.We denote the path with m vertices by Pm and the Cartesian product of graphs G and H by G×H. In this paper, as the continuance of our paper [W. Yan, F. Zhang, Enumeration of perfect matchings of graphs with reflective symmetry by Pfaffians, Adv. Appl. Math. 32 (2004) 175-188], we enumerate perfect matchings in a type of Cartesian products of graphs by the Pfaffian method, which was discovered by Kasteleyn. Here are some of our results:1. Let T be a tree and let Cn denote the cycle with n vertices. Then Pm(C4×T)=∏(2+α2), where the product ranges over all eigenvalues α of T. Moreover, we prove that Pm(C4×T) is always a square or double a square.2. Let T be a tree. Then Pm(P4×T)=∏(1+3α2+α4), where the product ranges over all non-negative eigenvalues α of T.3. Let T be a tree with a perfect matching. Then Pm(P3×T)=∏(2+α2), where the product ranges over all positive eigenvalues α of T. Moreover, we prove that Pm(C4×T)=[Pm(P3×T)]2. 相似文献