共查询到20条相似文献,搜索用时 46 毫秒
1.
首先使用全局分歧理论得到了含参数非线性算子方程解集无界连通分支存在的结果,然后根据算子的正连通性得到了一类非正非线性算子方程正解的存在结果.使用本文的主要结果在无需假设非线性项为正的条件下可以得到某些微分边值问题正解的存在结果. 相似文献
2.
Johann Sjuts PD Dr 《ZDM》2005,37(5):424-430
Can the describable complexity of test problems concerning mathematical thinking and the empirical results of their dealing with be put into a relation? Can graded test problems be constructed which lead to results which can basically be predicted? Empirical studies give interesting and helpful answers which lead to didactically important consequences, just like the evaluation of the PISA results. 相似文献
3.
In this paper the extension of the Legendre least-squares spectral element formulation to Chebyshev polynomials will be explained.
The new method will be applied to the incompressible Navier-Stokes equations and numerical results, obtained for the lid-driven
cavity flow at Reynolds numbers varying between 1000 and 7500, will be compared with the commonly used benchmark results.
The new results reveal that the least-squares spectral element formulations based on the Legendre and Chebyshev Gauss-Lobatto
Lagrange interpolating polynomials are equally accurate. 相似文献
4.
Manuel AMANN 《Frontiers of Mathematics in China》2016,11(5):1099-1122
We depict recent developments in the field of positive sectional curvature, mainly, but not exclusively, under the assumption of isometric torus actions. After an elaborate introduction to the field, we shall discuss various classification results, before we provide results on the computation of Euler characteristics. This will be the starting point for an examination of more involved invariants and further techniques. In particular, we shall discuss the Hopf conjectures, related decomposition results like the Wilhelm conjecture, results in differential topology and index theory as well as in rational homotopy theory, geometrically formal metrics in positive curvature and much more. The results we present will be discussed for arbitrary dimensions, but also specified to small dimensions. This survey article features mainly depictions of our own work interest in this area and cites results obtained in different collaborations; full statements and proofs can be found in the respective original research articles. 相似文献
5.
Jolanta Słomińska 《Central European Journal of Mathematics》2003,1(3):327-331
In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning
categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same
objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets. 相似文献
6.
In this paper the extension of the Legendre least-squares spectral element formulation to Chebyshev polynomials will be explained. The new method will be applied to the incompressible Navier–Stokes equations and numerical results, obtained for the lid-driven cavity flow at Reynolds numbers varying between 1000 and 7500, will be compared with the commonly used benchmark results. The new results reveal that the least-squares spectral element formulations based on the Legendre and Chebyshev Gauss–Lobatto Lagrange interpolating polynomials are equally accurate. 相似文献
7.
基于存储论的军用油料订货行为分析 总被引:1,自引:0,他引:1
油料是军队不可或缺的战略物资,在满足正常供应和战略储备需要的同时,需要建立适宜的军用油料订货模型,谋求总体费用的最省,以经济效益的体现来促进军事效益的提高 相似文献
8.
We extend conjugacy results from Lie algebras to their Leibniz algebra generalizations. The proofs in the Lie case depend on anti-commutativity. Thus it is necessary to find other paths in the Leibniz case. Some of these results involve Cartan subalgebras. Our results can be used to extend other results on Cartan subalgebras. We show an example here and others will be shown in future work. 相似文献
9.
Janusz J. Charatonik Włodzimierz J. Charatonik 《Rendiconti del Circolo Matematico di Palermo》2001,50(3):569-578
It is observed that all results of Whittington's note [17] can be extended in two directions. The assumption of homogeneity
of the considered spaces can be weakened to monotone open homogeneity, and homeomorphisms used in the results can be replaced
by monotone open and closed mappings. In particular, the statement in the title is obtained. 相似文献
10.
New Results on Generalized $c$-Distance Without Continuity in Cone $b$-Metric Spaces over Banach Algebras 下载免费PDF全文
Yan Han & Shaoyuan Xu 《分析论及其应用》2022,38(3):335-350
In this work, some new fixed point results for generalized Lipschitz mappings on generalized $c$-distance in cone $b$-metric spaces over Banach algebras are obtained, not acquiring the condition that the underlying cone should be normal or the
mappings should be continuous. Furthermore, the existence and the uniqueness of the
fixed point are proven for such mappings. These results greatly improve and generalize several well-known comparable results in the literature. Moreover, some examples
and an application are given to support our new results. 相似文献
11.
Ernst Eberlein 《Statistics & probability letters》1984,2(5):291-293
We show that weak convergence results for partial sums of absolutely regular sequences can easily be derived from the corresponding convergence results for independent triangular arrays. The link to be used is a simple lemma on the total variation norm. 相似文献
12.
余览娒 《数学的实践与认识》2001,31(5):579-591
本文利用 F2 上方阵为平方矩阵的充要条件 ,证明了 :1任一阶数为偶数的整数矩阵可表示成 5个平方次幂整数矩阵之和 ;2任一整数矩阵可表示成 6个平方次幂整数矩阵之和 ,从而改进了文 [2 ,3 ]的主要结论 . 相似文献
13.
Gerhard Dziuk John E. Hutchinson 《Calculus of Variations and Partial Differential Equations》1996,4(1):27-58
We prove optimal convergence results for discrete approximations to (possibly unstable) minimal surfaces. This appears to be the first class of results of this type for geometric objects solving a highly non-linear geometric variational problem. We introduce a number of new techniques which we expect will be of use in other geometric problems. The theoretical approximation results are confirmed by numerical test computations. 相似文献
14.
Martini H. Swanepoel K.J. Weiss G. 《Journal of Optimization Theory and Applications》2002,115(2):283-314
We investigate the Fermat–Torricelli problem in d-dimensional real normed spaces or Minkowski spaces, mainly for d=2. Our approach is to study the Fermat–Torricelli locus in a geometric way. We present many new results, as well as give an exposition of known results that are scattered in various sources, with proofs for some of them. Together, these results can be considered to be a minitheory of the Fermat–Torricelli problem in Minkowski spaces and especially in Minkowski planes. This demonstrates that substantial results about locational problems valid for all norms can be found using a geometric approach. 相似文献
15.
There has been considerable interest in obtaining discrete results for random surfaces. Standard results have been published in journals of physics or engineering which have emphasised the applications. This paper gives a detailed background of the mathematical methods needed so that the central connection, namely truncated random variables, between these standard results can be understood. Distributions of discrete peak measures are obtained from the distributions of discrete profile measures of a random Gaussian surface by applying results for the distributions of truncated random variables. This enable the moments to be obtained from known results for the truncated distributions. 相似文献
16.
A Review of Results on Axially Symmetric Navier-Stokes Equations,with Addendum by X. Pan and Q. Zhang 下载免费PDF全文
Qi Zhang & Xinghong Pan 《分析论及其应用》2022,38(3):243-296
In this paper, we give a brief survey of recent results on axially symmetric
Navier-Stokes equations (ASNS) in the following categories: regularity criterion, Liouville property for ancient solutions, decay and vanishing of stationary solutions. Some
discussions also touch on the full 3 dimensional equations. Two results, closing of the
scaling gap for ASNS and vanishing of homogeneous D solutions in 3 dimensional
slabs will be described in more detail.In the addendum, two new results in the 3rd category will also be presented, which
are generalizations of recently published results by the author and coauthors. 相似文献
17.
本文将给出偏序集零调与可缩的几个充分条件,它们包含和深化了文[1]和[2]中的一些结果,把[2]中的一些结果推广到无限偏序集的情形. 相似文献
18.
John T. Conway 《Integral Transforms and Special Functions》2016,27(5):371-384
A substantial number of indefinite integrals are presented for the incomplete elliptic integrals of the first and second kinds. The number of new results presented is about three times the total number to be found in the current literature. These integrals were obtained with a Lagrangian method based on the differential equations which these functions obey. All results have been checked numerically with Mathematica. Similar results for the incomplete elliptic integral of the third kind will be presented separately. 相似文献
19.