共查询到19条相似文献,搜索用时 46 毫秒
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本文研究了K-单调系统的解的渐近性质.应用K-单调算子的性质,得到了保证K-单调系统的正周期解的存在性、唯一性、全局渐近稳定性的充分条件. 相似文献
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本文考察Smith[7]意义上的K型单调系统=F(χ)的渐近性质.在假定系统无闭轨且F有一个具有一定单调性质的首次积分的条件下,我们证明了,这类系统在一定区域内的解或者收敛于某一平衡点,或者对于充分大的(?)离开该区域的任一紧子集. 相似文献
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本文讨论了稠定的K-单调非线性算子的扩张,在较弱的条件下得到K-单调算子方程广义解的存在性、唯一性和投影法近似可解性的结果,最后应用于不可压缩的粘性流体绕流平板的边界层计算问题,数值效果良好。 相似文献
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T-单调映射在变分不等式及非线性互补问题中经常遇到.此映射对应的非线性问题的解具有一些非常好的性质.这些性质在解的存在性证明,数值算法的构造及其收敛性分析中占有重要地位.本文系统讨论T-单调映射的性质,建立T-单调映射与常见的一些映射,如单调映射和Z-映射之间的联系. 相似文献
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哈密顿函数H(x,y)=F(x)+G(y)所对应的哈密顿系统.给出了这类系统的周期解的周期为单调函数的几个充分条件,并用所得结果讨论了Volterral-Lotka系统和无阻尼、无强迫Duffing方程周期解周期的单调性. 相似文献
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文章引入Hilbert空间连续K-对偶,连续K-对偶对的概念,应用算子论的方法,讨论了Hilbert空间H上连续K-对偶和连续K-对偶对的若干性质及稳定性,并对已有文献的相关结论进行了推广. 相似文献
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本文绘出了KUR,LKUR和SKR的等价定义定义了紧K-一致凸性(CKUR);近K-一致凸性(NKUR)等概念,并给出了它们的一些性质。还给出了一些光滑性,并证明了这些光滑性与凸性之间的对偶关系 相似文献
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《应用数学年刊》2019,(4)
Traditional May type cooperative model incorporating Michaelis-Menten type harvesting is proposed and studied in this paper. Sufficient conditions which ensure the extinction of the first species and the existence of a unique globally attractive positive equilibrium are obtained, respectively. Numeric simulations are carried out to show the feasibility of the main results. 相似文献
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《随机分析与应用》2013,31(6):1177-1189
New very general univariate and multivariate probabilistic Ostrowski type inequalities are established, involving ‖·‖∞ and ‖·‖ p , p≥1 norms of probability density functions. Some of these inequalities provide pointwise estimates to the error of probability distribution function from the expectation of some simple function of the engaged random variable. Other inequalities give upper bounds for the expectation and variance of a random variable. All are done over finite domains. At the end are given applications, especially for the Beta random variable. 相似文献
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Yuan Zixia Niu Pengcheng 《偏微分方程(英文版)》2008,21(3):193-207
In this paper we prove some Liouville type results for the p-sub-Laplacian on the group of Heisenberg type. A strong maximum principle and a Hopf type principle concerning p-sub-Laplacian are established. 相似文献
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We characterize the irreducible representations of the general linear group GL(V) that have multiplicity 1 in the direct sum of all Schur modules of a given exterior power of V. These have come up in connection with the relations of the lower order minors of a generic matrix. We show that the minimal relations conjectured by Bruns, Conca and Varbaro are exactly those coming from partitions of single exterior type. 相似文献
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本文建立了能同时处理证据、规则的不确定性以及证据与规则近似匹配的Gentzen型模糊推理的语形方法. 相似文献
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In the present paper we consider quartic piecewise polynomial for approximation to the function f ∈ C 2 [0, 1]. A convex type condition has been imposed in the partition so that the matrix involved for the computation of pp functions is of lower band. This reduces the computation for constructions of the pp functions for the approximation. 相似文献