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本文用有限差分格式对FitzHugh-Nagumo方程的时间变量和空间变量同时离散,给出了离散模型整体吸引子存在的条件。 相似文献
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本文对一类非线性时间序列模型xt=φ(xt-1,…,xt-p)+εth(xt-1,…,xt-p)给出了高阶矩的存在条件。 相似文献
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方道元 《数学年刊A辑(中文版)》1999,(4)
本文研究具弱衰减、小初值初始条件的一维Dirac-Klein-Gordon方程组解的存在时间估计问题,结果表明这类问题解的存在时间几乎比e-4大初值的弱衰减条件使得通常的方法不能使用,在此,通过利用Delort曾用过的方程组特征的曲率性质以及2次微局部椭圆正则性解决了该问题. 相似文献
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本文研究非稳态反应扩散对流方程ut=△u-f(u,Du)的死核问题,给出了一些死核存在的充分条件、死核形成时间的估计和死核大小的估计. 相似文献
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非自治Lotka-Volterra扩散模型的持续生存与周期轨道(英) 总被引:5,自引:0,他引:5
本文研究了一类非自治的捕食者一食饵扩散模型;其中食饵能在环境相异的两个缀块间有限制地扩散,但对捕食者来说,缀块间的扩散不受任何限制;另外假设模型的系数都是时间的函数.我们证明了在适当的条件下,这个系统能够持续生存,进一步给出了系统存在唯一全局渐近稳定正周期轨道的充分条件. 相似文献
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一个可修系统的最优更换模型 总被引:14,自引:0,他引:14
本文考虑了单部件、一个修理工组成的可修系统,在故障系统不能“修复如新”的前提下,我们利用几何过程,以系统年龄T为策略,选择最优的T使得系统经长期运行单位时间的期望效益达到最大.本文还在一定的条件下证明了最优更换策略T的唯一存在,且求出了系统经长期运行单位时间的最大期望效益的明显表达式. 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals. 相似文献
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ZHENG ShiJun 《分析论及其应用》2004,20(3)
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V. 相似文献
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It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary. 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献