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该文考虑了一类高阶线性常系数时滞微分方程 y( n) (t) py′(t) qy(t-τ) =0的广义振动性和广义非振动性 ,给出了一些该类方程广义振动和广义非振动的判定定理 .文中的定理 4还给出了一类非振动但广义振动的方程的判别法则 相似文献
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非线性时滞差分方程的线性化振动性 总被引:1,自引:0,他引:1
本文分临界和非临界两种情形,建立了非线性时滞差分方程与其线性化方程振动性等价定理,推广和改进已有的工作.作为推论,修正了文[2]中主要定理的错误. 相似文献
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n阶线性脉冲微分方程解的振动性 总被引:1,自引:0,他引:1
脉冲微分方程解的振动性由于在物理、生态、工程等领域有其应用背景,引起了人们的广泛兴趣,正在成为研究的热点.本文讨论了一类n阶线性脉冲微分方程解的振动性和非振动性,分别给出了n为奇数和偶数时该方程振动和非振动的充分条件,并通过3个例题说明了文中定理的应用,所得结论改进并推广了部分文献的相关结果. 相似文献
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建立了二阶非线性差分方程△(rn△xn-1) Pn△xn-1 qnf(xn)=0的振动准则,所得定理推广和改进了文献中的结果. 相似文献
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本文研究了二阶线性方程的振动性及非振动性问题,建立了若干新的振动与非振动性结果,它们改进并推广了若干已知的定理。 相似文献
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建立了一维p-laplacian方程(1)的一切解均为非振动的必要条件.所得定理改进了Kusano等在文[4]中的相应结果. 相似文献
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We propose a random censorship model which permits uncertainty in the cause of death assessments for a subset of the subjects in a survival experiment. A nonparametric maximum likelihood approach and a “self-consistency” approach are considered. The solution sets corresponding to both approaches are found. They are infinite and identical. Only some of the solutions are consistent; i.e., the MLEs and self-consistent estimators are not consistent in general. Two estimates are thus proposed and their asymptotic properties are studied. It is shown that both estimates are strongly consistent and converge to Gaussian processes. The covariance structures of these Gaussian processes are derived. 相似文献
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Global depth, tangent depth and simplicial depths for classical and orthogonal regression are compared in examples, and properties that are useful for calculations are derived. The robustness of the maximum simplicial depth estimates is shown in examples. Algorithms for the calculation of depths for orthogonal regression are proposed, and tests for multiple regression are transferred to orthogonal regression. These tests are distribution free in the case of bivariate observations. For a particular test problem, the powers of tests that are based on simplicial depth and tangent depth are compared by simulations. 相似文献
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Ira M. Gessel 《Journal of Combinatorial Theory, Series A》2011,118(2):591-612
Point-determining graphs are graphs in which no two vertices have the same neighborhoods, co-point-determining graphs are those whose complements are point-determining, and bi-point-determining graphs are those both point-determining and co-point-determining. Bicolored point-determining graphs are point-determining graphs whose vertices are properly colored with white and black. We use the combinatorial theory of species to enumerate these graphs as well as the connected cases. 相似文献
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MTL代数的特征定理 总被引:3,自引:1,他引:2
对于逻辑系统代数结构的研究,是一个十分重要的研究课题.近期提出的BL代数,R_0代数,MTL代数就是这个方向具有代表性的研究成果.本文讨论MTL代数的性质与结构,给出这种代数的几个特征定理,澄清这种代数与其它代数结构的关系.鉴于单位区间中由左连续t-范数诱导的剩余蕴涵与MTL代数的紧密联系,本文还考察了这种模糊蕴涵的特征性质. 相似文献
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H. W. Corley 《Journal of Optimization Theory and Applications》1985,47(4):491-498
Two-person games are defined in which the payoffs are vectors. Necessary and sufficient conditions for optimal mixed strategies are developed, and examples are presented. 相似文献
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秩为1矩阵的性质及应用 总被引:1,自引:0,他引:1
给出了秩1矩阵的结构,讨论了这类矩阵在矩阵运算、对角化、标准型等方面的性质,推广和改进了文[1]的一些相关结果,并指出了它的若干应用,重点讨论了一类矩阵,得到了有关结论和方法. 相似文献
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Janusz J. Charatonik Patricia Pellicer Covarrubias 《Proceedings of the American Mathematical Society》2002,130(7):2145-2154
Covering mappings on the dyadic solenoid are studied. Some results stated by Zhou Youcheng (2000) are discussed in a more detailed way by indicating certain inaccuracies in their proofs. These are either corrected or supplemented, or else suitable counterexamples are constructed. Some open questions are asked and connections with related results are considered.
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凹角型区域椭圆边值问题的自然边界归化 总被引:3,自引:0,他引:3
In this paper, the natural boundary reduction for some elliptic boundary value problems with concave angle domains and their natural boundary methods are investigated. The natural integral equations and the Poisson integral formulae are given. The finite element methods of the natural integral equations are discussed in details. The convergences of the approximate solutions and their error estimates are obtained. Finally, some numerical examples are presented to show that our methods are effective. 相似文献