共查询到15条相似文献,搜索用时 109 毫秒
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运用Hille-Yosida定理,Phillips定理与Fattorini定理证明第二种服务可选的M/G/1排队模型存在唯一的概率瞬态解. 相似文献
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艾尼·吾甫尔 《应用泛函分析学报》2004,6(2):106-121
首先运用Phillips定理和Fattorini定理证明M/M^k,^B/1排队模型概率瞬态解的存在唯一性,然后通过研究对应于M/M^k,^B/1排队模型的主算子的共轭算子的豫解集得到该主算子的豫解集:在虚轴上除了零点外其它所有点都属于该主算子的豫解集. 相似文献
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本文首先证明当服务强度小于1时,GI/G/1排队系统的队长是一个特殊的马尔可夫骨架过程——正常返的Doob骨架过程,然后运用马尔可夫骨架过程的强大数定律和中心极限定理等重要结果,给出了队长的累积过程的期望和方差,并给出了该累积过程满足强大数定律和中心极限定理的充分条件。 相似文献
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本文利用BDF定理以及构造技巧证明了关于本质正规算子的Pearcy-Salinas定理.作为此定理的应用,证明了本质正规算子可以通过迹类算子的小扰动成为不可约算子. 相似文献
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《数学的实践与认识》2016,(23)
运用Hille-Yosida定理,Phillips定理与Fattorini定理证明具有非强占型优先权顾客的M_1~(X_1),M_2~(X_2)/G_1,G_2/1排队系统存在唯一的、非负的、满足概率性质的时间依赖解. 相似文献
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主要研究工作休假和休假中止的M/G/1排队系统,首先将对应于此系统的数学模型转化为抽象Cauchy问题,其次证明对应于此排队模型的主算子生成正压缩C0半群T(t),然后证明T(t)是局部等距的,最后证明此模型存在唯一的非负时间依赖解。 相似文献
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O. E. Tikhonov 《Functional Analysis and Its Applications》2007,41(3):245-246
The theorem in [E. B. Davies, J. London Math. Soc. (2), 4, 435–436 (1972)] is extended. As a corollary, Kadison’s theorem on strong continuity of operator functions is refined. 相似文献
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B.T. Kien 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(4):1495-1500
This paper gives a solution existence theorem for a generalized variational inequality problem with an operator which is defined on an infinite dimensional space, which is C-pseudomonotone in the sense of Inoan and Kolumbán [D. Inoan, J. Kolumbán, On pseudomonotone set-valued mappings, Nonlinear Analysis 68 (2008) 47-53], but which may not be upper semicontinuous on finite dimensional subspaces. The proof of the theorem provides a new technique which reduces infinite variational inequality problems to finite ones. Two examples are given and analyzed to illustrate the theorem. Moreover, an example is presented to show that the C-pseudomonotonicity of the operator cannot be omitted in the theorem. 相似文献
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Wend Werner 《Journal of Functional Analysis》2002,193(2):207-223
A result of Choi and Effros says how *-invariant spaces of bounded operators on Hilbert space that contain the identity can be abstractly characterized in terms of their order structure. The aim here is to dispose of the identity and to prove a similar theorem for spaces of bounded operators that are merely *-invariant. Absence of a unit will also permit to deal with duals in a satisfactory way. 相似文献
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By means of the Leggett-Williams fixed-point theorem, criteria are developed for the existence of at least three positive solutions to the one-dimensional p-Laplacian boundary value problem, ((y′))′ + g(t)f(t,y) = 0, y(0) - B0(y′(0)) = 0, y(1) + B1(y′(1)) = 0, where (v) |v|p−2v, p > 1. 相似文献