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Full-Text Articles in Physical Sciences and Mathematics
Unique Solution To Periodic Boundary Value Problems, Yong Sun
Unique Solution To Periodic Boundary Value Problems, Yong Sun
Mathematics and System Engineering Faculty Publications
Existence of unique solution to periodic boundary value problems of differential equations with continuous or discontinuous right-hand side is considered by utilizing the method of lower and upper solutions and the monotone properties of the operator. This is subject to discussion in the present paper.
On Modulated Random Measures, Jewgeni H. Dshalalow
On Modulated Random Measures, Jewgeni H. Dshalalow
Mathematics and System Engineering Faculty Publications
In this paper the author introduces the notion of a modulated marked random measure, Zξ on the class of locally compact and σ-compact spaces with countable bases. As special cases, are marked processes modulated by ξ are considered where ξ is a semi-Markov or semi-regenerative process. For either case, the intensities k=limt→∞1tE[Zξ([0,t])] are evaluated in terms of parameters of ξ. Examples and applications to inventories, queueing processes and economics are discussed.