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Integral representation formula for linear non-autonomous difference-delay equations

Laurent BaratchartS\'ebastien FueyoJean-Baptiste Pomet
Nov 2023
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摘要原文
This note states and proves an integral representation formula of the "variation-of-constant" type for continuous solutions of linear non-autonomous difference delay systems, in terms of a Lebesgue-Stieltjes integral involving a fundamental solution and the initial data of the system. It gives a precise and (hopefuly) correct version of several formulations appearing in the literature, while extending them to the time-varying case.
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