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Preprints, Working Papers, ... Year : 2023

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

Abstract

This note states and proves an integral representation formula for the continuous solutions of a linear non-autonomous difference delay system in terms of the Lebesgue-Stieltjes integral depending on the initial data of the system. It gives a precise and correct statement of various formulations in the literature, and extends it to the time-varying case.
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Dates and versions

hal-04204500 , version 1 (12-09-2023)
hal-04204500 , version 2 (16-11-2023)

Identifiers

  • HAL Id : hal-04204500 , version 2

Cite

Laurent Baratchart, Sébastien Fueyo, Jean-Baptiste Pomet. Integral representation formula for linear non-autonomous difference-delay equations. 2023. ⟨hal-04204500v2⟩
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