Integral representation formula for linear non-autonomous difference-delay equations
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914963753271296 |
|---|---|
| author | Baratchart, Laurent Fueyo, Sébastien Pomet, Jean-Baptiste |
| author_facet | Baratchart, Laurent Fueyo, Sébastien Pomet, Jean-Baptiste |
| contents | 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. This gives a precise and correct version of several formulations appearing in the literature, and extends them to the time-varying case. This is of importance for further stability studies of various kinds of delay systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09842 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Integral representation formula for linear non-autonomous difference-delay equations Baratchart, Laurent Fueyo, Sébastien Pomet, Jean-Baptiste Dynamical Systems 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. This gives a precise and correct version of several formulations appearing in the literature, and extends them to the time-varying case. This is of importance for further stability studies of various kinds of delay systems. |
| title | Integral representation formula for linear non-autonomous difference-delay equations |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2311.09842 |