تقرير
Integral representation formula for linear non-autonomous difference-delay equations
| العنوان: | Integral representation formula for linear non-autonomous difference-delay equations |
|---|---|
| المؤلفون: | Baratchart, Laurent, Fueyo, Sébastien, Pomet, Jean-Baptiste |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems |
| الوصف: | 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. Comment: arXiv admin note: text overlap with arXiv:2201.12066 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.09842 |
| رقم الأكسشن: | edsarx.2311.09842 |
| قاعدة البيانات: | arXiv |
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