On stability of linear differential equations with commensurate delayed arguments

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU143530" target="_blank" >RIV/00216305:26210/22:PU143530 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.sciencedirect.com/science/article/pii/S089396592100402X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S089396592100402X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2021.107750" target="_blank" >10.1016/j.aml.2021.107750</a>

Jazyk výsledku
angličtina
Název v původním jazyce
On stability of linear differential equations with commensurate delayed arguments
Popis výsledku v původním jazyce
The paper studies a class of linear differential equations with several delayed arguments formed by iterates of a given function. The main result of this paper improves the existing stability criteria and formulates an effective necessary and sufficient condition relating stability of the studied differential equations to stability of some auxiliary difference equations. In the case of a two-delay equation, this condition is presented explicitly in terms of the equation’s parameters. As an accompanying result, the asymptotic decay rate of the solutions is described as well.
Název v anglickém jazyce
On stability of linear differential equations with commensurate delayed arguments
Popis výsledku anglicky
The paper studies a class of linear differential equations with several delayed arguments formed by iterates of a given function. The main result of this paper improves the existing stability criteria and formulates an effective necessary and sufficient condition relating stability of the studied differential equations to stability of some auxiliary difference equations. In the case of a two-delay equation, this condition is presented explicitly in terms of the equation’s parameters. As an accompanying result, the asymptotic decay rate of the solutions is described as well.

Projekt
<a href="/cs/project/GA20-11846S" target="_blank" >GA20-11846S: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění
2022
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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