On stability of linear differential equations with commensurate delayed arguments

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
On stability of linear differential equations with commensurate delayed arguments
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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