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Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms. / Матвеева, Инесса Изотовна; Хмиль, Арсений Владимирович.

In: Mathematical Notes of NEFU, Vol. 30, No. 4, 4, 2023, p. 37-48.

Research output: Contribution to journal › Article › peer-review

Harvard

Матвеева, ИИ & Хмиль, АВ 2023, 'Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms', Mathematical Notes of NEFU, vol. 30, no. 4, 4, pp. 37-48. https://doi.org/10.25587/2411-9326-2023-4-37-48

APA

Матвеева, И. И., & Хмиль, А. В. (2023). Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms. Mathematical Notes of NEFU, 30(4), 37-48. [4]. https://doi.org/10.25587/2411-9326-2023-4-37-48

Vancouver

Матвеева ИИ, Хмиль АВ. Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms. Mathematical Notes of NEFU. 2023;30(4):37-48. 4. doi: 10.25587/2411-9326-2023-4-37-48

Author

Матвеева, Инесса Изотовна ; Хмиль, Арсений Владимирович. / Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms. In: Mathematical Notes of NEFU. 2023 ; Vol. 30, No. 4. pp. 37-48.

BibTeX

@article{d81cfd4eda8c404eb3b9538ec2ec315b,
title = "Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms",
abstract = "We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of solutions at infinity are obtained.",
author = "Матвеева, {Инесса Изотовна} and Хмиль, {Арсений Владимирович}",
note = "Работа выполнена в рамках государственного задания Института математики им. С.Л. Соболева СО РАН (проект No FWNF-2022-0008). Публикация для корректировки.",
year = "2023",
doi = "10.25587/2411-9326-2023-4-37-48",
language = "English",
volume = "30",
pages = "37--48",
journal = "Математические заметки СВФУ",
issn = "2411-9326",
publisher = "M. K. Ammosov North-Eastern Federal University",
number = "4",

}

RIS

TY - JOUR

T1 - Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms

AU - Матвеева, Инесса Изотовна

AU - Хмиль, Арсений Владимирович

N1 - Работа выполнена в рамках государственного задания Института математики им. С.Л. Соболева СО РАН (проект No FWNF-2022-0008). Публикация для корректировки.

PY - 2023

Y1 - 2023

N2 - We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of solutions at infinity are obtained.

AB - We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of solutions at infinity are obtained.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85184202297&origin=inward&txGid=02aa1e8d5a615c000ae54cfc8cc51e3e

U2 - 10.25587/2411-9326-2023-4-37-48

DO - 10.25587/2411-9326-2023-4-37-48

M3 - Article

VL - 30

SP - 37

EP - 48

JO - Математические заметки СВФУ

JF - Математические заметки СВФУ

SN - 2411-9326

IS - 4

M1 - 4

ER -

ID: 59664407