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Exact Asymptotic Behavior of the Solution of a Matrix Difference Equation Научная публикация

Журнал

Journal of Dynamics and Differential Equations
ISSN: 1040-7294

Вых. Данные

Год: 2022, Том: 34, Номер: 2, Страницы: 1173-1186 Страниц : 14 DOI: 10.1007/s10884-020-09923-7

Ключевые слова

Asymptotic behavior; Banach algebra; Characteristic equation; Matrix difference equation; Submultiplicative function; Unbounded delay

Авторы

Sgibnev M.S. ¹

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

0314-2019-0005

An asymptotic expansion of the solution of a nonhomogeneous matrix difference equation of general form is obtained. The case when there is no bound on the differences of the arguments is considered. The effect of the roots of the characteristic equation is taken into account. The asymptotic behavior of the remainder is established depending on the asymptotics of the free term of the equation. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature.

Sgibnev M.S.
Exact Asymptotic Behavior of the Solution of a Matrix Difference Equation
Journal of Dynamics and Differential Equations. 2022. V.34. N2. P.1173-1186. DOI: 10.1007/s10884-020-09923-7 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	2 июн. 2020 г.
Принята к публикации:	12 дек. 2020 г.
Опубликована online:	5 янв. 2021 г.
Опубликована в печати:	7 июн. 2022 г.

Web of science:	WOS:000605159300004
Scopus:	2-s2.0-85098991830
РИНЦ:	45024035
OpenAlex:	W3118629507

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