Exact Asymptotic Behavior of the Solution of a Matrix Difference Equation Full article
| Journal |
Journal of Dynamics and Differential Equations
ISSN: 1040-7294 |
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| Output data | Year: 2022, Volume: 34, Number: 2, Pages: 1173-1186 Pages count : 14 DOI: 10.1007/s10884-020-09923-7 | ||
| Tags | Asymptotic behavior; Banach algebra; Characteristic equation; Matrix difference equation; Submultiplicative function; Unbounded delay | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | 0314-2019-0005 |
Abstract:
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.
Cite:
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
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
Dates:
| Submitted: | Jun 2, 2020 |
| Accepted: | Dec 12, 2020 |
| Published online: | Jan 5, 2021 |
| Published print: | Jun 7, 2022 |
Identifiers:
| Web of science: | WOS:000605159300004 |
| Scopus: | 2-s2.0-85098991830 |
| Elibrary: | 45024035 |
| OpenAlex: | W3118629507 |
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