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Properties of Solutions to Systems of Difference Equations withPeriodic Coefficients Full article

Journal Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126
Output data Year: 2025, Volume: 35, Number: 4, Pages: 287-304 Pages count : 18 DOI: 10.1134/s1055134425040029
Tags system of difference equations, periodic coefficients, system of discrete Lyapunov equations, exponential dichotomy criterion, Riesz projector
Authors Demidenko G.V. 1,2 , Bondar A.A. 2 , Ganzhaeva M.Sh. 2
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2 Novosibirsk State University, Novosibirsk, 630090, Russia

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0008

Abstract: In the present article, we consider systems of linear difference equations with periodic coefficients such that the spectrum of the monodromy matrix and the unit circle are disjoint. We find bounded solutions to such systems. For these solutions, we prove uniqueness theorems, obtain formulas, and estimate the norm. In certain partial cases, the estimates coincide with Kreı˘n’s inequalities.
Cite: Demidenko G.V. , Bondar A.A. , Ganzhaeva M.S.
Properties of Solutions to Systems of Difference Equations withPeriodic Coefficients
Siberian Advances in Mathematics. 2025. V.35. N4. P.287-304. DOI: 10.1134/s1055134425040029 Scopus OpenAlex
Original: Демиденко Г.В. , Бондарь А.А. , Ганжаева М.Ш.К.
Свойства решений систем разностных уравнений с периодическими коэффициентами
Математические труды. 2025. Т.28. №3. С.19-49. DOI: 10.25205/1560-750X-2025-28-3-19-49 РИНЦ OpenAlex
Dates:
Submitted: Jun 10, 2025
Accepted: Sep 24, 2025
Published print: Dec 22, 2025
Published online: Dec 22, 2025
Identifiers:
Scopus: 2-s2.0-105025413883
OpenAlex: W7116764934
Citing: Пока нет цитирований
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