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EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS. / Demidenko, G. V.; Bondar, A. A.; Ganzhaeva, M. Sh.

In: Chelyabinsk Physical and Mathematical Journal, Vol. 9, No. 4, 2024, p. 561-572.

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

Harvard

Demidenko, GV, Bondar, AA & Ganzhaeva, MS 2024, 'EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS', Chelyabinsk Physical and Mathematical Journal, vol. 9, no. 4, pp. 561-572. https://doi.org/10.47475/2500-0101-2024-9-4-561-572

APA

Demidenko, G. V., Bondar, A. A., & Ganzhaeva, M. S. (2024). EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS. Chelyabinsk Physical and Mathematical Journal, 9(4), 561-572. https://doi.org/10.47475/2500-0101-2024-9-4-561-572

Vancouver

Demidenko GV, Bondar AA, Ganzhaeva MS. EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS. Chelyabinsk Physical and Mathematical Journal. 2024;9(4):561-572. doi: 10.47475/2500-0101-2024-9-4-561-572

Author

Demidenko, G. V. ; Bondar, A. A. ; Ganzhaeva, M. Sh. / EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS. In: Chelyabinsk Physical and Mathematical Journal. 2024 ; Vol. 9, No. 4. pp. 561-572.

BibTeX

@article{c0b2507f28be467fb525ac91e0895ae6,
title = "EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS",
abstract = "The problem of exponential dichotomy for systems of difference equations with periodic coefficients is considered. Based on the previously obtained exponential dichotomy criterion, the question of permissible perturbations on the coefficient matrix, under which the exponential dichotomy persists, is investigated.",
keywords = "exponential dichotomy criterion, perturbation of coefficients, system of difference equations with periodic coefficients, system of discrete Lyapunov equations",
author = "Demidenko, {G. V.} and Bondar, {A. A.} and Ganzhaeva, {M. Sh}",
note = "The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008).",
year = "2024",
doi = "10.47475/2500-0101-2024-9-4-561-572",
language = "English",
volume = "9",
pages = "561--572",
journal = "Chelyabinsk Physical and Mathematical Journal",
issn = "2500-0101",
publisher = "Chelyabinsk State University",
number = "4",

}

RIS

TY - JOUR

T1 - EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS

AU - Demidenko, G. V.

AU - Bondar, A. A.

AU - Ganzhaeva, M. Sh

N1 - The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008).

PY - 2024

Y1 - 2024

N2 - The problem of exponential dichotomy for systems of difference equations with periodic coefficients is considered. Based on the previously obtained exponential dichotomy criterion, the question of permissible perturbations on the coefficient matrix, under which the exponential dichotomy persists, is investigated.

AB - The problem of exponential dichotomy for systems of difference equations with periodic coefficients is considered. Based on the previously obtained exponential dichotomy criterion, the question of permissible perturbations on the coefficient matrix, under which the exponential dichotomy persists, is investigated.

KW - exponential dichotomy criterion

KW - perturbation of coefficients

KW - system of difference equations with periodic coefficients

KW - system of discrete Lyapunov equations

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85208466197&origin=inward&txGid=878dadd0e66a52f73cf8c2c9f968148e

UR - https://www.mendeley.com/catalogue/a00a8b08-52ee-3798-a5b3-3fcc34525118/

U2 - 10.47475/2500-0101-2024-9-4-561-572

DO - 10.47475/2500-0101-2024-9-4-561-572

M3 - Article

VL - 9

SP - 561

EP - 572

JO - Chelyabinsk Physical and Mathematical Journal

JF - Chelyabinsk Physical and Mathematical Journal

SN - 2500-0101

IS - 4

ER -

ID: 61306299