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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 5, Pages 995–1012
DOI: https://doi.org/10.33048/smzh.2021.62.504
(Mi smj7610)
 

This article is cited in 1 scientific paper (total in 1 paper)

On one class of systems of differential equations with periodic coefficients in linear terms

G. V. Demidenko

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (396 kB) Citations (1)
References:
Abstract: Under consideration is some class of systems of nonlinear differential equations. The exponentially dichotomous linear part of the systems is assumed to have periodic coefficients. Using the author's criterion of exponential dichotomy, we establish the conditions of existence of periodic solutions and prove stability of the solutions under small perturbations of coefficients in the linear part and nonlinear terms.
Keywords: periodic solution, exponential dichotomy, projection, Lyapunov differential equation, Green matrix, Sobolev space.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10086
The author was supported by the Russian Foundation for Basic Research (Grant 18–29–10086).
Received: 01.06.2021
Revised: 31.07.2021
Accepted: 11.08.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 5, Pages 805–821
DOI: https://doi.org/10.1134/S0037446621050049
Bibliographic databases:
Document Type: Article
UDC: 517.925.51
MSC: 35R30
Language: Russian
Citation: G. V. Demidenko, “On one class of systems of differential equations with periodic coefficients in linear terms”, Sibirsk. Mat. Zh., 62:5 (2021), 995–1012; Siberian Math. J., 62:5 (2021), 805–821
Citation in format AMSBIB
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :63
    References:28
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