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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 2, Pages 360–378
DOI: https://doi.org/10.33048/smzh.2022.63.208 (Mi smj7662) 		 
This article is cited in 4 scientific papers (total in 4 papers)

About exact two-sided estimates for stable solutions to autonomous functional differential equations

V. V. Malygina, K. M. Chudinov

Perm National Research Polytechnic University
Full-text PDF (371 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2022.63.208
Abstract: Considering some linear autonomous differential equation with distributed delay that has a positive fundamental solution, we develop a method for obtaining effective exponential stability tests and two-sided estimates of the fundamental solution in the form of two exponential functions with exponents and coefficients determined exactly. A few examples illustrate the use of the method.
Keywords: functional differential equation, aftereffect, fundamental solution, exponential estimate.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSNM-2020-0028
Received: 10.05.2021
Revised: 22.06.2021
Accepted: 10.12.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 2, Pages 299–315
DOI: https://doi.org/10.1134/S0037446622020082
Document Type: Article
UDC: 517.929
MSC: 35R30
Language: Russian
Citation: V. V. Malygina, K. M. Chudinov, “About exact two-sided estimates for stable solutions to autonomous functional differential equations”, Sibirsk. Mat. Zh., 63:2 (2022), 360–378; Siberian Math. J., 63:2 (2022), 299–315
Citation in format AMSBIB
\Bibitem{MalChu22}
\by V.~V.~Malygina, K.~M.~Chudinov
\paper About exact two-sided estimates for stable solutions to autonomous functional differential equations
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 2
\pages 360--378
\mathnet{http://mi.mathnet.ru/smj7662}
\crossref{https://doi.org/10.33048/smzh.2022.63.208}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 2
\pages 299--315
\crossref{https://doi.org/10.1134/S0037446622020082}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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