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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122, Pages 187–199
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-187-199 (Mi vtamu69) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On asymptotic behavior of the fundamental solution and the Cauchy function for neutral differential equations

A. S. Balandin

Perm National Research Polytechnic University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-122-187-199
Abstract: We consider a linear autonomous neutral functional differential equation. We obtain formulas relating the fundamental solution and the Cauchy function for this equation. On the basis of the formulas the asymptotic behavior of solutions of the equation is studied.
Keywords: functional differential equation, neutral equation, the fundamental solution, the Cauchy function, asymptotic behavior.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00928
The work is partially supported by the Russian Fund for Basic Research (project № 18-01-00928).
Received: 19.03.2018
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. S. Balandin, “On asymptotic behavior of the fundamental solution and the Cauchy function for neutral differential equations”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 187–199
Citation in format AMSBIB
\Bibitem{Bal18}
\by A.~S.~Balandin
\paper On asymptotic behavior of the fundamental solution and the Cauchy function for neutral differential equations
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 122
\pages 187--199
\mathnet{http://mi.mathnet.ru/vtamu69}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-122-187-199}
\elib{https://elibrary.ru/item.asp?id=35213526}
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