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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/vtamu69
https://www.mathnet.ru/eng/vtamu/v23/i122/p187
This publication is cited in the following 1 articles:
A. S. Balandin, V. V. Malygina, “Asymptotic Properties of Solutions to Differential Equations of Neutral
Type”, Sib. Adv. Math., 31:2 (2021), 79
Citation in format AMSBIB
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