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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1900–1920
DOI: https://doi.org/10.33048/semi.2020.17.128 (Mi semr1322) 		 
Differentical equations, dynamical systems and optimal control

On oscillation of solutions for linear autonomous functional differential equations with two delays

A. S. Balandin, T. L. Sabatulina

Perm National Research Polytechnic University, 29, Komsomolskiy ave., Perm, 614990, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.128
Abstract: We present necessary and sufficient conditions for the oscillation of solutions to linear autonomous functional differential equations with two delays. The conditions are proposed in both the analytic and geometric forms.
Keywords: functional differential equation, delay, concentrated delay, distributed delay, oscillation, effective conditions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSNM-2020-0028
Russian Foundation for Basic Research 18-01-00928
Received July 3, 2020, published November 20, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K06,34K11
Language: Russian
Citation: A. S. Balandin, T. L. Sabatulina, “On oscillation of solutions for linear autonomous functional differential equations with two delays”, Sib. Èlektron. Mat. Izv., 17 (2020), 1900–1920
Citation in format AMSBIB
\Bibitem{BalSab20}
\by A.~S.~Balandin, T.~L.~Sabatulina
\paper On oscillation of solutions for linear autonomous functional differential equations with two delays
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1900--1920
\mathnet{http://mi.mathnet.ru/semr1322}
\crossref{https://doi.org/10.33048/semi.2020.17.128}
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