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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 6, Pages 1260–1270
DOI: https://doi.org/10.33048/smzh.2019.60.606
(Mi smj3147)
 

A method of constructing almost periodic solutions to a system of neutral type with linear delay

B. G. Grebenshchikov

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
References:
Abstract: Under consideration is the possibility of constructing an almost periodic solution for one inhomogeneous system of linear differential equations with delay that is a linear function of the argument (time) under some assumptions about the right-hand side of the system. This solution is proved to be asymptotically stable. Also, we study the existence of an almost periodic solution to another system without neutral terms; in this event the solution is stable.
Received: 04.07.2018
Revised: 30.08.2018
Accepted: 19.12.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 6, Pages 984–992
DOI: https://doi.org/10.1134/S0037446619060065
Bibliographic databases:
Document Type: Article
UDC: 519.17+512.54
MSC: 35R30
Language: Russian
Citation: B. G. Grebenshchikov, “A method of constructing almost periodic solutions to a system of neutral type with linear delay”, Sibirsk. Mat. Zh., 60:6 (2019), 1260–1270; Siberian Math. J., 60:6 (2019), 984–992
Citation in format AMSBIB
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\paper A method of constructing almost periodic solutions to a system of neutral type with linear delay
\jour Sibirsk. Mat. Zh.
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\vol 60
\issue 6
\pages 1260--1270
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\crossref{https://doi.org/10.33048/smzh.2019.60.606}
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\transl
\jour Siberian Math. J.
\yr 2019
\vol 60
\issue 6
\pages 984--992
\crossref{https://doi.org/10.1134/S0037446619060065}
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    Сибирский математический журнал Siberian Mathematical Journal
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