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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 650–665 (Mi smj2560)  
This article is cited in 2 scientific papers (total in 2 papers)

Behavior at infinity of a solution to a matrix differential-difference equation

M. S. Sgibnev

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (362 kB) Citations (2)
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Abstract: We obtain an asymptotic expansion for a solution to a nonhomogeneous retarded- or neutral-type differential-difference equation. The case of unbounded delays is considered. The influence is accounted for the roots of the characteristic equation. We establish the exact asymptotics for the remainder depending on the asymptotic properties of the free matrix term of the equation.
Keywords: matrix differential-difference equation, retarded-type equation, neutral-type equation, unbounded delay, asymptotic behavior, characteristic equation.
Received: 18.06.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 3, Pages 530–543
DOI: https://doi.org/10.1134/S0037446614030148
Bibliographic databases:
Document Type: Article
UDC: 517.929.8
Language: Russian
Citation: M. S. Sgibnev, “Behavior at infinity of a solution to a matrix differential-difference equation”, Sibirsk. Mat. Zh., 55:3 (2014), 650–665; Siberian Math. J., 55:3 (2014), 530–543
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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