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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 6, Pages 1413–1432 (Mi smj2393)  
This article is cited in 4 scientific papers (total in 4 papers)

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

M. S. Sgibnev

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (376 kB) Citations (4)
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Abstract: We obtain an asymptotic expansion for a solution to an $m$th order nonhomogeneous differential-difference equation of retarded or neutral type. Account is taken of the influence of the roots of the characteristic equation. The exact asymptotics of the remainder is established depending on the asymptotic properties of the free term of the equation.
Keywords: differential-difference equations, retarded-type equation, neutral-type equation, asymptotic behavior, characteristic equation.
Received: 24.05.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 6, Pages 1139–1154
DOI: https://doi.org/10.1134/S0037446612060183
Bibliographic databases:
Document Type: Article
UDC: 517.929.8
Language: Russian
Citation: M. S. Sgibnev, “Behavior at infinity of a solution to a differential-difference equation”, Sibirsk. Mat. Zh., 53:6 (2012), 1413–1432; Siberian Math. J., 53:6 (2012), 1139–1154
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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