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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 528–546 (Mi smj2104)  
This article is cited in 16 scientific papers (total in 16 papers)

On a method of approximation of solutions to delay differential equations

G. V. Demidenkoab, I. A. Mel'nikab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
Full-text PDF (353 kB) Citations (16)
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Abstract: Connections between solutions to a class of systems of ordinary differential equations of a large dimension and delay equations are studied. A new method is justified for approximation of solutions to delay equations.
Keywords: delay equation, limit theorems, generalized solution, Stirling inequality, Haar functions.
Received: 05.03.2010
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 419–434
DOI: https://doi.org/10.1007/s11202-010-0043-2
Bibliographic databases:
Document Type: Article
UDC: 517.925.5+517.929
Language: Russian
Citation: G. V. Demidenko, I. A. Mel'nik, “On a method of approximation of solutions to delay differential equations”, Sibirsk. Mat. Zh., 51:3 (2010), 528–546; Siberian Math. J., 51:3 (2010), 419–434
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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