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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 538–552 (Mi smj986)  
This article is cited in 30 scientific papers (total in 30 papers)

On differential equations with retarded argument

G. V. Demidenkoa, V. A. Likhoshvaib

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences
Full-text PDF (203 kB) Citations (30)
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Abstract: We study the limit properties of solutions to one class of systems of differential equations as the number of equations and some parameters tend to infinity. We establish a close connection between solutions to these systems and differential equations with retarded argument. Our convergence theorems provide a new method for approximation of solutions to nonlinear differential equations with retarded argument.
Keywords: systems with infinitely many ordinary differential equations, differential equation with retarded argument.
Received: 16.02.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 417–430
DOI: https://doi.org/10.1007/s11202-005-0045-7
Bibliographic databases:
UDC: 517.91, 517.929
Language: Russian
Citation: G. V. Demidenko, V. A. Likhoshvai, “On differential equations with retarded argument”, Sibirsk. Mat. Zh., 46:3 (2005), 538–552; Siberian Math. J., 46:3 (2005), 417–430
Citation in format AMSBIB
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\by G.~V.~Demidenko, V.~A.~Likhoshvai
\paper On differential equations with retarded argument
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 3
\pages 538--552
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2164559}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 417--430
\crossref{https://doi.org/10.1007/s11202-005-0045-7}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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