Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients

The object of this paper is to study the problem of constructing an approximate solution to the first order weakly nonlinear ordinary differential equation with deviated argument and slowly varying coefficients. Based on asymptotic techniques in nonlinear mechanics an algorithm for asymptotic inte...

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Datum:2004
Hauptverfasser: Mitropolsky, Y.A., Matarazzo, G., Pompei, A., Samoilenko, V. H.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2004
Schriftenreihe:Нелінійні коливання
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/177026
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients / Y. A. Mitropol’skiy, G. Matarazzo, A. Pompei, V. H. Samoylenko // Нелінійні коливання. — 2004. — Т. 7, № 4. — С. 475-486 . — Бібліогр.: 16 назв. — рос.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung:The object of this paper is to study the problem of constructing an approximate solution to the first order weakly nonlinear ordinary differential equation with deviated argument and slowly varying coefficients. Based on asymptotic techniques in nonlinear mechanics an algorithm for asymptotic integration of the differential equation under consideration is given.