A new approach in the theory of ordinary differential equations with small parameter

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dc.creatorKamenskii, Mikhail
dc.creatorMakarenkov, Oleg
dc.creatorNistri, Paolo
dc.date2007-09-29
dc.date.accessioned2026-07-07T08:33:07Z
dc.date.available2026-07-07T08:33:07Z
dc.descriptionA topological degree based averaging principle has been proposed by J. Mawhin in his PhD thesis [J. Mawhin, Le Probleme des Solutions Periodiques en Mecanique non Lineaire, These de doctorat en sciences, Universite de Liege, 1969]. In the present paper we extend this result for the case when the unperturbed system is nonlinear but possesses a set of T-periodic solutions whose initial conditions constitute a boundary of some open set.
dc.descriptionAppeared in Russian in Doklady of Russian Academy of Sciences, 388 (2003), no. 4, 439-442
dc.identifierhttps://arxiv.org/abs/0710.0057
dc.identifierhttp://arxiv.org/abs/0710.0057
dc.identifierDokl. Math. Sci., 67 (2003) 36-38
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139015
dc.subjectClassical Analysis and ODEs
dc.subject54C40; 14E20; 46E25; 20C20
dc.titleA new approach in the theory of ordinary differential equations with small parameter
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