Solutions of Nonlinear Differential Equations

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dc.creatorBedziuk, Nadzeya
dc.creatorYablonski, Aleh
dc.date2009-04-29
dc.date.accessioned2026-07-07T13:09:59Z
dc.date.available2026-07-07T13:09:59Z
dc.descriptionWe consider an ordinary nonlinear differential equation with generalized coefficients as an equation in differentials in algebra of new generalized functions. Then the solution of such equation will be a new generalized function. In the article we formulate necessary and sufficient conditions when the solution of the given equation in algebra of new generalized functions is associated with an ordinary function. Moreover the class of all possible associated functions was described.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0904.4678
dc.identifierhttp://arxiv.org/abs/0904.4678
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228923
dc.subjectClassical Analysis and ODEs
dc.subject34A36 (Primary) 46F30 (Secondary)
dc.titleSolutions of Nonlinear Differential Equations
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