On the reduction of non-linear oscillator-equations to Abel forms

dc.contributor.author	Μαρκάκης, Μιχαήλ Π.	el
dc.date.accessioned	2015-06-12T06:26:03Z
dc.date.available	2015-06-12T06:26:03Z
dc.date.issued	2015-06-12
dc.identifier.uri	http://hdl.handle.net/11400/15787
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.sciencedirect.com/science/article/pii/S0096300303009342#	el
dc.subject	Non-linear ODEs
dc.subject	Μη-γραμμική Σ.Δ.Ε.
dc.subject	Non-linear oscillators
dc.subject	Μη-γραμμική ταλαντωτές
dc.title	On the reduction of non-linear oscillator-equations to Abel forms	en
heal.type	journalArticle
heal.classification	Computer science
heal.classification	Applied mathematics
heal.classification	Πληροφορική
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C00750
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.classificationURI	N/A-Πληροφορική
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.identifier.secondary	doi:10.1016/j.amc.2003.08.038
heal.language	en
heal.access	campus
heal.publicationDate	2004-10-05
heal.bibliographicCitation	Markakis, M. (2004). On the reduction of non-linear oscillator-equations to Abel forms. "Applied Mathematics and Computation", 157(2), 5 October 2004. pp. 357-368. Available from: http://www.sciencedirect.com/science/article/pii/S0096300303009342#. [Accessed 26/11/2003]	en
heal.abstract	The particular ordinary differential equations (ODEs) governing some specific non-linear oscillators are reduced to equivalent Abel equations by means of a series of functional transformations. These equivalent equations do not accept analytical solutions in terms of tabulated functions. So, the results of this work combined with the non-existence of exact solutions in the literature lead to the speculation that we need to construct new analytical functions in order to confront particular non-linearities in mechanical oscillations and physical problems generally.	en
heal.journalName	Applied Mathematics and Computation	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true