Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs (Part I: Abel's equations)

Panayotounakos, DE

dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:22:19Z
dc.date.available	2014-03-01T01:22:19Z
dc.date.issued	2005	en
dc.identifier.issn	0893-9659	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16530
dc.subject	Abel's equations	en
dc.subject	Exact analytic solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Computational complexity	en
dc.subject.other	Functions	en
dc.subject.other	Integration	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Abel's equation	en
dc.subject.other	Exact analytic solution	en
dc.subject.other	Mathematical physics	en
dc.subject.other	Nonlinear mechanics	en
dc.subject.other	Ordinary differential equations	en
dc.title	Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs (Part I: Abel's equations)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.aml.2004.09.004	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.aml.2004.09.004	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We provide a mathematical technique leading to the construction of exact analytic solutions of the classes of Abel's nonlinear ordinary differential equations (ODEs) of the second kind, as well as of the restricted form of the Abel nonlinear ODE of the first kind. (c) 2004 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Applied Mathematics Letters	en
dc.identifier.doi	10.1016/j.aml.2004.09.004	en
dc.identifier.isi	ISI:000227567000005	en
dc.identifier.volume	18	en
dc.identifier.issue	2	en
dc.identifier.spage	155	en
dc.identifier.epage	162	en