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dc.contributor.authorPhilos, C. G.en
dc.contributor.authorPurnaras, I. K.en
dc.contributor.authorTsamatos, P. C.en
dc.date.accessioned2015-11-24T17:22:10Z-
dc.date.available2015-11-24T17:22:10Z-
dc.identifier.issn0362-546X-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12572-
dc.rightsDefault Licence-
dc.subjectnonlinear differential equationen
dc.subjectasymptotic behavioren
dc.subjectasymptotic propertiesen
dc.subjectasymptotic expansionsen
dc.subjectasymptotic to polynomials solutionsen
dc.subjectintegrable coefficientsen
dc.subject2nd orderen
dc.subjectnonoscillatory solutionsen
dc.subjectdeviating argumentsen
dc.subjectpositive solutionsen
dc.subjectglobal existenceen
dc.subjectbehavioren
dc.subject2nd-orderen
dc.titleAsymptotic to polynomials solutions for nonlinear differential equationsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDoi 10.1016/J.Na.2004.08.011-
heal.identifier.secondary<Go to ISI>://000225181100010-
heal.identifier.secondaryhttp://ac.els-cdn.com/S0362546X04003232/1-s2.0-S0362546X04003232-main.pdf?_tid=3849cb80-cf38-11e2-a2a0-00000aacb35d&acdnat=1370585294_2a8dbf1496dc29d00367943ea56f017f-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2004-
heal.abstractThis article is concerned with solutions that behave asymptotically like polynomials for nth order (n > 1) nonlinear ordinary differential equations. For each given integer m with 1 less than or equal to m less than or equal to n - 1, sufficient conditions are presented in order that, for any real polynomial of degree at most m, there exists a solution which is asymptotic at infinity to this polynomial. Conditions are also given, which are sufficient for every solution to be asymptotic at infinity to a real polynomial of degree at most n - 1. The application of the results obtained to the special case of second order nonlinear differential equations leads to improved versions of the ones contained in the recent paper by Lipovan [Glasg. Math. J. 45 (2003) 179] and of other related results existing in the literature. (C) 2004 Elsevier Ltd. All tights reserved.en
heal.publisherElsevieren
heal.journalNameNonlinear Analysis-Theory Methods & Applicationsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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