A boundary value problem on the half-line for higher-order nonlinear differential equations

dc.contributor.authorPhilos, C. G.en
dc.date.accessioned2015-11-24T17:22:10Z
dc.date.available2015-11-24T17:22:10Z
dc.identifier.issn0308-2105-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12573
dc.rightsDefault Licence-
dc.subjectprescribed asymptotic-behavioren
dc.subjectpositive solutionsen
dc.subjectglobal-solutionsen
dc.subjectdeviating argumentsen
dc.subjectunbounded solutionsen
dc.subject2nd-orderen
dc.subjectexistenceen
dc.subjectintegrationen
dc.titleA boundary value problem on the half-line for higher-order nonlinear differential equationsen
heal.abstractThis article is devoted to the study of the existence of solutions as well as the existence and uniqueness of solutions to a boundary-value problem oil the half-line for higher-order nonlinear ordinary differential equations. An existence result is obtained by the use of the Schauder-Tikhonov theorem. Furthermore, an existence and uniqueness criterion is established using the Banach contraction principle. These two results are applied, in particular, to the specific class of higher-order nonlinear ordinary differential equations of Emden-Fowler type and to the special case of higher-order linear ordinary differential equations, respectively. Moreover, some (general or specific) examples demonstrating the applicability Of Our results are given.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.secondary<Go to ISI>://000271172400005-
heal.journalNameProceedings of the Royal Society of Edinburgh Section a-Mathematicsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2009-
heal.publisherCambridge University Press (CUP)en
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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