A boundary value problem on the whole line to second order nonlinear differential equations

dc.contributor.authorPhilos, C. G.en
dc.contributor.authorPurnaras, I. K.en
dc.date.accessioned2015-11-24T17:22:14Z
dc.date.available2015-11-24T17:22:14Z
dc.identifier.issn1072-947X-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12584
dc.rightsDefault Licence-
dc.subjectnonlinear differential equationen
dc.subjectboundary value problem on the whole lineen
dc.subjectexistence of solutionsen
dc.subjectexistence and uniqueness of solutionsen
dc.subjectschauder theoremen
dc.subjectbanach contraction principleen
dc.subjecthalf-lineen
dc.subjectpositive solutionsen
dc.subjectunbounded solutionsen
dc.subjectglobal-solutionsen
dc.subjectexistenceen
dc.subjectsystemsen
dc.titleA boundary value problem on the whole line to second order nonlinear differential equationsen
heal.abstractSecond order nonlinear ordinary differential equations are considered, and a certain boundary value problem on the whole line is studied. Two theorems are obtained as main results. The first theorem is established by the use of the Schauder theorem and concerns the existence of solutions, while the second theorem is concerned with the existence and uniqueness of solutions and is derived by the Banach contraction principle. These two theorems are applied, in particular, to the specific class of second order nonlinear ordinary differential equations of Emden-Fowler type and to the special case of second order linear ordinary differential equations, respectively.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDoi 10.1515/Gmj.2010.014-
heal.identifier.secondary<Go to ISI>://000280455400010-
heal.journalNameGeorgian Mathematical Journalen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2010-
heal.publisherSpringer Verlag (Germany)en
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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