Global solutions of a singular initial value problem to second order nonlinear delay differential equations

dc.contributor.authorAgarwal, R. P.en
dc.contributor.authorPhilos, C. G.en
dc.contributor.authorTsamatos, P. C.en
dc.date.accessioned2015-11-24T17:24:25Z
dc.date.available2015-11-24T17:24:25Z
dc.identifier.issn0895-7177-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12892
dc.rightsDefault Licence-
dc.subjectdelay differential equationen
dc.subjectinitial value problemsen
dc.subjectglobal solutionen
dc.subjectschauder's fixed point theoremen
dc.subjectbanach's contraction principleen
dc.subjectboundary-value-problemsen
dc.subjectexistenceen
dc.titleGlobal solutions of a singular initial value problem to second order nonlinear delay differential equationsen
heal.abstractThe paper is concerned with an initial value problem to second order nonlinear singular delay differential equations. By the use of the Schauder fixed point theorem, a result for the existence of global solutions is derived. Also, via the Banach contraction principle, another result concerning the existence and uniqueness of global solutions is established. Moreover, applications of these results to a particular case of second order nonlinear singular delay differential equations as well as to the special case of second order nonlinear singular ordinary differential equations are presented. Finally, some specific applications to certain equations and two examples are given to demonstrate the applicability of the results of the paper. (c) 2005 Elsevier Ltd. All rights reserved.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDOI 10.1016/j.mcm.2005.12.005-
heal.identifier.secondary<Go to ISI>://000236921700015-
heal.journalNameMathematical and Computer Modellingen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2006-
heal.publisherElsevieren
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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