EXISTENCE AND UNIQUENESS RESULTS FOR ORDINARY DIFFERENTIAL EQUATIONS

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dc.contributor.authorAslanov, Afgan
dc.date.accessioned2024-03-13T10:33:01Z
dc.date.available2024-03-13T10:33:01Z
dc.date.issued2009
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this paper we give some new results concerning solvability of first order singular problems. We study mainly the differential equation x' = f(t, x). We prove that the existence theorem of Caratheodory remains true if f is not defined at the given initial point and satisfies more flexible conditions. This theorem allows us to develop theorems on the existence and uniqueness of the solution of systems of differential equations and high order differential equations. We introduce a more general form of the initial value problems and try to develop this idea.en_US
dc.identifier.doi10.1216/RMJ-2009-39-6-1809
dc.identifier.endpage1835en_US
dc.identifier.issn0035-7596
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-76549104650en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1809en_US
dc.identifier.urihttps://doi.org/10.1216/RMJ-2009-39-6-1809
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3734
dc.identifier.volume39en_US
dc.identifier.wosWOS:000273523500003en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRocky Mt Math Consortiumen_US
dc.relation.ispartofRocky Mountain Journal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectInitial value problemen_US
dc.subjectCaratheodory's theoremen_US
dc.subjectsingularityen_US
dc.titleEXISTENCE AND UNIQUENESS RESULTS FOR ORDINARY DIFFERENTIAL EQUATIONSen_US
dc.typeArticleen_US

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