The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations-2

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dc.contributor.authorAslanov, Afgan
dc.date.accessioned2025-03-26T13:52:51Z
dc.date.available2025-03-26T13:52:51Z
dc.date.issued2020
dc.departmentİstanbul Esenyurt Üniversitesi
dc.description.abstractWe consider the singular initial value problem for the second order differential equation. We interested in the existence of positive solutions and proved an easily applicable theorem on the existence of positive solutions to initial-value problems for second-order nonlinear singular differential equations. The previously established result on the existence of positive solution by Agarwal and O'Regan is not easy for the applications due to very complex definition of a new function and their properties in the statement of their theorem. We used the Lebesgue dominated convergence theorem and the Schauder--Tychonoff theorem in the proof of the main result. The main result can be easily applied for the singular and regular type of problems.
dc.identifier.doi10.33434/cams.774450
dc.identifier.doihttps://doi.org/10.33434/cams.774450
dc.identifier.endpage207
dc.identifier.issn2651-4001
dc.identifier.issue4
dc.identifier.startpage203
dc.identifier.urihttps://hdl.handle.net/20.500.14704/317
dc.identifier.volume3
dc.institutionauthorAslanov, Afgan
dc.language.isoen
dc.publisherEmrah Evren KARA
dc.relation.ispartofCommunications in Advanced Mathematical Sciences
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250326
dc.subjectEmden-Fowler equation
dc.subjectSecond order equations
dc.subjectExistence
dc.subjectLane-Emden equation
dc.subjectFixed points
dc.titleThe Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations-2
dc.typeReview Article

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