On the asymptotic behavior of positive solutions to nonlinear second-order differential equations

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dc.authoridAslanov, Afgan/0000-0001-5858-9848
dc.contributor.authorAslanov, Afgan
dc.date.accessioned2025-03-26T17:35:02Z
dc.date.available2025-03-26T17:35:02Z
dc.date.issued2022
dc.departmentİstanbul Esenyurt Üniversitesi
dc.description.abstractWe study the existence of solutions of second-order nonlinear differential equations on half-line. It is shown that the second-order nonlinear differential equation x '' = f (t, x) has a positive solution asymptotic to the function phi(t) = t at infinity and satisfies the initial condition x(0) = 0. Existence of solutions is proven under conditions which are considerably weaker than previously known conditions. An application to semilinear Schrodinger equations is also presented.
dc.identifier.doi10.1007/s00605-021-01630-9
dc.identifier.endpage241
dc.identifier.issn0026-9255
dc.identifier.issn1436-5081
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85115646309
dc.identifier.scopusqualityQ2
dc.identifier.startpage233
dc.identifier.urihttps://doi.org/10.1007/s00605-021-01630-9
dc.identifier.urihttps://hdl.handle.net/20.500.14704/1016
dc.identifier.volume199
dc.identifier.wosWOS:000698529000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAslanov, Afgan
dc.language.isoen
dc.publisherSpringer Wien
dc.relation.ispartofMonatshefte Fur Mathematik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250326
dc.subjectMonotone positive solutions; Second order nonlinear differential equations; Fixed point theory
dc.titleOn the asymptotic behavior of positive solutions to nonlinear second-order differential equations
dc.typeArticle

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