Global existence of solutions for a class of nonlinear differential equations

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dc.contributor.authorMustafa, OG
dc.contributor.authorRogovchenko, YV
dc.date.accessioned2026-02-06T18:43:20Z
dc.date.issued2003
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractBy making use of a special Lyapunov-type function and applying the comparison method due to Conti, we prove global existence of solutions for a general class of nonlinear second-order differential equations that includes, in particular, van der Pol, Rayleigh, and Lienard equations, widely encountered in applications. Relevant examples are discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.
dc.identifier.doi10.1016/S0893-9659(03)00078-8
dc.identifier.endpage758
dc.identifier.issn0893-9659
dc.identifier.issue5
dc.identifier.orcid0000-0002-6463-741X
dc.identifier.scopus2-s2.0-84867927042
dc.identifier.scopusqualityQ1
dc.identifier.startpage753
dc.identifier.urihttps://doi.org/10.1016/S0893-9659(03)00078-8
dc.identifier.urihttps://hdl.handle.net/11129/13571
dc.identifier.volume16
dc.identifier.wosWOS:000183643700022
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofApplied Mathematics Letters
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectglobal existence
dc.subjectgeneralized Lienard system
dc.subjectLyapunov-type function
dc.subjectcomparison method
dc.titleGlobal existence of solutions for a class of nonlinear differential equations
dc.typeArticle

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