New Results on the Quasilinearization Method for Time Scales

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dc.contributor.authorCetin, Sahap
dc.contributor.authorYilmaz, Yalcin
dc.contributor.authorYakar, Coskun
dc.date.accessioned2025-10-29T11:08:49Z
dc.date.issued2024
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractWe have developed the generalized quasilinearization method (QM) for an initial value problem (IVP) of dynamic equations on time scales by using comparison theorems with a coupled lower solution (LS) and upper solution (US) of the natural type. Under some conditions, we observed that the solutions converged to the unique solution of the problem uniformly and monotonically, and the rate of convergence was investigated.
dc.description.sponsorshipTUBITAK (The scientific and Technological Research Council of Turkiye)
dc.description.sponsorshipThe first author would like to thank TUBITAK (The scientific and Technological Research Council of Turkiye) for their financial support during his PhD studies.
dc.identifier.doi10.3390/math12142207
dc.identifier.issn2227-7390
dc.identifier.issue14
dc.identifier.scopus2-s2.0-85199881657
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math12142207
dc.identifier.urihttps://hdl.handle.net/20.500.14854/5540
dc.identifier.volume12
dc.identifier.wosWOS:001277240800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectquasilinearization
dc.subjectquadratic convergence
dc.subjectweak convergence
dc.subjectextremal solutions
dc.subjecttime scale
dc.titleNew Results on the Quasilinearization Method for Time Scales
dc.typeArticle

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