Estimates for domains of local invertibility of diffeomorphisms

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dc.contributor.authorMustafa, Octavian G.
dc.contributor.authorRogovchenko, Yuri V.
dc.date.accessioned2026-02-06T18:22:17Z
dc.date.issued2007
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractUsing a novel Wintner-type formulation of the classical Peano's existence theorem [Math. Ann. 37 (1890), 182-228], we enhance Wazewski's result on invertibility of maps defined on closed balls [Ann. Soc. Pol. Math. 20 ( 1947), 81-125] securing the size of the domain of invertibility that agrees with the bounds derived by John [Comm. Pure Appl. Math. 21 ( 1968), 77-110] and Sotomayor [Z. Angew. Math. Phys. 41 (1990), 306-310].
dc.identifier.endpage75
dc.identifier.issn0002-9939
dc.identifier.issn1088-6826
dc.identifier.issue1
dc.identifier.orcid0009-0003-3265-173X
dc.identifier.orcid0000-0002-6463-741X
dc.identifier.scopus2-s2.0-77950646135
dc.identifier.scopusqualityQ2
dc.identifier.startpage69
dc.identifier.urihttps://hdl.handle.net/11129/9720
dc.identifier.volume135
dc.identifier.wosWOS:000240542200010
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Mathematical Soc
dc.relation.ispartofProceedings of the American Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectnonlinear differential equations
dc.subjectPeano's existence theorem
dc.subjectregularity
dc.subjectdiffeomorphism
dc.subjectlocal invertibility
dc.subjectWazewski's theorem
dc.subjectHadamard-Levy-Plastock condition
dc.titleEstimates for domains of local invertibility of diffeomorphisms
dc.typeArticle

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