Existence of Solutions of the Dynamic Cauchy Problem in Banach Spaces

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dc.authorscopusid7003608372
dc.authorscopusid56070850000
dc.authorscopusid21741260800
dc.authorscopusid8943676000
dc.contributor.authorCichon,M.
dc.contributor.authorKubiaczyk,I.
dc.contributor.authorSikorska-Nowak,A.
dc.contributor.authorYantir,A.
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:43:54Z
dc.date.available2024-07-05T15:43:54Z
dc.date.issued2012
dc.departmentAtılım Universityen_US
dc.department-tempCichon M., Faculty Of Mathematics And Computer Science, Adam Mickiewicz University, 61-614 Poznan, ul. Umultowska 87, Poland; Kubiaczyk I., Faculty Of Mathematics And Computer Science, Adam Mickiewicz University, 61-614 Poznan, ul. Umultowska 87, Poland; Sikorska-Nowak A., Faculty Of Mathematics And Computer Science, Adam Mickiewicz University, 61-614 Poznan, ul. Umultowska 87, Poland; Yantir A., Department Of Mathematics, Atilim University, 06836 Incek-Gölbasi, Ankara, Turkeyen_US
dc.description.abstractIn this paper we obtain the existence of solutions and Carathéodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales xδ(t) = f(t, x(t)), x(0) = x0, t 2 Ia, where f is continuous or f satisfies Carathéodory conditions and some conditions expressed in terms of measures of noncompactness. The Mönch fixed point theorem is used to prove the main result, which extends these obtained for real valued functions.en_US
dc.identifier.citationcount8
dc.identifier.doi10.1515/dema-2013-0401
dc.identifier.endpage573en_US
dc.identifier.issn0420-1213
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84864862233
dc.identifier.startpage561en_US
dc.identifier.urihttps://doi.org/10.1515/dema-2013-0401
dc.identifier.urihttps://hdl.handle.net/20.500.14411/3690
dc.identifier.volume45en_US
dc.identifier.wosqualityQ1
dc.institutionauthorYantır, Ahmet
dc.language.isoenen_US
dc.publisherWarsaw Universityen_US
dc.relation.ispartofDemonstratio Mathematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.scopus.citedbyCount11
dc.subjectBanach spaceen_US
dc.subjectCarathéodory solutionsen_US
dc.subjectCauchy dynamic problemen_US
dc.subjectMeasure of noncompactnessen_US
dc.subjectTime scalesen_US
dc.titleExistence of Solutions of the Dynamic Cauchy Problem in Banach Spacesen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery83a26d96-d423-4ee7-b70a-de90fc96e0bb
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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