Existence of Solutions of the Dynamic Cauchy Problem in Banach Spaces
| dc.contributor.author | Cichon,M. | |
| dc.contributor.author | Kubiaczyk,I. | |
| dc.contributor.author | Sikorska-Nowak,A. | |
| dc.contributor.author | Yantir,A. | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:43:54Z | |
| dc.date.available | 2024-07-05T15:43:54Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In 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.doi | 10.1515/dema-2013-0401 | |
| dc.identifier.issn | 0420-1213 | |
| dc.identifier.scopus | 2-s2.0-84864862233 | |
| dc.identifier.uri | https://doi.org/10.1515/dema-2013-0401 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3690 | |
| dc.language.iso | en | en_US |
| dc.publisher | Warsaw University | en_US |
| dc.relation.ispartof | Demonstratio Mathematica | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Banach space | en_US |
| dc.subject | Carathéodory solutions | en_US |
| dc.subject | Cauchy dynamic problem | en_US |
| dc.subject | Measure of noncompactness | en_US |
| dc.subject | Time scales | en_US |
| dc.title | Existence of Solutions of the Dynamic Cauchy Problem in Banach Spaces | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Yantır, Ahmet | |
| gdc.author.scopusid | 7003608372 | |
| gdc.author.scopusid | 56070850000 | |
| gdc.author.scopusid | 21741260800 | |
| gdc.author.scopusid | 8943676000 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Cichon 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, Turkey | en_US |
| gdc.description.endpage | 573 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 561 | en_US |
| gdc.description.volume | 45 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.scopus.citedcount | 11 | |
| relation.isAuthorOfPublication | 83a26d96-d423-4ee7-b70a-de90fc96e0bb | |
| relation.isAuthorOfPublication.latestForDiscovery | 83a26d96-d423-4ee7-b70a-de90fc96e0bb | |
| relation.isOrgUnitOfPublication | 31ddeb89-24da-4427-917a-250e710b969c | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 31ddeb89-24da-4427-917a-250e710b969c |