EXISTENCE OF SOLUTIONS OF THE DYNAMIC CAUCHY PROBLEM IN BANACH SPACES
| dc.contributor.author | Mieczyslaw Cichon | |
| dc.contributor.author | Ireneusz Kubiaczyk | |
| dc.contributor.author | Aneta Sikorska-Nowak | |
| dc.contributor.author | Ahmet Yantir | |
| dc.contributor.author | Yantir, Ahmet | |
| dc.contributor.author | Cichon, Mieczyslaw | |
| dc.contributor.author | Kubiaczyk, Ireneusz | |
| dc.contributor.author | Sikorska-Nowak, Aneta | |
| dc.date | SEP | |
| dc.date.accessioned | 2025-10-06T16:21:50Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In this paper we obtain the existence of solutions and Caratheodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales x(triangle)(t) = f(tx(t)) x(0)=x(o) t is an element of I-a where f is continuous or f satisfies Caratheodory conditions and some conditions expressed in terms of measures of noncompactness. The Manch fixed point theorem is used to prove the main result which extends these obtained for real valued functions. | |
| dc.identifier.issn | 0420-1213 | |
| dc.identifier.issn | 2391-4661 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/7076 | |
| dc.language.iso | English | |
| dc.publisher | DE GRUYTER POLAND SP Z O O | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | DEMONSTRATIO MATHEMATICA | |
| dc.subject | Cauchy dynamic problem, Banach space, measure of non-compactness, Caratheodory solutions, time scales | |
| dc.subject | DIFFERENTIAL-EQUATIONS, DISCRETE EQUATIONS, TIME SCALES | |
| dc.subject | Time Scales | |
| dc.subject | Banach Space | |
| dc.subject | Cauchy Dynamic Problem | |
| dc.subject | Caratheodory Solutions | |
| dc.subject | Measure of Non-Compactness | |
| dc.title | EXISTENCE OF SOLUTIONS OF THE DYNAMIC CAUCHY PROBLEM IN BANACH SPACES | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | Cichoń, Mieczysław/0000-0003-2255-9449 | |
| gdc.author.id | Yantir, Ahmet/0000-0002-4855-1691 | |
| gdc.author.id | Sikorska-Nowak, Aneta/0000-0002-6613-9078 | |
| gdc.author.wosid | Yantir, Ahmet/K-3751-2019 | |
| gdc.author.wosid | Cichoń, Mieczysław/U-9930-2018 | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | ||
| gdc.description.departmenttemp | [Cichon, Mieczyslaw; Kubiaczyk, Ireneusz; Sikorska-Nowak, Aneta] Adam Mickiewicz Univ, Fac Math & Comp Sci, ul Umultowska 87, PL-61614 Poznan, Poland; [Yantir, Ahmet] Yasar Univ, Dept Math, Izmir, Turkey | |
| gdc.description.endpage | 573 | |
| gdc.description.issue | 3 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 561 | |
| gdc.description.volume | 45 | |
| gdc.description.woscitationindex | Emerging Sources Citation Index | |
| gdc.identifier.wos | WOS:000210130900006 | |
| gdc.index.type | WoS | |
| gdc.virtual.author | Yantir, Ahmet | |
| gdc.wos.citedcount | 12 | |
| oaire.citation.endPage | 573 | |
| oaire.citation.startPage | 561 | |
| person.identifier.orcid | Yantir- Ahmet/0000-0002-4855-1691, Cichon- Mieczyslaw/0000-0003-2255-9449, Sikorska-Nowak- Aneta/0000-0002-6613-9078 | |
| publicationissue.issueNumber | 3 | |
| publicationvolume.volumeNumber | 45 | |
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