Weak Solutions for the Dynamic Cauchy Problem in Banach Spaces
| dc.contributor.author | Cichon, Mieczyslaw | |
| dc.contributor.author | Kubiaczyk, Ireneusz | |
| dc.contributor.author | Sikorska-Nowak, Aneta | |
| dc.contributor.author | Yantir, Ahmet | |
| dc.date.accessioned | 2024-07-05T15:12:07Z | |
| dc.date.available | 2024-07-05T15:12:07Z | |
| dc.date.issued | 2009 | |
| dc.description | Yantir, Ahmet/0000-0002-4855-1691; Yantır, Ahmet/0000-0002-4855-1691; Cichoń, Mieczysław/0000-0003-2255-9449; Sikorska-Nowak, Aneta/0000-0002-6613-9078 | en_US |
| dc.description.abstract | This paper is devoted to unify and extend the results of the existence of the weak solutions of continuous and discrete Cauchy problem in Banach spaces. We offer the existence of the weak solution of dynamic Cauchy problem on an infinite time scale. The measure of weak noncompactness and the fixed point theorem of Kubiaczyk are used to prove the main result. (C) 2009 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.na.2009.01.175 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.issn | 1873-5215 | |
| dc.identifier.scopus | 2-s2.0-67349131284 | |
| dc.identifier.uri | https://doi.org/10.1016/j.na.2009.01.175 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1537 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Nonlinear Analysis: Theory, Methods & Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Cauchy dynamic problem | en_US |
| dc.subject | Banach space | en_US |
| dc.subject | Weak solutions | en_US |
| dc.subject | Measure of weak noncompactness | en_US |
| dc.subject | Time scale | en_US |
| dc.title | Weak Solutions for the Dynamic Cauchy Problem in Banach Spaces | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Yantir, Ahmet/0000-0002-4855-1691 | |
| gdc.author.id | Yantır, Ahmet/0000-0002-4855-1691 | |
| gdc.author.id | Cichoń, Mieczysław/0000-0003-2255-9449 | |
| gdc.author.id | Sikorska-Nowak, Aneta/0000-0002-6613-9078 | |
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| gdc.author.wosid | Yantir, Ahmet/B-9005-2012 | |
| gdc.author.wosid | Yantır, Ahmet/K-3751-2019 | |
| gdc.author.wosid | Cichoń, Mieczysław/U-9930-2018 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Yantir, Ahmet] Atilim Univ, Dept Math, Ankara, Turkey; [Cichon, Mieczyslaw; Kubiaczyk, Ireneusz; Sikorska-Nowak, Aneta] Adam Mickiewicz Univ, Fac Math & Comp Sci, Poznan, Poland | en_US |
| gdc.description.endpage | 2943 | en_US |
| gdc.description.issue | 7-8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2936 | en_US |
| gdc.description.volume | 71 | en_US |
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| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Banach space | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | weak solutions | |
| gdc.oaire.keywords | Differential inequalities involving functions of a single real variable | |
| gdc.oaire.keywords | time scale | |
| gdc.oaire.keywords | measure of noncompactness | |
| gdc.oaire.keywords | Cauchy dynamic problem | |
| gdc.oaire.keywords | Nonlinear differential equations in abstract spaces | |
| gdc.oaire.keywords | Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc. | |
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