Nonlinear Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
| dc.contributor.author | Ahmet Yantir | |
| dc.contributor.author | Ireneusz Kubiaczyk | |
| dc.contributor.author | Aneta Sikorska-Nowak | |
| dc.contributor.author | Yantir, Ahmet | |
| dc.contributor.author | Kubiaczyk, Ireneusz | |
| dc.contributor.author | Sikorska-Nowak, Aneta | |
| dc.date | OCT-DEC | |
| dc.date.accessioned | 2025-10-06T16:20:34Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | This paper is devoted to prove the existence of solutions of the nonlinear Sturm-Liouville boundary value problem on time scales in Banach spaces. We obtain the sufficient conditions for the existence of solutions in terms of Kuratowski measure of noncompactness. Winch's fixed point theorem is used to prove the main result. By the unification property of time scales our result is valid for Sturm-Liouville differential equations and difference equations but more interestingly by the extension property it is also valid for Sturm-Liouville q-difference equation. | |
| dc.identifier.doi | 10.36045/bbms/1382448182 | |
| dc.identifier.issn | 1370-1444 | |
| dc.identifier.issn | 2034-1970 | |
| dc.identifier.scopus | 2-s2.0-84896326415 | |
| dc.identifier.uri | http://dx.doi.org/10.36045/bbms/1382448182 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/6427 | |
| dc.identifier.uri | https://doi.org/10.36045/bbms/1382448182 | |
| dc.language.iso | English | |
| dc.publisher | BELGIAN MATHEMATICAL SOC TRIOMPHE | |
| dc.relation.ispartof | Bulletin of the Belgian Mathematical Society - Simon Stevin | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | |
| dc.subject | Sturm-Liouville problem, Banach space, measure of noncompactness, time scale | |
| dc.subject | BOUNDARY-VALUE-PROBLEMS, DIFFERENTIAL-EQUATIONS, POSITIVE SOLUTIONS, GREENS-FUNCTIONS, EXISTENCE | |
| dc.subject | Sturm-Liouville Problem | |
| dc.subject | Banach Space | |
| dc.subject | Time Scale | |
| dc.subject | Measure of Noncompactness | |
| dc.title | Nonlinear Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | Yantir, Ahmet/0000-0002-4855-1691 | |
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| gdc.author.wosid | Yantir, Ahmet/K-3751-2019 | |
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| gdc.description.departmenttemp | [Yantir, Ahmet] Yasar Univ, Dept Math, TR-35100 Izmir, Turkey; [Kubiaczyk, Ireneusz; Sikorska-Nowak, Aneta] Adam Micldewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland | |
| gdc.description.endpage | 601 | |
| gdc.description.issue | 4 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 587 | |
| gdc.description.volume | 20 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Banach space | |
| gdc.oaire.keywords | 39A13 | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | 34A40 | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | time scale | |
| gdc.oaire.keywords | Nonlinear differential equations in abstract spaces | |
| gdc.oaire.keywords | 34G20 | |
| gdc.oaire.keywords | Sturm-Liouville problem | |
| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Sturm-Liouville theory | |
| gdc.oaire.keywords | 46B50 | |
| gdc.oaire.keywords | Differential inequalities involving functions of a single real variable | |
| gdc.oaire.keywords | measure of noncompactness | |
| gdc.oaire.keywords | 34N05 | |
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| gdc.virtual.author | Yantir, Ahmet | |
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| person.identifier.orcid | Yantir- Ahmet/0000-0002-4855-1691, | |
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