Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion
Using Bressan-Colombo results, concerning the existence of continuous selections of lower semicontinuous multifunctions with decomposable values, we prove a continuous version of Filippov's theorem for a Sturm-Liuoville differential inclusion. This result allows to obtain a continuous selec...
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| Format: | Article |
| Language: | English |
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Texas State University
2008-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/53/abstr.html |
| _version_ | 1818566657015021568 |
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| author | Aurelian Cernea |
| author_facet | Aurelian Cernea |
| author_sort | Aurelian Cernea |
| collection | DOAJ |
| description | Using Bressan-Colombo results, concerning the existence of continuous selections of lower semicontinuous multifunctions with decomposable values, we prove a continuous version of Filippov's theorem for a Sturm-Liuoville differential inclusion. This result allows to obtain a continuous selection of the solution set of the problem considered. |
| first_indexed | 2024-12-14T01:56:34Z |
| format | Article |
| id | doaj.art-c378bbf22f184e448816e309e40f2256 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T01:56:34Z |
| publishDate | 2008-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-c378bbf22f184e448816e309e40f22562022-12-21T23:21:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-04-0120085317Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusionAurelian CerneaUsing Bressan-Colombo results, concerning the existence of continuous selections of lower semicontinuous multifunctions with decomposable values, we prove a continuous version of Filippov's theorem for a Sturm-Liuoville differential inclusion. This result allows to obtain a continuous selection of the solution set of the problem considered.http://ejde.math.txstate.edu/Volumes/2008/53/abstr.htmlLower semicontinuous multifunctionselectionsolution set |
| spellingShingle | Aurelian Cernea Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion Electronic Journal of Differential Equations Lower semicontinuous multifunction selection solution set |
| title | Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion |
| title_full | Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion |
| title_fullStr | Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion |
| title_full_unstemmed | Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion |
| title_short | Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion |
| title_sort | continuous version of filippov s theorem for a sturm liouville type differential inclusion |
| topic | Lower semicontinuous multifunction selection solution set |
| url | http://ejde.math.txstate.edu/Volumes/2008/53/abstr.html |
| work_keys_str_mv | AT aureliancernea continuousversionoffilippovstheoremforasturmliouvilletypedifferentialinclusion |