On the existence of solutions for a higher order differential inclusion without convexity
We prove a Filippov type existence theorem for solutions of a higher order differential inclusion in Banach spaces with nonconvex valued right hand side by applying the contraction principle in the space of the derivatives of solutions instead of the space of solutions.
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| Format: | Article |
| Language: | English |
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University of Szeged
2007-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=267 |
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doaj-ed01cada89724d96bdc2b4dbc033e9a72021-07-14T07:21:19ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752007-03-01200781810.14232/ejqtde.2007.1.8267On the existence of solutions for a higher order differential inclusion without convexityAurelian Cernea0University of Bucharest, Bucharest, RomaniaWe prove a Filippov type existence theorem for solutions of a higher order differential inclusion in Banach spaces with nonconvex valued right hand side by applying the contraction principle in the space of the derivatives of solutions instead of the space of solutions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=267 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aurelian Cernea |
| spellingShingle |
Aurelian Cernea On the existence of solutions for a higher order differential inclusion without convexity Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Aurelian Cernea |
| author_sort |
Aurelian Cernea |
| title |
On the existence of solutions for a higher order differential inclusion without convexity |
| title_short |
On the existence of solutions for a higher order differential inclusion without convexity |
| title_full |
On the existence of solutions for a higher order differential inclusion without convexity |
| title_fullStr |
On the existence of solutions for a higher order differential inclusion without convexity |
| title_full_unstemmed |
On the existence of solutions for a higher order differential inclusion without convexity |
| title_sort |
on the existence of solutions for a higher order differential inclusion without convexity |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2007-03-01 |
| description |
We prove a Filippov type existence theorem for solutions of a higher order differential inclusion in Banach spaces with nonconvex valued right hand side by applying the contraction principle in the space of the derivatives of solutions instead of the space of solutions. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=267 |
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AT aureliancernea ontheexistenceofsolutionsforahigherorderdifferentialinclusionwithoutconvexity |
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