Discretization methods for nonconvex differential inclusions
We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function and $f$ a Carath\'{e}odory function.
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| Format: | Article |
| Language: | English |
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University of Szeged
2009-03-01
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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=365 |
| _version_ | 1797830734605451264 |
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| author | M. Yarou |
| author_facet | M. Yarou |
| author_sort | M. Yarou |
| collection | DOAJ |
| description | We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function and $f$ a Carath\'{e}odory function. |
| first_indexed | 2024-04-09T13:40:49Z |
| format | Article |
| id | doaj.art-b58442da967e4f07bb66804d9d807407 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:49Z |
| publishDate | 2009-03-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-b58442da967e4f07bb66804d9d8074072023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752009-03-0120091211010.14232/ejqtde.2009.1.12365Discretization methods for nonconvex differential inclusionsM. Yarou0University of Jijel, Jijel, AlgeriaWe prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function and $f$ a Carath\'{e}odory function.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=365 |
| spellingShingle | M. Yarou Discretization methods for nonconvex differential inclusions Electronic Journal of Qualitative Theory of Differential Equations |
| title | Discretization methods for nonconvex differential inclusions |
| title_full | Discretization methods for nonconvex differential inclusions |
| title_fullStr | Discretization methods for nonconvex differential inclusions |
| title_full_unstemmed | Discretization methods for nonconvex differential inclusions |
| title_short | Discretization methods for nonconvex differential inclusions |
| title_sort | discretization methods for nonconvex differential inclusions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=365 |
| work_keys_str_mv | AT myarou discretizationmethodsfornonconvexdifferentialinclusions |