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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| 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 |
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doaj-b58442da967e4f07bb66804d9d8074072021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-03-0120091211010.14232/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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Yarou |
| spellingShingle |
M. Yarou Discretization methods for nonconvex differential inclusions Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
M. Yarou |
| author_sort |
M. Yarou |
| title |
Discretization methods for nonconvex differential inclusions |
| title_short |
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_sort |
discretization methods for nonconvex differential inclusions |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2009-03-01 |
| 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. |
| 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 |
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1721303860808515584 |