Caratheodory perturbation of a second-order differential inclusion with constraints

dc.contributor.authorAmine, Saida
dc.contributor.authorMorchadi, Radouan
dc.contributor.authorSajid, Said
dc.date.accessioned2021-06-22T16:42:28Z
dc.date.available2021-06-22T16:42:28Z
dc.date.issued2005-10-21
dc.description.abstractWe prove the existence of local solutions for the second-order viability problem ẍ(t) ∈ ƒ(t,x(t), ẋ(t)) + F(x(t), ẋ(t)), x(t) ∈ K. Here K is a closed subset of ℝn, F is an upper semicontinuous multifunction with compact values contained in the subdifferential of a convex proper lower semicontinuous function V, and ƒ is a Carathéodory function.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAmine, S., Morchadi, R., & Sajid, S. (2005). Caratheodory perturbation of a second-order differential inclusion with constraints. <i>Electronic Journal of Differential Equations, 2005</i>(114), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13786
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectUpper semicontinuous multifunction
dc.subjectCyclically monotone
dc.subjectCaratheodory functions
dc.titleCaratheodory perturbation of a second-order differential inclusion with constraintsen_US
dc.typeArticle

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