Existence of solutions to differential inclusions with primal lower nice functions

dc.contributor.authorFetouci, Nora
dc.contributor.authorYarou, Mustapha
dc.date.accessioned2023-06-13T15:24:15Z
dc.date.available2023-06-13T15:24:15Z
dc.date.issued2016-02-10
dc.description.abstractWe prove the existence of absolutely continuous solutions to the differential inclusion ẋ(t) ∈ F(x(t)) + h(t, x(t)), where F is an upper semi-continuous set-valued function with compact values such that F(x, t)) ⊂ ∂ƒ(x(t)) on [0, T], where ƒ is a primal lower nice function, and h a single valued Carathéodory perturbation.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFetouci, N., & Yarou, M. F. (2016). Existence of solutions to differential inclusions with primal lower nice functions. Electronic Journal of Differential Equations, 2016(48), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16922
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectEvolution problem
dc.subjectDifferential inclusion
dc.subjectPrimal lower nice functions
dc.subjectCaratheodory perturbation
dc.titleExistence of solutions to differential inclusions with primal lower nice functions
dc.typeArticle

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